What is the force of an electric field of strength 4.0 N/C on a charge of 0.5 C?
Please show work this is due today. Giving out brainliest.
The force on a charge of 0.5 C in an electric field of strength 4.0 N/C is 2.0 N.
What is electric field?
Any electrically charged object or collection of objects is surrounded by a physical field known as the electric field. Since it is a vector field, its magnitude and direction are both present. The force per unit charge that a test charge would experience if it were placed at that location in space is known as the electric field.
A stationary charge, such as a charged particle or an electrically charged item, can produce an electric field, as can a changing magnetic field, as in the case of electromagnetic waves. An electric field's strength at a given location is inversely proportional to its distance from the charge and inversely proportional to the quantity of charge present.
The force on a charged particle in an electric field is given by the formula:
F = qE
where F is the force in Newtons, q is the charge in Coulombs, and E is the electric field strength in N/C.
Given the electric field strength E = 4.0 N/C and the charge q = 0.5 C, we can calculate the force as follows:
F = qE
F = (0.5 C) x (4.0 N/C)
F = 2.0 N
Therefore, the force on a charge of 0.5 C in an electric field of strength 4.0 N/C is 2.0 N.
Learn more about electric field click here:
https://brainly.com/question/14372859
#SPJ1
A ball rolls from x= -5.0 m to x=32.4m in 8.9 seconds. what was its average velocity
Unit= m/s
** first to answer will be marked brainliest **
If a ball rolls from x= -5m t x= 32.4m in 8.9s. Then its average velocity is 4.2022 m/s.
What is velocity?Velocity is defined as the rate of change of displacement or the ratio of displacement and time.
Mathematically,
V=S/t
where
V= velocity in m/s
S= Displacement in m. we know that displacement can be positive and negative. when displacement is happening in a positive direction that is taken to be the positive and vice versa.
t= time taken in seconds.
Here in the given question
displacement happening in +ve and -ve directions,
look into the below figure.
so that the total displacement is
S= 32.4 -(-5)
S=37.4m
t=8.9 s
Velocity V=37.5/8.9
=4.2022m/s
Hence the average velocity of the ball is 4.2022m/s.
To learn more about Velocity click:
https://brainly.com/question/24259848
#SPJ9
Both circles have the same center. The circumference of the inner circle is 117.436 centimeters. What is the area of the shaded region?
The area of the shaded region is 4621.5 cm2 - 1083.8 cm2 = 3537.7 cm.
What is area?Area is the space or size of a two-dimensional surface or shape. It is a measure of the size of a surface and is typically expressed in square units, such as square feet or square meters. Area is usually calculated by multiplying the length of a shape by its width. For example, the area of a rectangle with a length of 4 feet and a width of 3 feet is 12 square feet. Area can also be calculated for shapes with curved sides such as circles, triangles, and other polygons.
The shaded region is the area between the two circles. To calculate the area of the shaded region, we need to subtract the area of the inner circle from the area of the outer circle.
The area of the outer circle can be calculated using the formula A = πr2, where r is the radius of the circle. Since the two circles have the same center, the radius of the outer circle is twice the radius of the inner circle.
Therefore, the radius of the outer circle is 2 × (117.436/2π) = 38.212 cm.
The area of the outer circle is A = π × 38.212^2 = 4621.5 cm2.
The area of the inner circle can be calculated using the same formula: A = πr2. The radius of the inner circle is (117.436/2π) = 18.606 cm.
The area of the inner circle is A = π × 18.606^2 = 1083.8 cm2.
To learn more about area
https://brainly.com/question/28012687
#SPJ9
One component of a magnetic field has a magnitude of 0. 0404 T and points along the x axis while the other component has a magnitude of 0. 0739 T and points along the y axis A particle carrying a charge of 2. 80 10 5 C is moving along the z axis at a speed of 4. 46 103 m s a Find the magnitude of the net magnetic force that acts on the particle b Determine the angle that the net force makes with respect to the x axis
a) The magnitude of the net magnetic force that acts on the particle is 2.18 x 10-6 N.
b) The angle that the net force makes with respect to the x axis is 63.8°.
