The truck bed and the crate's static coefficient of friction, assuming the crate doesn't slide, is 0.400.
In the event that the container does not slide, what is the coefficient of static friction between the crate and the truck bed?Between the truck bed and the crate, there is 0.64 coefficient of static friction. When the bed is in the position depicted, the truck must move quickly to the right in order to make the crate slide.
The coefficient of static friction can be calculated in what way?The resistive friction force (Fr) divided by the normal or perpendicular pushing force (N) yields the coefficient of friction, which is a numerical value. The formula fr = Fr/N is used to represent it.
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The acceleration of a motorcycle is given by ax(t)=At-Bt2,A=1.5m/s2,B=0.120m/s2,the motorcycle at rest at t=0 a)Find its position and velocity as function of time b)What maximum velocity it attains
Answer:
(a)
[tex]v(t) = \frac{At^2}{2} -\frac{Bt^3}{3}[/tex] --- velocity
[tex]x(t) = \frac{At^3}{6} -\frac{Bt^4}{12} + x(0)[/tex] --- position
(b) The maximum velocity is: 39.0625m/s
Explanation:
Given
[tex]a_x(t) =At -Bt^2[/tex]
[tex]A = 1.5m/s^3[/tex]
[tex]B = 0.120m/s^4[/tex]
Solving (a): The position and velocity as a function
To calculate the change in velocity, we integrate the given acceleration
i.e.
[tex]\int\limits^{v(t)}_{v(0)} {dv} = \int\limits^t_0 {a(t)} \, dt[/tex]
Integrate
[tex]v|\limits^{v(t)}_{v(0)} = \int\limits^t_0 {a(t)} \, dt[/tex]
Substitute v(t) and v(0) for v
[tex]v(t) - v(0) = \int\limits^t_0 {a(t)} \, dt[/tex]
[tex]v(0) = 0[/tex] ---- The initial velocity.
So, we have:
[tex]v(t) - 0 = \int\limits^t_0 {a(t)} \, dt[/tex]
[tex]v(t) = \int\limits^t_0 {a(t)} \, dt[/tex]
Substitute: [tex]a_x(t) =At -Bt^2[/tex]
[tex]v(t) = \int\limits^t_0 {[At -Bt^2]} \, dt[/tex]
Integrate
[tex]v(t) = {\frac{At^2}{2} -\frac{Bt^3}{3}}|\limits^t_0[/tex]
Substitute 0 and t for t
[tex]v(t) = [\frac{At^2}{2} -\frac{Bt^3}{3}] - [\frac{A*0^2}{2} -\frac{B*0^3}{3}][/tex]
[tex]v(t) = [\frac{At^2}{2} -\frac{Bt^3}{3}] - 0[/tex]
[tex]v(t) = \frac{At^2}{2} -\frac{Bt^3}{3}[/tex]
To calculate the change in position, we integrate the calculated velocity
i.e.
[tex]\int\limits^{x(t)}_{x(0)} {dx} = \int\limits^t_0 {v(t)} \, dt[/tex]
Integrate
[tex]x(t)|\limits^{x(t)}_{x(0)} = \int\limits^t_0 {v(t)} \, dt[/tex]
Substitute x(t) and x(0) for x(t)
[tex]x(t) - x(0) = \int\limits^t_0 {v(t)} \, dt[/tex]
Substitute: [tex]v(t) = \frac{At^2}{2} -\frac{Bt^3}{3}[/tex]
[tex]x(t) - x(0) = \int\limits^t_0 {\frac{At^2}{2} -\frac{Bt^3}{3}} \, dt[/tex]
Integrate
[tex]x(t) - x(0) = \frac{At^3}{6} -\frac{Bt^4}{12}}|\limits^t_0[/tex]
Substitute t and 0 for t
[tex]x(t) - x(0) = [\frac{At^3}{6} -\frac{Bt^4}{12}] - [\frac{A*0^3}{6} -\frac{B*0^4}{12}][/tex]
[tex]x(t) - x(0) = [\frac{At^3}{6} -\frac{Bt^4}{12}] - [0][/tex]
[tex]x(t) - x(0) = \frac{At^3}{6} -\frac{Bt^4}{12}[/tex]
Make x(t) the subject
[tex]x(t) = \frac{At^3}{6} -\frac{Bt^4}{12} + x(0)[/tex]
Where x(0) represents the initial position
Solving (b): The maximum velocity
First, we calculate the time at which it attains the maximum height
Set acceleration to 0
[tex]a_x(t) =At -Bt^2[/tex]
[tex]At - Bt^2 = 0[/tex]
Factorize
[tex]t(A - Bt) = 0[/tex]
Split
[tex]t = 0\ or\ A - Bt = 0[/tex]
t can't be 0.
