Hi there!
We can use the following equation to solve for displacement:
vf² = vi² + 2ad, where:
vf = final velocity
vi = initial velocity
a = acceleration
d = displacement
Since the car will come to rest, vf = 0, so:
0 = vi² + 2ad
Plug in the given values:
0 = 25² + 2(-5)d (Breaking is a negative acceleration in this instance)
Solve:
0 = 25² - 10d
10d = 625
d = 62.5m
Subtract from the total distance from the car to the tree:
65 - 62.5 = 2.5m
Answer:
Power output = 
Explanation:
Given:
Mass of the elevator is, 
Height to which it is raised is, 
Acceleration due to gravity is, 
Time taken by the motor to raise the elevator is, 
Now, work done on the elevator by the motor is equal to the increase in the gravitational potential energy of the elevator.
Increase in gravitational potential energy is given as:

Therefore, work done by motor is, 
Now, we know that, power is work done in unit time. So, power output is given as:
![Power=\frac{W}{t}\\\\Power=\frac{10\times 10^4\ J}{5.0\ s}\\\\Power=2\times 10^4\ J/s\\\\Power=2\times 10^4\ W..........[1 W = 1\ J/s]](https://tex.z-dn.net/?f=Power%3D%5Cfrac%7BW%7D%7Bt%7D%5C%5C%5C%5CPower%3D%5Cfrac%7B10%5Ctimes%2010%5E4%5C%20J%7D%7B5.0%5C%20s%7D%5C%5C%5C%5CPower%3D2%5Ctimes%2010%5E4%5C%20J%2Fs%5C%5C%5C%5CPower%3D2%5Ctimes%2010%5E4%5C%20W..........%5B1%20W%20%3D%201%5C%20J%2Fs%5D)
Therefore, the power output of the first motor is 
Answer:
a) For P: 
For Q: 
b) For P:

for Q:

c) As the distance from the axis increases then speed increases too.
Explanation:
a) Assuming constant angular acceleration we can find the angular speed of the wheel dividing the angular displacement θ between time of rotation:

One rotation is 360 degrees or 2π radians, so θ=2π

Angular acceleration is at every point on the wheel, but speed (tangential speed) is different and depends on the position (R) respect the rotation axis, the equation that relates angular speed and speed is:

for P:

for Q:

b) Centripetal acceleration is:

for P:

for Q:

c) As seen on a) speed and distance from axis is
because ω is constant the if R increases then v increases too.
Answer:
Time = 0.58 seconds
Explanation:
Given the following data;
Initial momentum = 3 kgm/s
Final momentum = 10 kgm/s
Force = 12 N
To find the time required for the change in momentum;
First of all, we would determine the change in momentum.


Change in momentum = 7 kgm/s
Now, we can find the time required;
Note: the impulse of an object is equal to the change in momentum experienced by the object.
Mathematically, impulse (change in momentum) is given by the formula;

Making "time" the subject of formula, we have;

Substituting into the formula, we have;

Time = 0.58 seconds
<span>Δ</span>E = q + w
q = heat (quantity of)
q and w can be positive or negative depending on if work/heat is being absorbed/done on the system or released/done by the system