Answer:
[tex]17.89\ \text{m/s}[/tex]
Explanation:
Velocity is given by
[tex]v(t) = 16.02\hat{i}-7.96(1 + t)\hat{j} + 0.76t^3\hat{k}[/tex]
Initial velocity is asked so t = 0
[tex]v(0)=16.02\hat{i}-7.96(1+t)\hat{j}+0.76\times 0\hat{k}\\\Rightarrow v(0)=16.02\hat{i}-7.96\hat{j}[/tex]
Magnitude is given by
[tex]|v|=\sqrt{16.02^2+(-7.96)^2}\\\Rightarrow |v|=17.89\ \text{m/s}[/tex]
The initial velocity of the glider was [tex]17.89\ \text{m/s}[/tex].
Tessa uses a toy slingshot to launch a tennis ball across the park for her dog to fetch. For her first launch, she
uses 100 N of force. Her second launch uses 200 N of force, and her third launch uses 300 N. Which launch had
the greatest acceleration of the tennis ball?
Answer:
See the explanation below.
Explanation:
To solve this problem we must apply Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration and this force can be calculated by means of the following equation.
F = m*a
where:
F = force [N] (units of Newtons)
m = mass [kg]
a = acceleration [m/s²]
The mass of the tennis ball will always be the same therefore it will never change.
Now clearing a:
[tex]a=\frac{F}{m}[/tex]
If the mass of the ball remains the same:
[tex]a = \frac{100}{m} ; a = \frac{200}{m};a =\frac{300}{m}[/tex]
We see that for a force of 300 [N], the acceleration exerted on the ball must be greater. Therefore with the force of 300 [N] the greatest acceleration is achieved.
S A nonuniform electric field is given by the expression→E = ay i^ + bz j^ + cxk^where a, b , and c are constants. Determine the electric flux through a rectangular surface in the x y plane, extending from x=0 to x=w and from y=0 to y=h .
The electric flux is 2chω² where the k^ term was eliminated since k. k^ =0
The electric force per unit charge is referred to as the electric field. It is assumed that the field's direction corresponds to the force it would apply to a positive test charge. From a positive point charge, the electric field radiates outward, and from a negative point charge, it radiates in.
We are given an electric field in the general form
E→ =ay i^+bz j^+cx k^
In the xy plane z=0 so that the electric field reduces to
E→ =ay i^+cx k^
To obtain the flux, we integrate
ϕ E=∫ E→⋅d A→ =∫ (ay i^ +cx k^) ⋅k^
dAϕE=ch∫
x=0w
xdx=2chω²
where the k^ term was eliminated since k. k^ =0
Learn more about electric field here-
https://brainly.com/question/15800304
#SPJ4
A proton having an initial velvocity of 20.0i Mm/s enters a uniform magnetic field of magnitude 0.300 T with a direction perpendicular to the proton's velocity. It leaves the field-filled region with velocity -20.0j Mm/s. Determine(a) the direction of the magnetic field.
The the direction of magnetic field is perpendicular to the velocity of proton and is directed towards the + z axis.
We have a proton entering a uniform magnetic field which is in a direction perpendicular to the proton's velocity.
We have to determine the direction of magnetic field.
What is the magnitude of force on the charged particle moving in a uniform magnetic field?The magnitude of force on the charged particle moving in a uniform magnetic field is given by -
F = qvB sinθ
According to the question, we have -
Entering Velocity (v) = 20 i m/s.
Magnetic field intensity (B) = 0.3 T.
Leaving velocity (u) = - 20 j m/s.
Now -
F = q |v| |B| sinθ
F = 1.6 x [tex]10^{-19}[/tex] x 20 x 0.3 x sin(90)
F = 9.6 x [tex]10^{-19}[/tex] Newton.
Now, using the Fleming's left hand rule, the the direction of magnetic field is perpendicular to the velocity of proton and is directed towards the + z axis. The force is towards the '- y' axis. Therefore -
B = + 0.3 k
To solve more questions on Force on charged particle, visit the link below-
https://brainly.com/question/14597200
#SPJ4
In the year 2000, a company made $4.7 million in profit. For each consecutive year after that, their profit increased by 15%. How much would the company's profit be in the year 2004, to the nearest tenth of a million dollars?
Answer: $8.2 million.
Explanation:
If we have a quantity A, and we have an increase of x%, this can be written as:
A + (x%/100%)*A
Now, for this particular case we have:
In year 2000 (we can define this year as the year zero, y = 0) the initial value is $4.7 million.