So, we have:
[tex]A - Bt = 0[/tex]
Solve for t
[tex]-Bt = -A[/tex]
[tex]t = \frac{-A}{-B}[/tex]
[tex]t = \frac{A}{B}[/tex]
Substitute: [tex]A = 1.5m/s^3[/tex] and [tex]B = 0.120m/s^4[/tex]
[tex]t = \frac{1.5m/s^3}{0.120m/s^4}[/tex]
[tex]t = \frac{1.5}{0.120}s[/tex]
[tex]t = 12.5s[/tex]
Substitute [tex]t = 12.5s[/tex] in v(t) to get the maximum velocity
[tex]v(t) = \frac{At^2}{2} -\frac{Bt^3}{3}[/tex]
[tex]v(t) = \frac{A*12.5^2}{2} -\frac{B*12.5^3}{3}[/tex]
[tex]v(t) = \frac{156.25A}{2} -\frac{1953.125B}{3}[/tex]
Substitute: [tex]A = 1.5m/s^3[/tex] and [tex]B = 0.120m/s^4[/tex]
[tex]vmax = (156.25*1.5)/2 -(1953.125*0.120)/3[/tex]
[tex]v_{max} = 117.1875 - 78.125[/tex]
[tex]v_{max} = 39.0625[/tex]
When using a torque increases with a lever?
Since torque is directly proportional to body mass, while the lever arm remains fixed and the mass of the stone grows, so does the torque.
Lever:
Lever is a type of simple machine composed of a stiff beam and a fulcrum. The fulcrum is the point on which the beam pivots. The effort and load are delivered to either end of the beam. A load is applied to the opposite end of a lever when force is applied to the one end.
The three classes of levers are first, second, and third class levers.
The fulcrum of superior levers is positioned between the weight and the effort.
Levers of inferior quality with weight between the fulcrum and the effort
Third-class levers need effort between movements fulcrum and load.
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For the circuit in the attached plot, find the energy stored in the capacitor under DC conditions. O 30 mJ O 3 mJ O 0.045 mJ O 0.005 mJ
The energy stored in the capacitor is 0.045 mJ. Under DC conditions, the capacitors will be open-circuited.
What is the formula for energy stored in a capacitor?Energy stored in a capacitor can be calculated by
E = ½ CV²
Where
E = energy (J)C = capacitance (F)V = voltage (V)The picture of circuit in the attached plot is in the attachment.
Find the energy stored in the capacitor under DC conditions!
We have
R₁ = 10 ΩR₂ = 20 ΩC = 0.1 μFI = 3 AUnder DC (Direct Current) conditions, the capacitors will be open-circuited. It means that there is no current will flow through the 20 Ω resistor. So, I across the 10 Ω resistor is the same as I source.
See the picture below in the attachment!
The voltage across the 10 Ω resistor is
V = IR
V = 3(10)
V = 30 V
The voltage across the capacitor is the same as the voltage across the 10 Ω resistor.
Vc = V = 30 V
The energy stored would be
E = ½ C Vc²
E = ½ (0.1)(10⁻⁶)(30)²
E = ½ (10⁻⁷)(900)
E = 450 × 10⁻⁷
E = 0.045 × 10⁻³
E = 0.045 mJ
Hence, the energy stored in the capacitor under DC conditions is 0.045 mJ. The correct option is (c).
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Example: A ball rolls off a table 1.5 m high and lands 0.80 m away from the table.
(a) How long will the ball be in the air?
(b) What is the ball's initial horizontal velocity?
(c) What will be the ball's horizontal and vertical velocities when it hits the ground?
Answer:
Below
Explanation:
To fall 1.8 m the time will be found with :
d = 1/2 a t^2
1.5 = 1/2 ( 9.81) t^2 shows t = .55 s
in this .55 s it travels .8 m horizontally
Horizontal velocity = .8 m / .55 s = 1.45 m/s
When it hits the ground , horizontal velocity will still be 1.45 m/s
vertical velocity will be v = at = 9.81 m/s^2 * .55 = 5.42 m/s
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
law of gravity
Explanation:
cause the ball was still moving
Answer: the answer is law of gravity
Explanation:
What is the contribution of hydroelectric power in world electricity?
