If F₁ force is required to accelerate an object of 5 kg mass at 10 m s^-2 and F₂ force to accelerate an object of 10 kg mass at 12 m s^-2 , then which of the following statements is true?

Question

Question

This question was previously asked in

RRB Technician Grade III Official Paper (Held On: 29 Dec, 2024 Shift 1)

Answer 1

The correct answer is 3) F2 > F1.

Key Points

Force (F) is calculated using Newton's Second Law of Motion, which states that F = m × a, where m is mass and a is acceleration.
For F1: The force needed to accelerate a 5 kg object at 10 m/s² is calculated as F1 = 5 kg × 10 m/s² = 50 N.
For F2: The force needed to accelerate a 10 kg object at 12 m/s² is calculated as F2 = 10 kg × 12 m/s² = 120 N.
Comparing F1 and F2: 50 N < 120 N, hence F2 > F1.

Additional Information

Newton's Second Law of Motion: States that the force acting on an object is equal to the mass of that object multiplied by its acceleration (F = m × a).
SI Unit of Force: The SI unit of force is the Newton (N), which is defined as the force needed to accelerate a 1 kg mass by 1 m/s².
Mass: Mass is a measure of the amount of matter in an object and is usually measured in kilograms (kg).
Acceleration: Acceleration is the rate of change of velocity of an object and is measured in meters per second squared (m/s²).
Application: Understanding the relationship between force, mass, and acceleration is crucial in fields such as engineering, physics, and various applied sciences.