A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field.Magnetic Field is the region around a magnetic material or a moving electric charge within which the force of magnetism acts. A pictorial representation of the magnetic field which describes how a magnetic force is distributed within and around a magnetic material.
For such more questions on magnetic field:
brainly.com/question/14411049
#SPJ11
Work is the quantity of _____. used to move an object.
Answer:
energy
Explanation:
Work is the quantity of energy. used to move an object.
A radio-controlled plane has a measured air velocity of 3.0 m/s [E]. If the plane drifts off course due to
a light wind with velocity 1.75 m/s [25° W of S], find the velocity of the plane relative to the ground. If
the distance travelled by the plane was 3.2 km, find the time it took the plane to travel that distance.
According to the question it took the plane 675 seconds (11 minutes and 15 seconds) to travel 3.2 km.
What is travel?Travel is the act of moving from one place to another, either for leisure or business purposes. It is often associated with exploration and discovery, as well as the opportunity to experience new cultures, cuisines, and landscapes.
The velocity of the plane relative to the ground is the vector sum of the air velocity (3.0 m/s [E]) and the wind velocity (1.75 m/s [25° W of S]).
The vector sum can be calculated using the Law of Cosines and the Law of Sines.
Using the Law of Cosines, we can calculate the magnitude of the vector sum:
|v| = √(3.0 m/s)2 + (1.75 m/s)2 - 2(3.0 m/s)(1.75 m/s)cos(25°)
|v| = 4.73 m/s
Using the Law of Sines, we can calculate the angle of the vector sum:
sin(θ) = (1.75 m/s)sin(25°) / 4.73 m/s
θ = 20.9°
Therefore, the velocity of the plane relative to the ground is 4.73 m/s [20.9° W of S].
To find the time it took the plane to travel 3.2 km, we can use the equation:
t = d / v
where t is the time in seconds, d is the distance in meters, and v is the velocity in m/s.
t = 3200 m / 4.73 m/s
t = 675 s
Therefore, it took the plane 675 seconds (11 minutes and 15 seconds) to travel 3.2 km.
To learn more about travel
https://brainly.com/question/28779362
#SPJ1
A light ray travelling through air approaches a crown glass block at 49° and refracts at 28.1°. What is the refractive index of the crown glass block?
The refractive index of the crown glass block can be calculated using Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the velocities in the two media.
What is refraction ?Refraction is the bending of light that occurs when it passes through a medium. It occurs when light moves from one medium to another and is caused by the change in the speed of light as it passes through different mediums. When light passes through a medium, the light waves are bent and the angle of the wave changes. This wave bending is what causes the phenomenon of refraction.
In this case, the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the velocities in the two media, which is the refractive index of the crown glass block.
The refractive index of the crown glass block is calculated as follows:
Refractive index = Sin(49°) / Sin (28.1°)
Refractive index = 1.75
Therefore, the refractive index of the crown glass block is 1.75.
To learn more about refraction
https://brainly.com/question/27932095
#SPJ1
How much gravitational force exists between a 75.0 kg person and a 90.0 kg person who are standing 5.0 meters apart from one another?
A. 270N
B. 9.0 x 10 N
C. 1.8 × 10-N
The magnitude of the gravitational force that exists between the two persons would be 2.01 × 10^-7 N.
Gravitational forcesThe gravitational force between two objects can be calculated using the formula:
F = G(m1m2)/r^2
where F is the gravitational force, G is the gravitational constant (6.67 × 10^-11 Nm^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.
Plugging in the values given, we get:
F = (6.67 × 10^-11 Nm^2/kg^2)(75.0 kg)(90.0 kg)/(5.0 m)^2
F = 2.01 × 10^-7 N
Therefore, the gravitational force between the two people is approximately 2.01 × 10^-7 N.
More on gravitational forces can be found here: https://brainly.com/question/12528243
#SPJ1
A fish swimming in a horizontal plane has velocity v with arrowi = (4.00 î + 1.00 ĵ) m/s at a point in the ocean where the position relative to a certain rock is r with arrowi = (14.0 î − 2.80 ĵ) m. After the fish swims with constant acceleration for 19.0 s, its velocity is v with arrow = (23.0 î − 1.00 ĵ) m/s.
