A body of mass 12kg is acted upon by a constant force on 12N for 6secs. Calculate the kinetic energy gained by the body.
Kinetic Energy gained = Work Done
Work Done = Force * Displacement
= Force * (1/2*a*t^2)
a = F/m
You have all the values, plus them in.
To calculate the kinetic energy gained by the body, we need to use the formula:
Kinetic Energy = (1/2) * mass * velocity^2
First, let's find the acceleration experienced by the body using Newton's second law, which states that force equals mass times acceleration:
Force = mass * acceleration
Rearranging the formula, we can find the acceleration:
acceleration = force / mass
Given that the force acting on the body is 12N and the mass of the body is 12kg, we can calculate the acceleration:
acceleration = 12N / 12kg
acceleration = 1 m/s^2
Next, we need to find the final velocity of the body. We can use the kinematic equation:
final velocity = initial velocity + (acceleration * time)
Since the body starts from rest, the initial velocity is zero:
final velocity = 0 + (1 m/s^2 * 6s)
final velocity = 6 m/s
Now that we have the mass of the body (12kg) and the final velocity (6 m/s), we can calculate the kinetic energy using the formula:
Kinetic Energy = (1/2) * mass * velocity^2
Kinetic Energy = (1/2) * 12kg * (6 m/s)^2
Kinetic Energy = 216 Joules
Therefore, the kinetic energy gained by the body is 216 Joules.