MCQ on Work Done by Variable Force: Previous trends reveal that NEET/JEE aspirants find Physics as the most challenging section amongst the other sections. But most of them fail to decipher the reason behind this. This particularly can be as the candidates taking up this examination are predominantly medical aspirants with their subject of interest being Biology. Also, sections like Physics are more on theories, laws, numerical as opposed to Biology which is more of fact-based, life sciences and comprising of substantial explanations.

In this post we are providing you MCQ on Work Done by Variable Force, which will be beneficial for you in upcoming NEET, AIIMS, JEE, WBJEE, Medical and Engineering Exams.

MCQ on Work Done by Variable Force

Q1. 100 J of energy is stored by a spring when it is stretched by 2 cm. If it is stretched further by 2 cm, the stored energy will be increased by ______.
a) 100 J
b) 200 J
c) 300 J
d) 400 J

Q2. What would be the maximum compression of the spring if a mass of 0.5 kg moving on a horizontal smooth surface with a speed of 1.5 m/s  collides with a nearly weightless spring of force constant k= 5 N/m ?
a) 0.5 m
b) 0.10 m
c) 0.15 m
d) 0.20 m

Q3. What will be the work done in stretching the  spring through 40 mm if 10 N force is required to stretch the spring through 1 mm ?
a) 8 J
b) 16 J
c) 24 J
d) 32 J

Q4. A spring has a spring constant k. When the spring is stretched through 1 cm, the potential energy will be U. What will be the potential energy if it is stretched by 4 cm?
a) 4 U
b) 8 U
c) 16 U
d) 32 U

Q5. Same force is used to stretch two springs of spring constants 1500 N/m and 3000 N/m respectively. What will be the ratio of potential energy?
a) 1:2
b) 2:1
c) 3:1
d) 1:3

Q6. The potential energy is 4 J for spring when it is stretched by 2 mm. If it is stretched by 10 mm, its potential energy is equal to
a) 10 J
b) 100 J
c) 40 J
d) 400 J

Q7. A spring with an initial stretch of  0.20 m has a force constant 10 N/m. When the stretch is changed to 0.25 m, the increase in potential energy is ______.
a) 0.1 joule
b) 0.2 joule
c) 0.3 joule
d) 0.5 joule

Q8. A spring having an extension of 5 cm has a force constant 800 N/m. The work done in extending it from 5 cm to 15 cm is ______.
a) 8 J
b) 16 J
c) 24 J
d) 32 J

Q9. There are two springs with the force constant as k1 and k2 (k1＞k2). They are stretched by the same force then ______.
a) In both springs equal work is done
b) No work is done in both the springs
c) More work is done in the first spring
d) In the second spring, more work is done

Q10. A body moving with a velocity 10 m/s and having a mass 0.1 kg hits a spring (fixed at the other end) of force constant 1000 N/m and comes to rest after compressing the spring. What will be the value of compression of the spring?
a) 0.1 m
b) 0.3 m
c) 0.5 m
d) 0.7 m

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By Team Learning Mantras