Hydroelectric power accounts for between 16 and 17 percent of global electricity production, making it one of the most significant renewable energy sources.
In 2016, hydropower contributed more than twice as much to the grid as the next largest renewable energy source, solar. Hydropower can provide many valuable services to the power grid beyond just energy generation. These include frequency regulation, voltage support, contingency reserves, load following, and black start service, all of which contribute to the reliability and safety of the power system. Hydropower's role in grid-scale energy storage, balancing services for other intermittent renewables like wind and solar power, and water management services by reservoirs are growing.
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Which of the following factors affects the strength of the gravitational force between two objects?
Answer: The distance between the objects
Explanation:
The same amount of steel used to create eight solid steel balls, each with a radius of 1 inch, is used to create one larger steel ball. What is the radius of the larger ball
Answer:
2 inches
Explanation:
Volume of a sphere = 4/3 pi r^3
for the EIGHT balls total volume = 8 * 4/3 pi (1^3) = 32/3 pi
This is the volume of the made-up ONE ball
4/3 pi r^3 = 32/3 pi
4/3 r^3 = 32/3
r^3 = 32/3 * 3/4
r^3 = 8
r = 2 inches
A truck was traveling at 24 m/s in came to a stop in 8 seconds. What was the truck's average acceleration over
that time period?
-3 m/s²
2 m/s²
3 m/s²
16 m/s²
Answer:
-3 m/sExplanation:
how I don't know I just guessed but now yall knowHow do icebergs form in saltwater?
An iceberg is formed by the broken part of a large glacier that floats into the sea. The iceberg is composed of fresh water, just like the glaciers or ice in the North Pole. Since, freshwater is less thick than salty seawater, icebergs float in the water.
When chunks of ice break off the end of a glacier that is flowing into ocean, icebergs are created.
Since, seawater has a slightly higher density than ice, the iceberg floats with the majority of its mass below the surface. A cork, on the other hand, floats quite near to the water's surface due to its density, which is around 20% that of water.
As moving icebergs are dangerous, they have never been a main supply of drinking water. Freshwater is released by melting glaciers and icebergs, which also lowers the salinity of the surrounding sea.
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What magnitude of force, in newtons, must an 82.5-kg grouper exert to stay submerged in salt water (with density 1025 kg/m3) if its body density is 1015 kg/m3
The magnitude of force, must an 82.5-kg grouper exert to stay submerged in salt water is 8.12 N.
To find the magnitude of force that the grouper must exert to stay submerged, we can use the buoyancy force equation, which states that the buoyancy force is equal. The buoyancy force is equal to the weight of the fluid displaced, which is the density of the fluid multiplied by the volume of the fluid displaced and the gravitational acceleration. The volume of the fluid displaced is equal to the volume of the object and can be found using the equation of volume of an object. The weight of the object can be found by multiplying the mass of the object and the gravitational acceleration.
The net force on the object is the difference between the buoyancy force and the weight of the object.
= Fb
= V * (density of fluid - density of object) * g
= Fb
= (82.5 kg / (1015 kg/m3) ) * (1025 kg/m3 - 1015 kg/m3) * 9.8 m/s^2
= Fb
= 8.12 N
The magnitude of force that the grouper must exert to stay submerged is 8.12 N
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a large platform is initially at rest on a smooth surface. A dog on the platform starts running toward the east. The mass of the dog is one-half the mass of the platform. When the dog moves toward the east with a speed of v0, the platform moves toward the ____ with a speed _____.
Platform moves towards to west with a speed of v0/2 when the dog moves towards to east at a speed of v0, in accordance with the rule of conservation of momentum.
What is the straightforward meaning of speed?The speed at which an object's location changes in any direction. The distance travelled to the time needed to travel that distance is known as speed. Since speed only has a magnitude and no direction, it is a scalar quantity.
Is speed affected by acceleration?Acceleration is the method of changing a speed with which an object moves. If a substance's velocity does not change, it is not accelerating. Acceleration is a vector quantity.
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The film strip that emerges from the camera is usually a ______________. That is, its color and light values are the opposite of those in the original scene.
The film strip that emerges from the camera is usually a Negative. That is, its color and light values are the opposite of those in the original scene.
What controls how much light enters the camera?One of the three camera settings that affects exposure is the aperture. The shutter speed, aperture, and ISO settings are together referred as as the "exposure triangle." By adjusting the relative amount of light entering a camera lens, an aperture can change the exposure.
What part of the camera and eye controls how much light enters?A camera's shutter can close or open depending on how much light is required to expose the film at the rear of the device.
