Question

The acceleration due to gravity on the moon is about 1/6 of the acceleration due to gravity on the earth. A net force F acts horizontally on an object on the Moon, producing an acceleration equal to am. In the absence of friction and drag, the same force acting on the same object on Earth would produce an acceleration i.e. equal to

a. 6am
b. (1/6)am
c. am
d. 0
e. 9.8 m/s2

Answer 1

c.
`a_m`

Step-by-step explanation:

We are given that

Acceleration due to gravity on the moon=
`a_m`

Acceleration due to gravity on the earth=
`a_e`

`g_m=(1)/(6)g_e`

Net force due to am on an object on moon=
`F_(net)=ma_m`

There is no friction and no drag force and there is no gravity involved

Then, the force acting on an object on earth=
`F=ma_e`

`F=F_(net)`(given)

`ma_m=ma_e`

`a_e=a_m`

Hence, option c is true.