A body of mass m is moved from the ground to a height h. If force of gravity on mass of 1 kg is newton find the force needed to lift the body.
Answers
Answer
- Force = g N
Given
A body of mass m is moved from the ground to a height h. If force of gravity on mass of 1 kg is newton
To Find
The force needed to lift the body
Solution
Mass , m = 1 kg
Force , F = ? N
Acceleration due to gravity , a = g
Now , " Force is defined as product of mass and acceleration "
⇒ F = ma
⇒ F = mg
So , this force is equals to weight of the body.
⇒ F = (1) g
⇒ F = g N
So , Force needed to lift the body is equals to acceleration due to gravity .
CORRECT QUESTION:
A body of mass m is moved from ground to a height h. If force of gravity on mass of 1 kg is g newton. Find the force needed to lift the body?
ANSWER:
- Force on m kg = mg
GIVEN:
- A body of mass m is moved from ground to a height h.
- Force of gravity on mass of 1 kg is g newton.
EXPLANATION:
Force on 1 kg -------> g N
Force on m kg ------> x N
x = m × g / 1
x = mg N
Force on m kg body = mg N [ Here g means force due to the gravity ]
ADDITIONAL POINTS:
Force = ma [where m = mass and a = acceleration]
work done = F × d [ F = mg, h = h ]
work done = mg × h
work done = change in Potential energy
When h = 0 , work done = mg × 0 = 0
When it is lifted to height h, work done = mgh
Hence change in potential energy = U - U' = mgh - 0 = mgh
[ Here U = final potential energy and U' = initial potential energy ]