Question

If a force of 26 N is exerted on two balls, one with a mass of 0.52 kg and the other with a mass of 0.78 kg, which ball will have the greater acceleration?

Answer 1

Answer:

the first ball whos mass is 0.52 Kg will have greater acceleration

Explanation:

As we know that

F=ma

a=F/m

As a inversaly proportional to the mass m so as mass is less acceleration will be greater and vice versa

Answer 2

Given,

Magnitude of force = 26N

Mass of first ball = 0.52 kg

Mass of second ball = 0.78 kg

To find,

The ball with the greater acceleration.

Solution,

We can simply solve this numerical problem by using the following process.

Here, we have to use the mathematical relationship between force,mass and acceleration. Which is -

Force = Mass × Acceleration

In the case of first ball :

26 = 0.52 × Acceleration

Acceleration = 26/0.52 = 50 m/s²

In the case of second ball :

26 = 0.78 × Acceleration

Acceleration = 26/0.78 = 33.33 m/s²

Thus, ball with 0.52kg (ball with lesser mass) has the greater acceleration.

This implies, acceleration is inversely proportional to the mass of the body.

Hence, ball with 0.52kg mass will have the greater acceleration.