Answer:
<h2>30 J</h2>
Explanation:
The work done by an object can be found by using the formula
workdone = force × distance
From the question
force = 6 N
distance = 5 m
We have
workdone = 6 × 5 = 30
We have the final answer as
<h3>30 J</h3>
Hope this helps you
Since we are ignoring air resistance which is a non-conservative force, the potential energy will be completely converted into kinetic energy, resulting in a final kinetic energy of

.
Here is the missing information.
An exhausted bicyclist pedal somewhat erraticaly when exercising on a static bicycle. The angular velocity of the wheels takes the equation ω(t)=at − bsin(ct) for t≥ 0, where t represents time (measured in seconds), a = 0.500 rad/s2 , b = 0.250 rad/s and c = 2.00 rad/s .
Answer:
0.793 rad
Explanation:
From the given question:
The angular velocity of the wheel is expressed by the equation:

The angular velocity of the wheels takes the description of the equation ω(t)=at−bsin(ct)
SO;

dθ = at dt - (b sin ct) dt
Taking the integral of the above equation; we have:

![[\theta] ^{\theta}_{0} = a \bigg [\dfrac{t^2}{2} \bigg]^2_0 - \bigg[ -\dfrac{b}{c} \ cos \ ct \bigg] ^2_0](https://tex.z-dn.net/?f=%5B%5Ctheta%5D%20%5E%7B%5Ctheta%7D_%7B0%7D%20%3D%20a%20%5Cbigg%20%5B%5Cdfrac%7Bt%5E2%7D%7B2%7D%20%5Cbigg%5D%5E2_0%20-%20%5Cbigg%5B%20-%5Cdfrac%7Bb%7D%7Bc%7D%20%5C%20cos%20%5C%20ct%20%5Cbigg%5D%20%5E2_0)
where;
a = 0.500 rad/s2 ,
b = 0.250 rad/s and
c = 2.00 rad/s
![\theta = (0.500 \ rad/s^2 ) \bigg [\dfrac{(2s)^2}{2} \bigg] - \bigg[ -\dfrac{0.250 \ rad/s}{2.00 \ rad/s} \ cos \ (2.00 \ rad/s )( 2.00 \ s) \bigg] - \bigg [ \dfrac{0.250 \ rad/s}{2.00 \ rad/s}\bigg ] cos 0^0](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%280.500%20%5C%20rad%2Fs%5E2%20%29%20%5Cbigg%20%5B%5Cdfrac%7B%282s%29%5E2%7D%7B2%7D%20%5Cbigg%5D%20-%20%5Cbigg%5B%20-%5Cdfrac%7B0.250%20%5C%20rad%2Fs%7D%7B2.00%20%5C%20rad%2Fs%7D%20%5C%20cos%20%5C%20%282.00%20%5C%20rad%2Fs%20%29%28%202.00%20%5C%20s%29%20%5Cbigg%5D%20-%20%5Cbigg%20%5B%20%5Cdfrac%7B0.250%20%5C%20rad%2Fs%7D%7B2.00%20%5C%20rad%2Fs%7D%5Cbigg%20%5D%20cos%200%5E0)

Hence, the angular displacement after two seconds = 0.793 rad
Using the formula KE=1/2mv^2
a: The kinetic energy doubles.
b: The kinetic energy quadruples.
c: The kinetic energy is cut in half.
Hopefully it’s clear how the formula can show you this.