(a) What are the components of the acceleration of the fish?
ax =
m/s2
ay =
m/s2
(b) What is the direction of its acceleration with respect to unit vector î?
° counterclockwise from the +x-axis
(c) If the fish maintains constant acceleration, where is it at t = 26.0 s?
x =
m
y =
m
In what direction is it moving?
° counterclockwise from the +x-axis
(a) We can find the components of the acceleration of the fish by using the following kinematic equation:
v = u + at
where u is the initial velocity, v is the final velocity, a is the acceleration, and t is the time interval.
Let's find the acceleration of the fish in the x-direction first:
v_x = u_x + a_xt
where v_x is the x-component of the final velocity, u_x is the x-component of the initial velocity, a_x is the x-component of the acceleration, and t is the time interval.
Substituting the given values, we get:
23.0 = 4.00 + a_x * 19.0
Solving for a_x, we get:
a_x = (23.0 - 4.00) / 19.0 = 0.895 m/s^2
Similarly, we can find the acceleration of the fish in the y-direction:
v_y = u_y + a_yt
where v_y is the y-component of the final velocity, u_y is the y-component of the initial velocity, a_y is the y-component of the acceleration, and t is the time interval.
Substituting the given values, we get:
-1.00 = 1.00 + a_y * 19.0
Solving for a_y, we get:
a_y = (-1.00 - 1.00) / 19.0 = -0.105 m/s^2
Therefore, the components of the acceleration of the fish are:
a_x = 0.895 m/s²
a_y = -0.105 m/s²
What is acceleration?The rate of change of velocity of an object over the course of time is defined as acceleration. It is a vector quantity, that also means it has magnitude as well as direction. Acceleration occurs when an object changes its velocity, either by increasing or decreasing its speed or by changing its direction of motion. The following formula may be utilized to calculate an object's acceleration:
a = (v_f - v_i) / t
(b) To find the direction of the acceleration with respect to unit vector î, we can use the following formula:
θ = tan⁻¹(a_y / a_x)
Substituting the values we just found, we get:
θ = tan⁻¹(-0.105 / 0.895) = -6.84°
Therefore, the direction of the acceleration with respect to unit vector î is 6.84° clockwise from the +x-axis.
(c) To find the position of the fish at t = 26.0 s, we can use the following kinematic equations:
x = u_xt + 0.5 a_xt²
y = u_yt + 0.5 a_yt²
where x is the position in the x-direction, y is the position in the y-direction, u_x is the initial velocity in the x-direction, u_y is the initial velocity in the y-direction, a_x is the acceleration in the x-direction, a_y is the acceleration in the y-direction, and t is the time interval.
Let's first find the position of the fish in the x-direction:
x = u_xt + 0.5 a_xt²
Substituting the given values, we get:
x = 14.0 + 0.5 * 0.895 * (26.0 - 19.0)² = 37.4 m
Similarly, we can find the position of the fish in the y-direction:
y = u_yt + 0.5 a_yt²
Substituting the given values, we get:
y = -2.80 + 0.5 * (-0.105) * (26.0 - 19.0)²= -3.17 m
Therefore, the fish is at the position (37.4 m, -3.17 m) at t = 26.0 s.
To know more about velocity, visit:
https://brainly.com/question/17127206
#SPJ1
Earthquake activity in california is primarily caused by
Answer:
Movements of the tectonic plates
Explanation:
Earthquake activity in California is primarily caused by the movement of the tectonic plates that make up the Earth's crust. California lies along the boundary where the Pacific Plate and the North American Plate meet, which is known as the San Andreas Fault. The movement of these plates causes stress to build up in the Earth's crust, which can lead to earthquakes. Additionally, there are many other faults in California, both large and small, that contribute to earthquake activity in the state.
