CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

A body of mass 2kg is at rest. What should be the magnitude of force which will make the body move with a speed of 30m/s at the end of 1s?


Open in App
Solution

Step1: Given data

The mass of the body is 2kg.

The body was at rest, initialvelocity,u=0m/s

The body moves with a speed of 30m/s at the end of 1s i.e., finalvelocity(v)=30m/sandtime(t)=1sec

Step2: Formula used

According to Newton’s second law of motion, the magnitude of the applied force on a body is equal to the product of its mass and acceleration.

F=m×a[whereF=force,m=mass,a=acceleration]

Step3: Calculating force

We say that a body accelerates when an imbalanced force is applied to it.
The rate of change in velocity of a body with respect to time is known as acceleration.

a=(v-u)t[wherea=acceleration,v=finalvelocity,u=intialvelocity,t=1sec]a=(30-0)1a=30m/s2

Therefore a=30m/s2

Substituting the value of mass and acceleration in the formula

F=m×aF=2×30F=60N
Hence, the magnitude of the force that will make the body move is 60N.


flag
Suggest Corrections
thumbs-up
4
BNAT
mid-banner-image