How Forces Affect Motion
CBSE · Class 9 · Science
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A 0.1 kg bullet is fired from a 5 kg gun with a force of 2 N. What are the initial accelerations of the bullet and the gun, and which value is larger?
A block of mass 25 kg is pushed with 55 N on a horizontal floor, and friction is 50 N. Find the acceleration and displacement in 2 s if the block starts from rest.
A sports car of mass 1500 kg moves east. Its velocity changes from 0 m/s to 10 m/s in 5 s. What force acts on the car during this interval?
A sports car of mass 1500 kg moves east and slows from 10 m/s to 0 m/s in 5 s. What is the force during this interval?
Sample Questions
A system has two boxes of masses 3 kg and 5 kg on a frictionless surface. If an external force of 16 N pulls the system, what is the acceleration of the system?
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2 m/s^2
For connected objects, treat them as one system. Total mass = 3 + 5 = 8 kg. So a = F/(m1 + m2) = 16/8 = 2 m/s^2.
A system of two connected boxes has masses 4 kg and 6 kg. If the external force is 20 N and the surface is frictionless, what is the acceleration?
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2 m/s^2
The total mass is 4 + 6 = 10 kg. Using a = F/(m1 + m2), a = 20/10 = 2 m/s^2.
A 30 kg barbell is held steady. Using g = 9.8 m/s^2, what upward force must balance its weight?
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294 N upward
Weight is F = mg = 30 × 9.8 = 294 N downward. To keep it steady, an equal upward force of 294 N is needed.
A force of 1 N acts on an object of mass 0.5 kg. What acceleration does the object get, and what would the force be if the same object had acceleration 4 m/s^2?
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2 m/s^2, then 2 N
First, a = F/m = 1/0.5 = 2 m/s^2. Then for the same mass, F = ma = 0.5 × 4 = 2 N.
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- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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