An object, initially at rest, is given a constant force such that it acquires a uniform acceleration of 0.20 m/s2. The mass of the object is 15 kg.
If the frictional force is neglected, then what is the work done by the force after five seconds?
We have,
Mass, m = 15 kg
Acceleration, a = 0.20 m/s2
Initial velocity, u = 0
Final velocity = v
Time, t = 5 s
Now,
v = u + at
=> v = 0 + (0.2)(5)
=> v = 1 m/s
Since, there is no lose of energy due to any frictional force. Work done on the body is equal to the gain in KE.
So, W = ½ mv2 – ½ mu2 = ½ (15)(12) = 7.5 J