Question

A force of 100N acting on a body gives it a speed of 200ms-1 in 2 seconds. What is themass of the body?

a. 1 kg
b. 5 kg
C. 2 kg
d. 10 kg​

Answer 1

Using Newton's Second Law of Motion and the provided information, the mass of the body that is being accelerated by a force of 100N to reach a speed of 200m/s in 2 seconds is calculated to be 1 kg.

Step-by-step explanation:

To find the mass of the body being accelerated by a force, we can use Newton's Second Law of Motion, which states that force (F) equals mass (m) times acceleration (a).

First, let's calculate the acceleration using the given information. Acceleration is the change in velocity (Δv) divided by the time it takes for that change (t), which can be written as:

a = Δv / t

Using the numbers provided:

a = 200 m/s / 2 s = 100 m/s²

Now that we have the acceleration, we can rearrange Newton's Second Law to solve for mass:

m = F / a

Using the force provided:

m = 100 N / 100 m/s² = 1 kg

Therefore, the mass of the body is 1 kg.