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an object moves 15 meters in 3 seconds. what is its velocity (in m/s)?
Important Formulas:
[tex]v=\dfrac{d}{t}[/tex]
velocity(measured in m/s) = distance(measured in meters) / time(measured in seconds)
__________________________________________________________
Given:
[tex]d=15m[/tex]
[tex]t=3s[/tex]
[tex]v=?[/tex]
__________________________________________________________
Finding velocity:
[tex]v=\dfrac{d}{t}[/tex]
[tex]v=\dfrac{15}{3}[/tex]
__________________________________________________________
[tex]\fbox{v = 5 m/s}[/tex]
How are displacements combined?
Two springs have spring constants of 10.0 N/cm and 15.0 N/cm. Which spring is more difficult to stretch
The spring with the higher spring constant (15.0 N/cm) will be more difficult to stretch than the spring with the lower spring constant (10.0 N/cm).
This is because the spring constant is directly related to the amount of force required to stretch the spring. Therefore, the higher the spring constant, the more force that is required to stretch the spring.
The spring constant is a measure of how difficult it is to stretch or compress a spring. It is determined by the stiffness of the spring material, its shape and size, and how much the spring is compressed or stretched.
The higher the spring constant, the more force is required to stretch or compress the spring. The lower the spring constant, the less force is required to stretch or compress the spring.
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Calculate the angle of incidence of light ray incident on surface
of a plastic slab of refractive index v3, if the angle of refraction
is 30°
Answer:
[tex]from \: snell {}^{.} s \: law : \\ n = \frac{ \sin(i) }{ \sin(r) } \\ \sqrt{3} = \frac{ \sin(i) }{ \sin(30 \degree) } \\ \sin(i) = \sqrt{3} \times \sin(30 \degree) \\ \sin(i) = 0.866 \\ i = { \sin}^{ -1 } (0.866) \\ i = 60 \degree[/tex]
A proton moves perpendicular to a uniform magnetic field B at 2.20 107 m/s and experiences an acceleration of 1.60 1013 m/s2 in the x direction when its velocity is in the z direction. Determine the magnitude and direction of the field.
The magnitude of the magnetic field is 7.27 x 10-6 T and its direction is perpendicular to the velocity of the proton.
The force experienced by a charged particle in a magnetic field is given by the equation F = q(v x B), where F is the force, q is the charge of the particle, v is the velocity of the particle, and B is the magnetic field.
Given the information provided in the question, we can set up the following equation:
1.60 1013 m/s2 = (q)(2.20 107 m/s) x B
To find the magnitude of the magnetic field, we can divide both sides of the equation by the velocity:
B = 7.27 x 10-6 T
To find the direction of the magnetic field, we know that the force on the proton is perpendicular to its velocity and the direction of the magnetic field. The direction of the magnetic field can be found using the right-hand rule which states that if you point your fingers in the direction of the velocity and then curl them in the direction of the force, your thumb will point in the direction of the magnetic field.
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600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters? (10 points)
a. 72 J
b. 100 J
c. 50 J
d. 600 J
Answer:
d. 600 J
Explanation:
You want to know the work done to lift a box using a lever with a mechanical advantage of 2, if the work required without the lever is 600 J.
LeverA lever trades force for distance. That is raising the box a distance of 6 m requires moving the lever arm a distance of 12 m, but only half the force is required. The product of force and distance is the same.
The total required work is unchanged: 600 J.
__
Additional comment
Actually, more work is required to lift the box using the lever. There is work applied to the box, and there is more work applied to moving the lever. (We have to assume a massless lever with no friction in these problems.)
Why can't we make parallax measurements for most of the stars in our galaxy?
a. Temperature
b. measuring its apparent brightness through two or more color filters and comparing these values
c. most stars are too far away to show a parallax shift
d. 100 times
C. Most stars are too far away to show a parallax shift.we make parallax measurements for most of the stars in our galaxy
What is galaxy?
Galaxy is a term used to describe a large system of stars, star clusters, interstellar gas, and dust bound together by gravity. Galaxies are often classified by their shape, size, and composition.
The Milky Way, our own galaxy, is a barred spiral galaxy, composed of hundreds of billions of stars and gas, bound together by gravity. Other types of galaxies include elliptical, irregular, and dwarf galaxies. Galaxies are often found clustered together in groups and superclusters, which are some of the largest structures in the universe.
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pls help me quickly ......
Answer:
the last one: weight force
can someone please help me with this i really need this right now thank u ❤️
Answer:
1.constant acceleration.
