Question

An object falls toward the surface of the earth, traveling 120 feet in a given period of time. The gravitational acceleration of the moon is one-sixth that of the earth; therefore, the object would fall a distance in the same period of time as it falls toward the surface of the moon. Specifically, it would fall ______ feet.

Answer 1

Answer:

20 feet

Step-by-step explanation:

We are given that an object falls toward the surface of the earth , travelling 120 feet in a given period of time.

The gravitational acceleration of the moon is one-sixth that of the earth.

We have to find the value of distance fall by object towards the surface of the moon.

We know that acceleration is directly proportional to displacement

If gravitational acceleration of the  moon is $\frac{1}{6}$ that of the earth

Then the distance towards the surface of moon is one-sixth that of the earth.

We are given that the object would fall a distance in the same period of time as it falls toward the surface of the moon.

The object falls towards the surface of the earth and travelling distance=120 feet

Then , the object falls towards the surface of the earth and travelling distance=$120\times\frac{1}{6}=20 feet$

Hence, it would be fall 20 feet