velocity varying with the distance travelled according to
15. A particle of mass m moves on a straight line with its
the equation v = avx, where a is a constant. Find the
total work done by all the forces during a displacement
= 0 to x = d.
from x
Answers
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1
Explanation:
v=α
x⟹ dt
dx
=α
x
⟹2
x
=αt
⟹x=
4
α
2
t
2
Work done by forces=∫
0
b
Fdx=
0
b
∫madx
=
0
b
∫m
dt
2
d
2
x
dx
=
0
b
∫m(
4
2α
2
)dx
=
2
1
mα
2
b
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