find the 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
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Time = t
mass = m
u = 0
v = v
t = t1 (a)
we know
acceleration = v-u/t (u=0)
= v/t
s = ut + 1/2at2
s= 0×t1 + 1/2at2
a= v/t
s = vt2/t
s = vt
We know
Work done = force × displacement
= (m×a) × vt
= mv/t × vt
= mv2
mass = m
u = 0
v = v
t = t1 (a)
we know
acceleration = v-u/t (u=0)
= v/t
s = ut + 1/2at2
s= 0×t1 + 1/2at2
a= v/t
s = vt2/t
s = vt
We know
Work done = force × displacement
= (m×a) × vt
= mv/t × vt
= mv2
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