Bats chirp at high frequencies that humans cannot hear. They use echoes to detect objects, such as insects, that are as small as one wavelength. A bat emits a chirp at a frequency of 45.4 kHz. Calculate the size in millimeters of the smallest insect that the bat can detect. (The speed of sound waves in air is 340 m/s.)
The 25 size in millimeters of the smallest insect that the bat can detect.
What is wavelength ?
The distance between identical points (adjacent crests) in adjacent cycles determines how far a waveform signal has travelled in space or over a wire. In wireless systems, this length is often expressed in metres (m), centimetres (cm), or millimetres (mm).
What is speed ?
The rate of a directionally changing object's location. The SI unit of speed is created by combining the fundamental units of length and time. Meters per second (m/s) is the unit of speed in the metric system.
Therefore, 25 size in millimeters of the smallest insect that the bat can detect.
Learn more about wavelength from the given link.
https://brainly.com/question/22866521
#SPJ1
In a vehicle traveling at 20 miles per hour, the force of your car impacting a surface is ______ times as great as at 10 MPH. Two Four Six Twelve
At 20 miles per hour, the force of your car impacting a surface is four times as great as at 10 MPH.
Impact surface means a surface that either moves or comes in contact with a moveable surface and is subject to damage by repeated sudden force, impact, or contact, such as doors and windows with certain parts of their frames.
The term “impact surface” means an interior or exterior surface that is subject to damage by repeated impacts. an impinging or striking especially of one body against another. : a forceful contact or onset. also : the impetus communicated in or as if in such a contact. : the force of impression of one thing on another .
For such more questions on force of impact:
brainly.com/question/12912354
#SPJ11
Which of the following place high stress on your intestines?
Intestinal stress from protein is high. the optimal response is (C). According to the vast majority of studies, consuming more protein than 2 grams per kilogram of body mass per day can have adverse medical consequences over term.
Intestinal pain and indigestion are signs of eating too much protein. A high-protein diet can also assist with diarrhea and constipation, which is why a fish filet or a roast chicken is preferable to a spaghetti meal.
What effects does protein have on your gut?
Increased risk of illness is caused by infections and bacteria that ferment proteins when excessive and undigested consumption of protein is present. By controlling the gene transcription in pertinent signal transduction pathways as well as the production of chemicals, such changes inside the microbiota can have an effect on the immune system as well as the gut barrier.
To know more about mass click here
brainly.com/question/30337818
#SPJ4
Match the terms with their definitions. (4 points)
1.
Absolute zero
2.
Heat
3.
Temperature
4.
Latent heat
a.
Energy transferred from one object to another due to a temperature difference
b.
The degree of hotness or coldness of a body or environment
c.
The temperature at which a substance has no kinetic energy per particle to give up
d.
The energy released or absorbed by a substance during a change of state
The correct matches of the terms are Absolute zero represents the absence of thermal energy, heat is the transfer of energy, temperature measures the intensity of heat, and latent heat is involved in phase changes.
1. Absolute zero is the temperature at which a substance has no kinetic energy per particle to give up. Absolute zero is the lowest possible temperature, at which all molecular motion ceases.
2. Heat is the energy transferred from one object to another due to a temperature difference. Heat is the transfer of thermal energy from a hotter object to a colder object.
3. Temperature is the degree of hotness or coldness of a body or environment. Temperature measures the average kinetic energy of the particles in a substance, indicating how hot or cold it is.
4. Latent heat is the energy released or absorbed by a substance during a change of state. Latent heat is the heat energy absorbed or released when a substance undergoes a change of state, such as melting, vaporization, or condensation, while the temperature remains constant.
Learn more about Temperature here:
https://brainly.com/question/27944554
#SPJ2
Can you please help me with this question?
To measure the voltage across R₂ using an oscilloscope, you need to connect the probe across R₂ in parallel.
How to measure the voltageTo measure the voltage across R₂ using an oscilloscope, you need to connect the probe across R₂ in parallel. Here's how you can do it:
Turn off the power to the circuit and make sure that it is completely discharged.
Take the oscilloscope probe and connect the ground clip to the ground reference of the circuit.
Connect the probe tip to the point where you want to measure the voltage, which in this case is across R₂.
