A force of 40 N, when applied on an object, produces an acceleration of 8 m s-4. How Mucni
force is required to produce the same acceleration when another object of identical mass is
tied to that object?
(1) 40N (ii) 20N (iii) 80N (iv) 160 N
mbianol force of 1020 N
The moon attracts the earth
Answers
A force of 40 N, when applied on a object, produces an acceleration of 8 m/s².
The force required to produced the same acceleration when another object of identical mass tied to that object, is 80 N.
what is force ?
It is the action that tends to alter or maintain the motion of a body and also to distort the body. According to Newton's law of motion, Force is the product of mass and acceleration of the body. it is a vector quantity. it means it has not only magnitude but also direction.
initial force, F₁ = 40 N
acceleration of object, a = 8 m/s²
∵ F = ma
⇒ 40 = m × 8
⇒ m = 40/8 = 5 kg
∴ the mass of the object is 5 kg.
now the another identical object is tied with the object.
so the total mass of the system of objects, M = 2m = 2 × 5 = 10 kg
acceleration of the system of objects, a = 8 m/s² [ a/c to question ]
now the required force, F = Ma
= 10 kg × 8 m/s²
= 80 N
Therefore 80 N force is required to produce the same acceleration when another object of idential mass is tied to that object.