Question

box of mass 2 kg travels at 3 m/s constant speed when it is being pushed horizontally on a rough surface by a 4 N force. What is the acceleration of the box when the force
increased to 6 N ?

Answer 1

Given,

Box of mass 2 kg travels at 3 m/s constant speed when it is being pushed horizontally on a rough surface by a 4 N force.

To find,

The acceleration of the box when the force increased to 6 N.

Solution,

We have to apply some basic physics fundamentals, to solve the above equation.

We have to know the relationship between force, mass, and velocity

Newton's second law states "that force is proportional to what is required for an object of constant mass to change its velocity".

From the above statement, we can derive that F= (m×a)

where, F=Force,m=mass,a=acceleration.

• Mass is the quantity of matter in a physical body.

• Velocity is the rate of momentum a body is moving.

• Force influence the change of motion.

So, now applying the equation, we are placing the values-

mass=2kg, force=6N, acceleration = ?

We know that F= (m×a), let acceleration be x-

⇒6=(2×x)

⇒6=2x

⇒$\frac {6} {2}$=x

⇒3=x.

Hence, the value of acceleration is 3 m/s when the force is increased to 6 N.