Compare the gravitational force on a 1.0-kg apple that is on the surface of earth versus the gravitational force due to the moon on the same apple in the same location on the surface of earth.
assume that earth and the moon are spherical and that both have their masses concentrated at their respective centers.
mass of the moon is 7.35 ×× 1022 kg. orbit radius of the moon is 3.84 ×× 108 m.

what is the ratio of the force between earth and the apple to the force between moon and the apple?

Explanation:

r = Radius of Earth =

= Radius of Moon =

G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²

Gravitational force on the apple on Earth

Gravitational force of Moon on the apple

Dividing the two equations

The ratio of the force between Earth and the apple to the force between Moon and the apple is

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.

t = 1/400 h   ⇔ 0.0025 h ⇔ 9s ⇔ 0.15 m

any of the answers are correct.