2.0 ms
3. 0 ms
Explanation:
1. (D) uniformly accelerated motion
2. (A) zero
3. (B) -10 m/s
4. (C) -9.8 m/s^2
5. (B) projectile motion
What environmental factors can influence genetic variations?
Some harmful environmental factors can change the nucleotide sequence of a gene. UV rays, for example, can harm DNA strands.
What elements influence genetic variation?Genetic variations arise during meiosis as a result of mutation and recombination. Chemical or biological mutagens frequently result in mutations. The genetic diversity of organisms is also altered by accidental mating.
What are five examples of environmental variations?The length at which you want to wear your hair. Scars – from your own unique accidents. The strength of your muscles depends on how much exercise you get. Piercings, whether you decide to have them or not. Mutations are the primary cause of the emergence of genetic variation.
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when there is a constant unbalanced force applied in the opposite direction as the motion what will happen to speed and acceleration
Answer:
speed will be constant and so no acceleration
Explanation:
the body will move toward the weaker force, but since the forces are constant there will be no acceleration.
10 points!
Which measuring tool should be used to measure the length of a marble track?
graduated cylinder
spring scale
metric ruler
stopwatch
Answer:
metric ruler
Explanation:
it counts legnth
How do you find the velocity of an object rolling down a ramp?
The object accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.
Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.
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A copper rod of length 0.77 m is lying on a frictionless table (see the drawing). Each end of the rod is attached to a fixed wire by an unstretched spring that has a spring constant of k = 76 N/m. A magnetic field with a strength of 0.14 T is oriented perpendicular to the surface of the table.
(a) What must be the direction of the current in the copper rod that causes the springs to stretch?
The current flows (left-to-right/right-to-left) in the copper rod.
(b) If the current is 14 A, by how much does each spring stretch?
________ m
Answer:
a) The direction of the current in the copper rod that causes the springs to stretch is left-to-right. This is because the magnetic field is oriented perpendicular to the surface of the table and the force exerted on the rod by the magnetic field is given by F = qVB, where F is the force, q is the charge of the particle, V is the velocity of the particle, and B is the strength of the magnetic field. Since the force is perpendicular to the velocity of the particle, the direction of the current that produces this force must be parallel to the magnetic field. In this case, the magnetic field is oriented perpendicular to the surface of the table, so the current must flow in the direction left-to-right to produce a force that stretches the springs.
b) To find by how much each spring stretches, you can use the formula F = kx, where F is the force exerted by the spring, k is the spring constant, and x is the distance the spring stretches. In this case, the force exerted by the spring is given by F = qVB, and the spring constant is k = 76 N/m. The charge of the particle is q = Ie, where I is the current and e is the charge of an electron. The velocity of the particle is V = L / t, where L is the length of the rod and t is the time it takes the particle to travel the length of the rod. Since the current is 14 A and the length of the rod is 0.77 m, the velocity of the particle is V = 0.77 m / (1 / 14 A) = 10.78 m/s. The strength of the magnetic field is 0.14 T, so the force exerted by the spring is F = (14 A)(1.60 x 10^-19 C)(10.78 m/s)(0.14 T) = 2.40 x 10^-17 N. Therefore, the distance each spring stretches is x = F / k = 2.40 x 10^-17 N / 76 N/m = 3.16 x 10^-19 meters.
The position-time equation of a particle (P) moving in the space reference
system Ox is:
x = 3t? +10t+4 [SI]
1) Specify the nature of motion of (P).
Deduce the values of the acceleration, initial velocity and initial position of
(P).
Write the expression of the velocity of (P) as a function of time. Calculate
its value at t=3s.
Calculate the displacement between t = 2s and t; = 4s.
Two cells each of EMF 1.5 v and an internal resistance of 2 ohms are connected in parallel. calculate the current flowing when the cells are connected to 1 ohm resistor
Answer:2.30
Explanation:
The tides are considered an example of shallow-water waves because the tidal bulges have a wavelength that is on the order of __________.
The tides are considered an example of shallow-water waves because the tidal bulges have a wavelength that is on the order of thousands of kilometers.
Which of the aforementioned tide-related claims is true?Complete Response.The tides are caused by the sun and moon's tremendous gravitational pulls on the surface of the planet, which is the right answer.
Which of the following is untrue regarding tides' fundamentals?Response and Justification:Tides are not primarily caused by the gravitational influence of the sun, as is commonly believed.In reality, the Moon's gravitational pull is what mostly causes tides.
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