Long question (20 marks)

22. A point like object with mass m = 1 kg starts from rest at point x0 = 10 m

and moves without any friction under a force F which depends on the

coordinate x as illustrated in figure below. The motion is confined to one

dimension along x.

a2. Sketch its kinetic energy as a function of x. [4]
a3. Sketch its velocity as well as its acceleration as a function of time t. [6]

Now consider a case when, in addition, a friction force of a magnitude of 1 N

is present for x ≥ 0.

b1. Sketch how the velocity depends on x in that case. [6]
b2. How many meters this point like object travelled during the time when

its position coordinate x was ≥ 0? [2]

Ayesha Khan , 10 Years ago

Grade 12th pass