Set the oscilloscope to the appropriate voltage range and scale so that you can clearly see the waveform.
Turn on the power to the circuit and observe the waveform on the oscilloscope.
Learn more about voltage on:
https://brainly.com/question/1176850
#SPJ1
6. Applying Concepts The area of an output
piston is 25 times greater than the area of the
input piston. If the input force is 40 newtons,
what is the output force?
helppp please
Answer:
[tex]1000\; {\rm N}[/tex].
Explanation:
By Pascal's Law, the pressure on the two pistons should be the same.
Let [tex]F_{\text{in}}[/tex] and [tex]F_{\text{out}}[/tex] denote the forces on the two pistons. Let [tex]A_{\text{in}}[/tex] and [tex]A_{\text{out}}[/tex] denote the area of the two pistons.
Divide force by area to find the pressure.
Pressure on the input piston: [tex]\displaystyle P_{\text{in}} = (F_{\text{in}}/A_{\text{in}})[/tex].Pressure on the output piston: [tex]\displaystyle P_{\text{out}} = (F_{\text{out}} / A_{\text{out}})[/tex].By Pascal's Law, [tex]P_{\text{in}} = P_{\text{out}}[/tex]. Therefore:
[tex]\displaystyle \frac{F_{\text{in}}}{A_{\text{in}}} = \frac{F_{\text{out}}}{A_{\text{out}}}[/tex].
It is given that [tex]F_{\text{in}} = 40\; {\rm N}[/tex] and that [tex]A_{\text{out}} = 25\, A_{\text{in}}[/tex]. Therefore, the equation becomes:
[tex]\displaystyle \frac{40\; {\rm N}}{A_{\text{in}}} = \frac{F_{\text{out}}}{25\, A_{\text{in}}}[/tex].
Rearrange to find [tex]F_{\text{out}}[/tex]:
[tex]\begin{aligned}F_{\text{out}} &= \frac{(40\; {\rm N})\, (25\, A_{\text{in}})}{A_{\text{in}}} = 1000\; {\rm N}\end{aligned}[/tex].
What is the mass of an object if it has 420 J of potential energy while suspended by a rope 48 m above the ground?
Answer:
0.89kg
Explanation:
PE=mgh
PE=420 m=? g=9.8m/s^2 h=48
Making m the subject of formula
[tex]m = \frac{pe}{gh} [/tex]
[tex] = \frac{420}{9.8 \times 48} [/tex]
[tex] = \frac{420}{470.4} [/tex]
m=0.89kg
Based on the formula for impulse, what aspect (time, mass, or velocity) will ultimately affect the force of a moving object coming to a complete stop? Why does this work mathematically?
By the usage of momentum change: The formulation to calculate impulse via momentum change is by means of calculating the mass of the physique and the velocity. In this case, Impulse will be equal to the product of mass and velocity. So J= m*v.
How does mass and velocity have an effect on impulse?Momentum, Impulse, and the Impulse-Momentum Theorem
p = m v . p = m v . You can see from the equation that momentum is directly proportional to the object's mass (m) and speed (v). Therefore, the higher an object's mass or the greater its velocity, the greater its momentum.
Is impulse mass times trade in velocity?The object's trade in momentum is equal to the impulse it experiences. The system is F • t = Δ m • v . The product of an object's mass and velocity determine its exchange in momentum.
Learn more about velocity here;
https://brainly.com/question/80295
#SPJ1
an object of mass 2000m covers a max vertical distance from the ground calculate the velocity with which it was thrown. take g= 10m/s^2
An object of mass m to covers 2000m max vertical distance from the ground thrown at the velocity of 197 m/s
What is velocity & Acceleration ?Velocity is "rate of change of displacement with respect to time".
i.e. v= dx/dt
it is also defined as displacement over time. i.e. v=Displacement/Time.
Velocity shows how much distance can be covered in unit time. It's SI unit m/s.