The next year, y = 1, there is an increase of 15%, then we will have a profit of:
P = $4.7 million + (15%/100%)*$4.7 million = $4.7 million + 0.15*$4.7 million
P = $4.7 million*(1 + 0.15) = $4.7 million*(1.15)
in the next year, y = 2, the profit will be:
P = $4.7 million*(1.15) + (15%/100%)* $4.7 million*(1.15)
= $4.7 million*(1.15) + 0.15* $4.7 million*(1.15)
= $4.7 million*(1.15)^2
We already can see the pattern, the profit in the year y will be:
P(y) = $4.7 million*(1.15)^y
In particular, in the year 2004 we have y = 4, then the profit that year will be:
P(4) = $4.7 million*(1.15)^4 = $8.2 million.
Which component of a galaxy consists of tiny particles that look smoky or cloudy and
can be found in the space between stars?
Cosmic Dust.
Why? When stars explode, or die, they releases dust and gas.
To solve this we must be knowing each and every concept related to galaxy. Therefore, cosmic dust of a galaxy consists of tiny particles that look smoky or cloudy and can be found in the space between stars.
What is galaxy?Galaxies are collections of stars as well as other celestial objects that are gravitationally bound. The cosmos contains and over 100 billion galaxies, each of which has stunning formations seen in photographs captured by telescopes of the far sky.
According to Samuel, a galaxy's shape is the result of continual interactions between its many components. The majority of the mass is provided by the dark matter, which uses gravity to hold everything together. Cosmic dust of a galaxy consists of tiny particles that look smoky or cloudy and can be found in the space between stars.
Therefore, cosmic dust of a galaxy consists of tiny particles that look smoky or cloudy and can be found in the space between stars.
To know more about galaxy, here:
https://brainly.com/question/2516215
#SPJ5
Long ding dong what it do?
Answer:
nun wbu
Explanation:
Answer:
long very very
Question 10 While looking in the yard, Jill noticed that the areas directly under the trees had less grass than the other areas in the yard. Which of the following is the BEST explanation for this observation? A The trees are blocking the sunlight. B The grass is receiving too much fertilizer. 2 C The areas under the trees are too cool for grass to grow. D The areas under the trees are receiving less water.
Answer:
The trees are blocking the sunlight.
Explanation:
B is obviously not the answer because fertilizer wouldn't have that effect. For C, shade doesn't change the temperature that much that it would inhibit plant growth. For D, even if the tree blocks the water, the surrounding ground will still be wet and therefore the grass should still have a sufficient amount of water to grow. Sunlight can't be gotten from somewhere else, unlike water, so this would inhibit plant growth.
What is the force of gravity acting on a 2000 kg spacecraft when it is about the Earth at a in orbit distance of 8.375 x 106 m?
Answer:
W = 13.44 KN
Explanation:
First, we need to find the value of acceleration due to gravity at the specified height:
[tex]g' = g(1-2\frac{h}{R})[/tex]
where,
g' = value of acceleration due to gravity at given height = ?
g = value of acceleration due to gravity at surface of earth = 9.81 m/s²
h = height of space craft = 8.375 x 10⁶ m - 6.37 x 10⁶ m = 2.005 x 10⁶ m
R = Radius of Earth = 6.37 x 10⁶ m
Therefore,
[tex]g' = (9.81\ m/s^2)(1-2\frac{2.005\ x\ 10^6\ m}{6.37\ x\ 10^6\ m})\\\\g' = (9.81\ m/s^2)(1 - 0.315)\\g' = 6.72\ m/s^2[/tex]
Now, we can find the weight or force of gravity on space craft:
[tex]W = mg'[/tex]
where,
W = Force of gravity on space craft = ?
m = mass of space craft = 2000 kg
Therefore,
[tex]W = (2000 kg)(6.72\ m/s^2)[/tex]
W = 13.44 KN
water flows through a 4.0-cm-diameter horizontal pipe at a speed of 1.3 m/s. the pipe then narrows down to a diameter of 2.0 cm.
The pipe's large and narrow sections have different water pressures of "12.78 KPa."
The ideas of Bernoulli's Theorem and the continuity equation are involved in this query. Finding the pressure difference requires substituting the appropriate values.
What is Bernoulli's theorem explain?
Therefore, Bernoulli's theorem states that a drop in fluid pressure is connected with an increase in fluid velocity if the fluid flows horizontally so that there is no change in gravitational potential energy.
Bernoulli's theorem states that as long as an ideal liquid is incompressible, viscous, and flows in a streamline, the total amount of energy it possesses at any given place remains constant. Kinetic, potential, and pressure energy all add up to a constant. P+21pv2+pgh=Constant.
learn more about Bernoulli's Theorem refer
https://brainly.com/question/15396422
#SPJ4
How fast would a girl who rides her bike at 18 m/s for 15 s. Have been traveling if she had covered the same distance in 10 s?
Answer:
From first equation of motion:
[tex]{ \rm{v = u + at}} \\ { \rm{18 = 0 + (a \times 15)}} \\ { \rm{18 = 15a}} \\ \\ { \boxed{ \rm{ \: a = \frac{18}{15} \: m {s}^{ - 2} }}}[/tex]
For the second case:
[tex]{ \rm{v = u + at}} \\ { \rm{v = 0 + ( \frac{18}{15} \times 10)}} \\ \\ { \rm{v = 12 \: {ms}^{ - 1} }}[/tex]
7. A student is rotating an object on a rope that is 4.5m long. If we increase the length
of the rope so that the student rotates in uniform circular motion with the mass
rotating 9.0 m away from the center of the rotation (2x farther), what will be the
effect on the tangential velocity for the athlete if we keep the time for 1 revolution
the same?
It will be 16 times greater
0
O
It will be 2 times greater
0
о
It will be 4 times greater
0
It will be the same
CLEAR ALL
7 08 09 10 0 11
NEXT >
REVIEW & SUBMIT
The tangential velocity is proportional to the length of the rope hence when the length of the rope is doubled, the tangential velocity becomes two times greater.
We know that the tangential velocity of an object moving along a circular path depends on its radius and it's angular velocity.
In this case, we have been told that the motion of the object is uniform meaning that the angular velocity is held constant and the length of the rope which is the radius was doubled.
Since the tangential velocity is directly proportional to the length of the rope, the tangential velocity will be two times greater when the length of the rope is doubled.
Learn more: https://brainly.com/question/14396802
a ping-pong ball is held submerged in a bucket of water by a string attached to the bucket's bottom. part a salt is now added to the water in the bucket, increasing the density of the liquid. what happens to the tension in the string ?
The tension force in the string will increase because the difference between the densities became increased.
What is the free body diagram?Free-body diagrams are utilized to display the relative direction and strength of all forces that are being applied to an item in a certain scenario. A unique illustration of the geometric diagrams that were covered in a previous lesson is the free-body diagram. We will make use of these graphics throughout the entire study of physics.
A thread fastened to the bucket's base is holding a ping-pong ball immersed in water. The water in the bucket is now supplemented with salt, making the liquid denser.
Before adding the salt let T be the tension in the string.
Due to the growing disparity in densities, the force applied to the rope will increase.
More about the free body diagram link is given below.
brainly.com/question/24087893
#SPJ4
Two pulses move in opposite directions on a string and are identical in shape except that one has positive displacements of the elements of the string and the other has negative displacements. At the moment the two pulses completely overlap on the string, what happens? (a) The energy associated with the pulses has disappeared. (b) The string is not moving. (c) The string forms a straight line. (d) The pulses have vanished and will not reappear.
(c) When the two pulses completely overlap on the string forms a straight line.
A single disturbance that travels via a transmission medium is referred to as a pulse. This medium might be formed of stuff or a vacuum, and it might be endlessly large or finite in size.
Consider two pulses that are identical in shape and proceed in opposite directions along a string, with the exception that one has positive displacements of the string's elements while the other has negative displacements.
On the string, the two pulses blend together completely.
The pulses completely balance one another out in terms of removing string elements from equilibrium, yet the string still moves. Shortly after the string is once again shifted, the pulses will have passed each other.
The correct option is (c)
Learn more about pulse here:
https://brainly.com/question/14885673
#SPJ4
A wire carrying a current I is bent into the shape of an equilateral triangle of side L. (a) Find the magnitude of the magnetic field at the center of the triangle.
The magnetic field at the center of the triangle is [tex]\frac{4.50 \mu_{0} I}{\pi L}[/tex].
An equilateral triangle with side L is formed by the bend of a wire carrying a current I.
The magnetic field created by a straight wire is given as:
[tex]B = \frac{ \mu_{0} I}{2 \pi a}[/tex]
The cosines of the complementary angles are identical to the sines of the angles that appear in that equation.
The magnetic field from a distance "a" from the wire,
We obtain:
[tex]tan{~}30^{\circ} = \frac{a}{L/2}\\a = 0.2887L[/tex]
Therefore, the magnetic field at P which is the center of the triangle will be:
[tex]B = \frac{\mu_{0} I}{4 \pi a}(cos{~}\theta_{1} - cos{~}\theta_{2})[/tex]
[tex]B = \frac{\mu_{0} I}{4 \pi \times 0.2887L}(cos{~}30^{\circ} - cos{~}150^{\circ})[/tex]
[tex]B = \frac{\mu_{0} I \times 1.732}{\pi \times L}[/tex]
[tex]B = \frac{1.50 \mu_{0} I}{ \pi L}[/tex]
Every side produces the same amount of field in the same direction, which in the illustration is perpendicular to the paper.
Therefore, the total field is:
[tex]\frac{1.50 \mu_{0} I}{ \pi L} = \frac{4.50 \mu_{0} I}{ \pi L}[/tex]
Learn more about current here:
brainly.com/question/1100341
#SPJ4
if your guitar pick is producing a harsh sound, you should use your fingernail instead relax your wrist, arm, and shoulder make sure your wrist and arm are at a ninety degree angle press the pick more firmly onto the strings
If your guitar pick is producing a harsh sound, you should make sure your wrist and arm are at a ninety degree angle.
Making of harsh sounds due to the pick from a guitar is seen often during guitar practices from beginners. There are numerous reasons for this. One of the reasons that can be considered as the most often mistake is the way a guitarist holds the pick. In order to avoid the sound produced by the pick, make sure that your wrist and arm are in a ninety degree angle.
This will provide a comfortable position to use the picks. You should not hold the pick firmly either. Try to hold the pick gently. Remember lesser the pick gets in contact with the string, lesser the sound produced. Also try to use a proper pick for guitar.
Learn more about guitar picks at https://brainly.com/question/9373628
#SPJ4
Hi im really confused:
How much energy would be needed to raise the temperature of the air in a room by 5.0°C if the room measures 4.0m x 4.0m x 3.0m? (Density of air = 1.0kg/m³)
Assume that the room has no furniture and that the walls gain no thermal energy.
The energy required to raise the temperature of the air in a room by 5.0°C is 336 kJ
U = [tex]c_{p}[/tex] m ΔT
U = Energy
[tex]c_{p}[/tex] = Specific heat
m = Mass
ΔT = Change in temperature
ρ = Density
V = Volume
ρ = 1000 g / m³ (Dry air )
= 1 J / g K
ΔT = 5 °C
V = 4 * 4 * 3
V = 48 m³
m = ρ V
m = 1000 * 48
m = 48000 g
U = 1 * 48000 * 7
U = 336000 J
U = 336 kJ
Therefore, the energy required to raise the temperature of the air in a room by 5.0°C is 336 kJ
To know more about energy required to raise temperature
brainly.com/question/12372041
#SPJ1
PLEASE HELP MEEE!!!
A car traveling on a straight road at 10 meters per second accelerates uniformly to a speed of 21.0 meters per second in 12.0 seconds. The total distance traveled by the car in this 12.0-second time interval is?
Answer:
185.3m
Explanation:
Given parameters:
Initial velocity = 10m/s
Final velocity = 21m/s
Time = 12s
Unknown:
Total distance traveled by the car = ?
Solution:
To solve this problem, we use that appropriate motion equation:
v² = u² + 2as
v is the final velocity
u is the initial velocity
a is the acceleration
s is the unknown distance
t is the time taken;
acceleration = [tex]\frac{v - u}{t}[/tex]
a = [tex]\frac{21 - 10}{12}[/tex] = 0.92m/s²
now;
v² = u² + 2as
21² = 10² + 2(0.92)(s)
441 = 100 + 1.84s
441 - 100 = 1.84s
s = 185.3m
Plucking on a tight metal wire causes it to vibrate. What type of energy would that produce?
A. Light
B. Chemical
C. Sound
D. Thermal
Question 2: A burning candle exhibits what types of energy?
A Light and Thermal Energy
B Light Energy only
C Sound and Light Energy
DTheraml Energy only
A certain superconducting magnet in the form of a solenoid of length 0.500m can generate a magnetic field of 9.00T in its core when its coils carry a current of 75.0A . Find the number of turns in the solenoid.
The number of turns in the solenoid is [tex]4.78\times 10^4 \ turns[/tex].
Solenoids are essentially coils of cord. These generate a magnetic subject which strives a pressure over a steel element.A solenoid is a fundamental time period for a coil of cord that we use as an electromagnet.We additionally consult with the tool which could convert electric power into mechanical power as a solenoid.Actually it generates a magnetic subject for developing linear movement from the electrical cutting-edge. With using a magnetic subject.Magnetic field at the centre of a solenoid of length 'L' having 'N' number of turns with a current 'I' is given by [tex]B=\frac{u_0NI}{L}[/tex] ...(1) where [tex]u_0[/tex] is the permittivity of free space whose value is [tex]4\pi \times10^{-7}Tm/A[/tex] .It is given that superconducting magnet in the form of a solenoid of length 0.500m can generate a magnetic field of 9.00T in its core when its coils carry a current of 75.0A .
Putting above values in equation (1) , we get
[tex]9.00=\frac{4\pi \times10^{-7}\times N \times75.0}{0.500} \\\\N=\frac{9.00\times0.500}{4\pi \times10^{-7}\times75.0} \\\\N=4.78\times10^4 \ turns[/tex]
Learn about solenoid more here :
brainly.com/question/15218721
#SPJ4
A 0.5-kg ball accelerated at 50 m/s 2 . What force was applied?
Answer:
25N
Explanation:
soln:
given,
mass(m)=0.5kg
acceleration(a)=50m/s^2
force(F)=?
we know,
F=m*a
or,F=0.5*50
•°•F=25N
What does resistance refer to in a circuit?
Answer:
Resistance is a measure of the opposite to current flow in an electrical circuit. Resistance is measured in ohms.
Hope this helps
Science: PLEASE HELP DUE IN 5 minutes!
Answer:
It is the process in which animals eat each other in the food chain. From producers (like grass) to the top of the food chain (which depends on the climate and habitat)
Explanation:
a crude approximation of voice production is to consider the breathing passages and mouth to be a resonating tube closed at one end. what is the fundamental frequency ????1 if the tube is 0.240 m long, by taking air temperature to be 37.0∘c? ????1
The fundamental frequency of the tube is 0.240 m long, by taking air temperature to be [tex]37^o[/tex]C is 367.42 Hz.
A standing wave is basically a superposition of two waves propagating opposite to each other having equal amplitude. This is the propagation in a tube.
The fundamental frequency in the tube is given by
[tex]f=\frac{v_T}{4L}[/tex]
where, [tex]v_T=v\sqrt{\frac{T}{273} }[/tex]
Since, T=37+273 K = 310 K
v = 331 m/s
[tex]\therefore v_T=331\sqrt{\frac{310}{273} } = 352.72 \ m/s[/tex]
Using this, we get:
[tex]f=\frac{352.72}{4(0.240)} \\f=367.42 \ Hz[/tex]
Hence, the fundamental frequency is 367.42 Hz.
To learn more about Attention here:
https://brainly.com/question/14673613
#SPJ4
PLEASE HELP ME
Which modes of heat transfer require a medium? Which does not? Explain why a medium is/is not
needed for each response.
Answer:
Conduction and convection requires Modes of transfer of heat ! Radiation doesn't require any medium !!
In terms of heat transfer, radiation is the emission of thermal energy in the form of infrared waves. ... Since heat is carried by electromagnetic waves, it does not need a physical medium to transfer it. Instead it radiates through space - this is how the Earth is heated by the Sun despite space being a vacuum
to know more about conduction and convection you can take the help of internet search
a sound has a frequency of 230 hz. what is the velocity of this sound if it has a wavelength of 46 cm?
Answer:
V=f×λ
Where,
V is the velocity of the wave measure using m/s.
f is the frequency of the wave measured using Hz.
λ is the wavelength of the wave measured using m.
transform 46 cm in m = 0.46m and there u have it
Explanation:
Nuclear fusion requires high temperatures and pressures in order to bring the nuclei close to each other.
This is because all nuclei have a __________ charge. What word completes the sentence?
Answer:
The answer is positive.
Explanation:
In a middle of an atom, nucleus, contain neutrons (neutral charge) and protons (positive charge) so it will become positively charge nucleus.
What is the relationship between magnetism and the movement of electrical charges in generators ( the device).
Answer:
Electricity and magnetism are two related phenomena produced by the electromagnetic force. Together, they form electromagnetism. A moving electric charge generates a magnetic field. A magnetic field induces electric charge movement, producing an electric current.
Explanation:
What does this tell you about the direction and magnitude of the acceleration acting on the cannonball throughout its duration of flight?
Answer:
Direction remains the same but velocity changes.
Explanation:
This tell us about the direction and magnitude of the acceleration acting on the cannonball throughout its duration of flight that its direction remains the same but its magnitude of the acceleration is continuously changing. The cannonball moves in the direction in which the cannon was fired while the velocity is highest after the fire but decreases when goes higher and when it comes back to the ground so its velocity increases against so we can say that both positive and negative acceleration occurs. Positive acceleration means increase in the magnitude of velocity whereas negative acceleration means decrease in velocity.
I’ll give brainliest if it’s correct ;-;z
Someone help!!!
3 different earthquakes that were measured with broadband seismographs, 3 earthquakes long period, and 3 earthquakes measured with short period instruments.
Explanation:
what is the question? could you pls provide it
Look at the picture
Answer:
Your answer is d
Explanation: