A force of 10 N acts on a body of mass 2 kg initially at rest. The momentum acquired by the body after 5 seconds is: MCQ with Answer and Explanation

A force of 10 N acts on a body of mass 2 kg initially at rest. The momentum acquired by the body after 5 seconds is:
A. 50 kg·m/s
B. 25 kg·m/s
C. 100 kg·m/s
D. 10 kg·m/s
Answer: Option A
Solution (By JKSSB Mock Tests)
Force = rate of change of momentum: F = Δp/Δt. Thus Δp = F × Δt = 10 N × 5 s = 50 kg·m/s. Since initial momentum was zero (body at rest), final momentum = 50 kg·m/s. Alternatively, acceleration a = F/m = 10/2 = 5 m/s², velocity after 5s: v = u + at = 0 + 5×5 = 25 m/s, momentum p = mv = 2×25 = 50 kg·m/s. Both methods confirm. Memory tip: Impulse (FΔt) equals change in momentum. This direct application of Newton's second law is essential for dynamics problems in competitive exams.

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Practice More Physics Questions

Question #1
A concave mirror forms a virtual, erect, and magnified image. Where is the object placed?
A. Between the pole (P) and the focus (F)
B. Between the center of curvature (C) and the focus (F)
C. Beyond the center of curvature (C)
D. At the focus (F)

Correct Answer: Option A


Explanation:
A concave mirror forms real and inverted images in most positions. The only exception is when the object is placed very close to the mirror, specifically between the pole (P) and the principal focus (F). In this position, the reflected rays diverge, forming a virtual, erect, and magnified image behind the mirror. This is why concave mirrors are used as shaving or makeup mirrors.

This question belongs to: Science Physics
Question #2
A car travels from point A to B with speed 40 km/h and returns from B to A with speed 60 km/h. The average speed for the entire journey is:
A. 48 km/h
B. 45 km/h
C. 50 km/h
D. 52 km/h

Correct Answer: Option A


Explanation:
Average speed = Total distance / Total time. Let distance AB = d km. Time for AB = d/40 h, time for BA = d/60 h. Total distance = 2d km. Total time = d/40 + d/60 = d(3+2)/120 = 5d/120 = d/24 h. Average speed = 2d / (d/24) = 48 km/h. Note: Average speed is not arithmetic mean of speeds (which would be 50 km/h) because time intervals differ. This harmonic mean concept is crucial for motion problems. Exam tip: For equal distances, average speed = 2v₁v₂/(v₁+v₂). Frequently tested in competitive exams.

This question belongs to: Science Physics
Question #3
The kinetic energy of a body is increased by 300%. The percentage increase in its momentum is:
A. 400%
B. 200%
C. 300%
D. 100%

Correct Answer: Option D


Explanation:
KE ∝ p² (since KE = p²/(2m)). If KE increases by 300%, new KE = 4× original KE. Thus p_new² / p_original² = 4 ⇒ p_new / p_original = 2 ⇒ momentum doubles, i.e., 100% increase. Memory tip: 'KE ∝ p²; so %Δp = ½ %ΔKE for small changes, but for large changes use ratio'. This proportional reasoning problem tests energy-momentum relationship, frequently appearing in competitive exams. Always derive from fundamental relations when percentages are large; linear approximations fail here.

This question belongs to: Science Physics