Chapter 5, Problem 29P

At the surface of a certain planet, the gravitational acceleration g has a magnitude of 12.0 m/s². A 24.0-kg brass ball is transported to this planet. What is (a) the mass of the brass ball on the Earth and on the planet, and (b) the weight of the brass ball on the Earth and on the planet?

To determine

    a. The mass of the brass ball on the earth and on the planet.

    b. The weight of the brass ball on the earth and on planet

Answer to Problem 29P

Solution:

a. The mass of the ball on the earth and on planet is 24 kg

b. On Earth= 235N, On planet=288N

Explanation of Solution

Given info:

Gravitational acceleration g on planet = 12.0 m/s²

Mass of the brass ball = 24 kg

Formula used:

Weight,

                                $W=mg$

Here, m is mass of brass, g is acceleration due to gravity on planet

    a. Mass of the brass ball remain unchanged on both the earth and on the planet.

Calculation:

b. Weight on Earth

                                $W=mg$

=24×9.8 (g=9.8 m/s² on Earth)

=235 N

Weight on planet

                                $W=mg$

= 24×12

=288 N