Acceleration is rate of change of velocity with respect to time.
i.e. a = dv/dt
if an object changes its velocity in short time, we can say that it has grater acceleration.
a= dv/dt =Δv/Δt = [tex]\frac{v_{2} - v_{1}}{t_{2} - t_{1}}[/tex]
where v₂= initial velocity
v₁= final velocity
t₂= initial time
t₁ = final time
Given,
Distance = 2000m
Acceleration due to gravity 10 m/s²
By the equation of kinematics,
v² = u² + 2as....... 1)
where v = final velocity
u = Initial velocity
a = acceleration
s = distance
in this case when an object of mass m is thrown vertically it attains max distance at that point final velocity becomes zero. We are performing this experiment on earth so our acceleration will be acceleration due to gravity g.
ie. v=0 and a = g
equation 1) becomes
0=u² + 2×9.8×2000
u²+ 39200 = 0
u = √39200 = 197 m/s
u= 197 m/s
Hence calculated velocity with which it was thrown is 197 m/s
To know more about velocity, click :
https://brainly.com/question/17127206
#SPJ9
Please help! Will give brainliest!
An ideal gas expands in an adiabatic process that increases its volume by a factor of 3. 5. The initial pressure is 6. 4 × 10^5 Pa. What is the final pressure? Let γ = 1. 57.
9. 0 × 104 Pa
1. 2 × 104 Pa
6. 4 × 104 Pa
8. 9 × 105 Pa
1. 1 × 105 Pa
An ideal gas expands in an adiabatic process that increases its volume by a factor of 3. 5. The initial pressure is 6. 4 × 10^5 Pa. The final pressure is 8.9 × 10^5 Pa.
In thermodynamics, an adiabatic process is a type of thermodynamic process that occurs without transferring heat or mass between the thermodynamic system and its environment. Unlike an isothermal process, an adiabatic process transfers energy to the surroundings only as work.An adiabatic process is defined as a process in which no heat transfer takes place. This does not mean that the temperature is constant, but rather that no heat is transferred into or out from the system.adiabatic process, in thermodynamics, change occurring within a system as a result of transfer of energy to or from the system in the form of work only; i.e., no heat is transferred. A rapid expansion or contraction of a gas is very nearly adiabatic.
For such more questions on adiabatic process:
https://brainly.com/question/3962272
#SPJ11
When they collide, or combining into clusters
When particles collide, they can either bounce off each other or stick together to form larger clusters.
The outcome of a collision depends on the properties of the particles involved, including their size, shape, and composition, as well as the conditions under which the collision occurs, such as temperature, pressure, and velocity. In elastic collisions, particles bounce off each other without losing any energy or undergoing any permanent deformation. In inelastic collisions, particles stick together to form larger clusters, which can range in size from small molecules to large aggregates. In some cases, collisions can also result in chemical reactions, where the particles involved undergo a chemical transformation to form new compounds. The way in which particles collide and interact with each other is important in many areas of science and engineering, including materials science, chemical reactions, and the behavior of gases and fluids. By understanding the dynamics of particle collisions, scientists and engineers can develop new materials and processes, and gain insights into the fundamental nature of matter and energy.
To learn more about Particle click the link below
brainly.com/question/29765133
#SPJ4
help me with this quickly please
The amount of heat energy gained by the sample of copper is 15600 J
How do I determine the heat energy gained?First, we shall carefully list out the given parameters from the table in the question above. This is given below:
Mass of copper (M) = 2.0 KgSpecific heat capacity of copper (C) = 390 J/KgK Initial temperature of copper (T₁) = 253 KFinal temperature of copper (T₂) = 273 KTemperature change (ΔT) = 273 – 253 = 20 KHeat gained (Q) =?The heat gained by the sample of copper cab be obtained as follow:
Q = MCΔT
Q = 2 × 390 × 20
Q = 15600 J
Thus, from the above calculation, we can conclude that the heat gained is 15600 J (none of the options are correct)
Learn more about heat:
https://brainly.com/question/16398667
#SPJ1
2. A grinding wheel, initially at rest, is rotated with constant angular acceleration a = 5.0 rad/s^2 for 8.0s. The wheel is then brought to rest, with uniform negative acceleration, in 10 rev. Determine the negative angular acceleration required and the time needed to bring the wheel to rest.
