Calculation of Accelerating Force

To calculate the magnitude of accelerating force, we can use the formula:

F = m x a

where F is the force applied, m is the mass of the body, and a is the acceleration.

Given Data:
Mass of the body, m = 500g = 0.5 kg
Acceleration, a = 2 m/s²

Calculation:
F = m x a
F = 0.5 kg x 2 m/s²
F = 1 N

Therefore, the magnitude of the accelerating force is 1 Newton.

Explanation:

The formula F = m x a is derived from Newton's second law of motion, which states that the force applied to an object is directly proportional to its mass and acceleration. Acceleration is the rate at which the velocity of an object changes over time. The SI unit of force is Newton (N), which is defined as the force required to accelerate a mass of 1 kg at a rate of 1 m/s².

In this question, we are given the mass of the body and the acceleration applied to it. By using the formula F = m x a, we can calculate the magnitude of the force applied. The mass of the body is given in grams, so we need to convert it into kilograms by dividing it by 1000. Once we have converted the mass into kilograms, we can simply multiply it with the acceleration to get the force applied.

Therefore, the magnitude of the accelerating force is 1 Newton. This means that a force of 1 Newton is required to accelerate a body of mass 0.5 kg at a rate of 2 m/s².

M=500g=0.5kg
a=2m/s^2
F=ma (from Newton's 2nd law of motion)
F=0.5×2
F=1N
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