Question

Work done in time t on a body of mass
m which is accelerated from rest to a
speed v in time t1 as a function of time
t is given by:
​

Answer 1

Answer:

Explanation:

​

W = F × s  

and  

F = m × a  

so  

W = m × a × s  

"The body is accelerated from 0 to v in time t1"  

so  

v = 0 + a × t1  

a = v / t1

The distance traveled in a certain time t is W = m × (v / t1) × ( (v × t²) / (2 × t1) )  

Rearranging the equation,  

W = (m × v² × t²) / (2 × t1²)  

Or, W = ( m × v² / 2 ) × ( t / t1 )²

hope this helps you!!!