The negative angular acceleration required to bring the wheel to rest is approximately -0.126 rad/s^2, and the time needed to bring the wheel to rest is approximately 20.04 seconds.
Step by step explanationLet's first find the initial and final angular velocities of the wheel.
The initial angular velocity is zero because the wheel is initially at rest.
The final angular velocity can be found using the formula:
ωf = ωi + αt
where
ωf = final angular velocity
ωi = initial angular velocity (which is zero)
α = angular acceleration (5.0 rad/s^2)
t = time (8.0 s)
ωf = 0 + (5.0 rad/s^2)(8.0 s) = 40.0 rad/s
The negative angular acceleration can be found using the formula:
Δω = ωf - ωi = αt
where
Δω = change in angular velocity (which is equal to the final angular velocity because the initial angular velocity is zero)
α = angular acceleration (which is negative because the wheel is slowing down)
t = time
So we have:
Δω = 40.0 rad/s
αt = -α(10 rev)(2π rad/rev)/t
where we have converted 10 revolutions to radians (2π radians per revolution).
Setting these two expressions equal to each other and solving for α, we get:
α = -Δω/t = -(40.0 rad/s)/(10 rev x 2π rad/rev x t)
α = -2.53/t rad/s^2
Finally, we can use the formula for angular deceleration to find the time needed to bring the wheel to rest:
ωf^2 = ωi^2 + 2αΔθ
where
Δθ = angle through which the wheel rotates during the deceleration (which is 10 revolutions)
ωf = final angular velocity (which is zero)
ωi = initial angular velocity (which is 40.0 rad/s)
α = angular acceleration (which is negative)
So we have:
0 = (40.0 rad/s)^2 + 2(-2.53/t)(10 rev x 2π rad/rev)
0 = 1600 - 318.48/t
t = 20.04 s
Therefore, the negative angular acceleration required to bring the wheel to rest is approximately -0.126 rad/s^2, and the time needed to bring the wheel to rest is approximately 20.04 seconds.
Learn more on angular acceleration here https://brainly.com/question/30142595
#SPJ1
Container X contains 1. 0 mol of an ideal gas. Container Y contains 2. 0 mol of the ideal gas. Y has four times the volume of X. The pressure in X is twice that in Y. What is the ratio of temperature of gas in X to temperature of gas in Y?
The ratio of temperature of gas in X to temperature of gas in Y is 2:1.
This is due to the Ideal Gas Law, which states that PV = nRT. Since the pressure and volume are different, the temperature must also be different. Since the pressure in Container X is twice that of Container Y, the temperature in Container X must be twice that of Container Y. Therefore, the ratio of temperature of gas in X to temperature of gas in Y is 2:1.The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas.
For such more questions on Ideal Gas Law:
brainly.com/question/11236279
#SPJ11
Mike recently purchased an optical telescope. Identify the part of the electromagnetic spectrum that is closest to the frequency that Mike can observe
with the help of his new tool.
gamma ray
x-ray
ultraviolet
infrared
microwave
radio
Gamma rays and radio waves both fall under the electromagnetic spectrum. Presented is a picture that shows the complete spectrum. But the optical telescope can only see the visible spectrum. As a result, it is limited to frequencies between [tex]400[/tex] and [tex]700 nm[/tex].
What is the role of electromagnetic spectrum?It is safe to infer that Mike will be observing the visible region of the electromagnetic spectrum, since he recently bought an optical telescope.
The capacity of a thing to attract other objects to it; connected with or produced by the magnetic force. Physics. The study of the relationship between magnetism and electricity is referred to as electromagnetism.
The colours of the rainbow that the human eye can see, from violet to red, are included in this region of the electromagnetic spectrum.
Therefore, the closest frequency Mike can see with his new device is in the visible light spectrum, which lies between ultraviolet and infrared on the electromagnetic spectrum.
Learn more about spectrum here:
https://brainly.com/question/3997802
#SPJ1
Calculate the momentum of a ball with a mass of 7.5 kg moving at a velocity of 8
m/s.
