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Class 11 Physics Practice Test: Work, Energy and Power - Work Done by a Variable Force
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Variable force is the force whose direction and amplitude vary during the body's motion and is not constant. Examples are spring force, magnetic force, electrostatic force, etc.

Class 11 Physics Practice Test: Work, Energy and Power - Work Done by a Variable Force
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17 Questions

1. What is the SI unit of variable force?
2. What is the value of spring constant if force of 200 N is acting on it and the spring is compressed by 2m?
3. Which of the following is not a conservative force?
4. A particle of mass 0.1 kg is subjected to a force which varies with distance as shown in the figure. What is the work done?
5. Which of the following is not a variable force?
6. A particle is acted upon by a force in x direction which varies as shown in the graph. What is the work done on the particle?
7. The area under the force (F) versus displacement (x) graph gives work.
8. A person of mass 50 kg carrying a load of 20 kg walks up a staircase. The width and height of each step are 0.25 m and 0.2 m respectively. What is the work done by the man in walking 20 steps?(Assume g = 10m/s2)
9. A force of 600 N elongates a spring from its natural length of 18 cm to a length of 20 cm. What is the work done?
10. A force F = (5i – 3j +2k) N moves a particle from r1 = (2i + 7j + 4k) m to r2 = (5i + 2j + 8k) m. What is the work done by the force?
11. The length of a smooth inclined plane of 30-degree inclination is 5 m. The work done in moving a 10 kg mass from the bottom of the inclined plane to the top is _____ Joules. (Assume g = 10m/s2)
12. A spring is stretched by a length x, then the potential energy stored in it changes by 0.5*k*x2, where k is the spring constant.
13. A bucket filled with water weighing 20 kg is raised from a well of depth 20 m. If the linear density of the rope is 0.2 kg/m, the work done is _____ (Assume g = 10m/s2)
14. A force F = x + 1 N acts on a particle in x direction. What is the work done from x = 2m to 5 m?
15. A chain of length 4 m is kept on a table. 2 m of the chain hangs freely from the table’s edge. The mass of the whole chain is 8 kg. What is the work done to pull the whole chain onto the table? (Assume g = 10m/s2)
16. An object of mass 1kg is subjected to a variable force in x-direction. The force function is F = x2 N. What is the work done in moving the object from x = 2 to 5?
17. A rope has a uniform mass density of 0.4 kg/m. The rope is 10 m long and is lowered into a 10 m deep pit. The bottom part of the rope just touches the bottom of the pit. What is the work done to pull the rope out of the well completely? (Assume g = 10m/s2)