a force applied on a body of mass 5 kg produces an acceleration of 2 ms-2 and the body covers a distance of 100m in the direction of the applied force . calculate the work done by the force
Answers
Given :
Mass of the body = 5kg
Acceleration = 2m/s²
Distance covered = 100m
To find :
The work done by the force
Solution :
We know that work done is product of froce and distance.
So, firstly let's find force applied on the body
Using Newton's second law of motion that is The rate of change of momentum of a body is directly proportional to the applied force and takes place in the direction in which force acts.
F = ma
here, F denotes force, m denotes mass and a denotes acceleration.
by substituting all the given values in the formula,
➝ F = ma
➝ F = (5)(2)
➝ F = 10 N
Now, using work done formula .i.e.,
W = F × d
where, F denotes force and d denotes distance covered
by substituting the value in the formula,
➝ W = F × d
➝ W = 10 × 100
➝ W = 1000 J
Thus, work done by the force is 1000 Joules.
Remember !
SI unit of force is Newton
SI unit of work done is joules
Answer:
Given :
Mass of the body = 5kg
Acceleration = 2m/s²
Distance covered = 100m
To find :
The work done by the force
Solution :
We know that work done is a product of force and distance.
So, firstly let's find force applied on the body
Using Newton's second law of motion that is The rate of change of momentum of a body is directly proportional to the applied force and takes place in the direction in which force acts.
F = ma
here, F denotes force, m denotes mass and a denotes acceleration.
by substituting all the given values in the formula,
➝ F = ma
➝ F = (5)(2)
➝ F = 10 N
Now, using work done formula .i.e.,
W = F × d
where, F denotes force and d denotes distance covered
by substituting the value in the formula,
➝ W = F × d
➝ W = 10 × 100
➝ W = 1000 J
Thus, work done by the force is 1000 Joules.
Remember !
SI unit of force is Newton
SI unit of work done is joules
Explanation: