Mechanics Study Materials for Competitive Exam Prep

Mechanics

Q. Which of the following is true about the rolling motion of a wheel?

Solution

The relationship between linear velocity (v) and angular velocity (ω) is given by v = ωr, which can be rearranged to ω = v/r.

Correct Answer: C — The angular velocity is equal to the linear velocity divided by the radius.

Q. Which of the following statements about rotational motion is true?

Solution

Torque is indeed the rotational equivalent of force, making this statement true.

Correct Answer: A — Torque is the rotational equivalent of force

Q. Which of the following statements is true according to Newton's first law of motion?

A. An object in motion will stay in motion unless acted upon by a net external force.
B. Force equals mass times acceleration.
C. For every action, there is an equal and opposite reaction.
D. Energy cannot be created or destroyed.

Solution

Newton's first law states that an object will remain at rest or in uniform motion unless acted upon by a net external force.

Correct Answer: A — An object in motion will stay in motion unless acted upon by a net external force.

Q. Which of the following statements is true according to Newton's first law?

Solution

Newton's first law states that an object at rest stays at rest and an object in motion stays in motion unless acted upon by a net force.

Correct Answer: A — An object at rest stays at rest unless acted upon by a net force.

Q. Which of the following statements is true according to Newton's third law?

Solution

Newton's third law states that for every action, there is an equal and opposite reaction.

Correct Answer: A — For every action, there is an equal and opposite reaction.

Q. Which of the following statements is true regarding the conservation of momentum in a rigid body system?

Solution

Momentum is conserved in isolated systems, regardless of the type of collision.

Correct Answer: D — Momentum is conserved only in isolated systems

Q. Which phenomenon explains the bending of light when it passes through a prism?

Solution

Refraction is the phenomenon that explains the bending of light as it passes through different media, such as a prism.

Correct Answer: B — Refraction

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