Question

Kwh
The F-x graph of a particle of mass 100g is shown in figure. If the particle begins to move from rest
at x = 0, its velocity at x = 12m is
10
Fin N)
12
8
x (in motre)​

Answer 1

Explanation:

superb Question. I think the strategy in solving this is to Involve :

Force = m x a

a = ( v-u)/t

V sqr - U sir = 2as

Answer 2

Given,

Mass=100g=0.1kg

u=0 m/s

To find,

Velocity at x=12m

Solution,

Work done by particle under application of an external force=∫F dx

=Area under the F vs x curve

= 1/2×(4+12)×10J

=80J

This work done goes into the kinetic energy of the particle.

Thus, 1/2mv²=80

⇒1/2×0.1×v²

⇒v=40m/s.

Hence, velocity at x=12m is 40 m/s.