Newton's Second Law
A hockey puck of mass 0.16 kg resting on smooth ice is struck so that it gains a steady acceleration of 25 m/s^2. What is the magnitude of the net force applied to the puck?
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Solution
4 N
Newton's Second Law tells us that the net external force on a body equals the product of its mass and its acceleration, written as F=ma. On smooth ice the frictional resistance is negligible, so the striking force is essentially the entire net force responsible for the puck's acceleration. Substituting the given values, F=0.16×25=4 N. The value 2 N corresponds to an acceleration of only 12.5 m/s^2, half the stated figure, so it is incorrect. The value 6 N would require an acceleration of 37.5 m/s^2, which exceeds what is given. The value 8 N would correspond to doubling the true mass or acceleration and therefore cannot match the data. This is a direct application of the NCERT formulation of the Second Law for a single body on a frictionless surface. As a unit check, kilogram times metre per second squared yields the newton, and the modest 4 N magnitude is reasonable for a light puck on slippery ice.
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About This Question
- Subject
- physics
- Chapter
- laws of motion
- Topic
- newton's second law
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
4 N
Newton's Second Law tells us that the net external force on a body equals the product of its mass and its acceleration, written as F=ma. On smooth ice the frictional resistance is negligible, so the striking force is essentially the entire net force responsible for the puck's acceleration. Substituting the given values, F=0.16×25=4 N. The value 2 N corresponds to an acceleration of only 12.5 m/s^2, half the stated figure, so it is incorrect. The value 6 N would require an acceleration of 37.5 m/s^2, which exceeds what is given. The value 8 N would correspond to doubling the true mass or acceleration and therefore cannot match the data. This is a direct application of the NCERT formulation of the Second Law for a single body on a frictionless surface. As a unit check, kilogram times metre per second squared yields the newton, and the modest 4 N magnitude is reasonable for a light puck on slippery ice.
This easy difficulty physics question is from the chapter laws of motion, covering the topic of newton's second law. It appeared in the 2025 exam.
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