Question

A block rests on a frictionless table on Earth. After a 20-N horizontal force is applied to the block, it accelerates at 3.9 m/s2. Then the block and table are carried to the moon, where the acceleration due to gravity is 1.62 m/s2. A horizontal force of 10 N is then applied to the block. What is the acceleration?

Answer 1

I think it's 1.95m/s^2

Answer 2

`1.95m/s^2`

Step-by-step explanation:

We should understand that acceleration due to gravity does not affect the horizontal acceleration of the block, whether on earth or on the moon. On earth we use the following relationship to obtain the mass of the object.

`f=ma\\f=20N\\a=1.62m/s^2\\m=f/a\\m=20/1.62\\m=5.128kg`

The mass does not change whether on earth or on the moon. Mass is the quantity of matter contained in a body and it does not change with the location of the body. The same relationship between force, mass and acceleration also holds over there.

Therefore, on the moon;

`f=10N\\a=?\\m=5.128kg\\a=f/m\\a=10/5.128\\a=1.95m/s^2`