A body experiences a gravitational force with a magnitude of 200 N in a region of space where the magnitude of the gravitational field is 10 m/s².The mass of the body is A)0.2 kg B)100 kg C)5 kg D)20 kg E)2000 kg

Question

Quizplus · Accepted Answer

Newton's second law of motion states that force is equal to mass times acceleration. In this case, we can use the equation:

F = ma

where F is the gravitational force, m is the mass of the body, and a is the acceleration due to gravity.

In the given region of space, the magnitude of the gravitational field is 10 m/s^2. This means that the acceleration due to gravity is 10 m/s^2.

Therefore, we can rewrite the equation as:

F = mg

where g is the acceleration due to gravity.

Substituting the given values, we get:

200 N = m x 10 m/s^2

Simplifying the equation, we get:

m = 200 N / 10 m/s^2

m = 20 kg

Hence, the mass of the body is 20 kg. Therefore, the best choice is D) 20 kg.

A Body Experiences a Gravitational Force with a Magnitude of 200