A homemade 2 liter bottle (0.200 kg) rocket is launched up into the air during a physics class. On the way back down a parachute is deployed and creates a drag force from resistance. If the rocket is moving with an acceleration of 2m / (s ^ 2) , what is the drag force created by the parachute ?
The drag force created by the parachute can be calculated using the equation F = 0.5 * ρ * A * V2, where ρ is the density of the air, A is the area of the parachute, and V is the velocity of the rocket.
What is parachute?Parachute is an aircraft device used to slow down a person or object's fall during a jump or a descent from a significant height. The device consists of a canopy made of fabric or nylon which is attached to a harness. The canopy is designed to fill with air as it descends, thus providing drag to slow the descent. Parachutes are commonly used by skydivers and BASE jumpers, as well as by military forces to safely deploy personnel and equipment.
In this case, the density of the air is 1.225 kg/m3, the area of the parachute can be estimated based on the size of the rocket, and the velocity of the rocket can be calculated using the formula V = at, where a is the acceleration and t is the time it takes for the rocket to reach the ground.
Assuming the rocket is launched at an initial velocity of 0 and the time it takes to reach the ground is 5 seconds, then the velocity of the rocket is 10 m/s.
Therefore, the drag force created by the parachute is calculated as:
F = 0.5 * 1.225 kg/m3 * (estimated area of parachute) * (10 m/s)2
F = 0.5 * 1.225 kg/m3 * (0.1 m2) * (10 m/s)2
F = 6.1375 N
To learn more about parachute
https://brainly.com/question/30697049
#SPJ9
A drag racer accelerated from 0m/s to 200m/s in 5 seconds
The acceleration of the drag racer when he attains the speed of 200 m/s from 0 m/s in just five seconds is 40 m/s^2.
Acceleration refers to the rate at which the moving object acquires a certain velocity in a specific period of time. It is denoted by 'a'. It is also equal to ratio of change in velocity to the difference of time taken.
In the given scenario, the drag racer attains a speed of 200 m/s from 0 m/s. This means the change in velocity is given as follows:
Change in velocity = 200 - 0 = 200 m/s
Since the time taken by the drag racer to attains this speed is 5 seconds, therefore acceleration = change in velocity/ time
Acceleration = 200/5 = 40 m/s^2
Learn more about acceleration at:
brainly.com/question/30654540
#SPJ4
Refer to complete question below:
A drag racer accelerated from 0 m/s to 200 m/s in 5seconds . What was the acceleration of the drag racer?
b) Two rods: A and B, having same weight and equal length have different thickness.
Rod A is thinner while Rod B is thicker. They are held vertically on the surface of sand. Which one of them will sink more? Why?
Answer:
V ρ = W volume * weight density = weight
Since rod A will produce less resistance to sand it will sink more.
A vehicle is travelling up a ramp that follows the curve y=0. 6x2 where x and y are in [m]. As the vehicle moves through point (Om, O m) where s = 0 m, it has a speed of Vo = 13. 6 [m/s]. The vehicle then increases its speed at a rate i = 0. 078 [m/s2). Determine the vehicle's speed and total acceleration magnitude when the vehicle's position along the path is s = 4. 7105 [m], at which instant i = 2. 5 [m]. V= number (rtol=0. 02, atol=0. 02) a m/s 2 m/s? a = number (rtol=0. 02, atol=0. 02)
The vehicle's speed at s = 4.7105 m is approximately 13.77 m/s (to two significant figures), and the magnitude of its total acceleration is approximately 4.50 m/s^2 (to two significant figures).
A vehicle is moving up a ramp that follows the curve y=0.6x^2. At the start, the vehicle has a speed of 13.6m/s and it increases its speed at a rate of 0.078m/s^2. When it reaches s=4.7105m, the vehicle's speed is 13.77m/s, and the magnitude of its total acceleration is 4.50m/s^2.
These values were calculated using the equations of motion for motion with constant acceleration. The horizontal component of the acceleration is 4.492m/s^2 and the vertical component is 0.078m/s^2.
To know more about acceleration:
https://brainly.com/question/30660316
#SPJ4