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Long question (20 marks) 22. A point like object with mass m = 1 kg starts from rest at point x 0 = 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]

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]

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Grade:12th pass

3 Answers

Shobhit Varshney IIT Roorkee
askIITians Faculty 33 Points
9 years ago
Hi,

We know the force as a function of x using this graph under different x ranges.
Use this equation, calculate different parameters, ex- Kinetic energy = Work done = F * x

Thanks...........................................................................................................................
Ayesha Khan
35 Points
9 years ago
Can you please post the correct graphs so I can check my answers?
Ayesha Khan
35 Points
9 years ago
Can you please post the correct graphs so I can check my answers?

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