Answer:

Explanation:
Given that,
Mass of the Moon, 
Mass of the person, m = 66 kg
The radius of Moon, 
We need to find the force between the person and the Moon. The formula for the gravitational force is given by :

So, the required force is
.
Answer:
The initial speed of the ball was 26.2 m/s
Explanation:
When the football player is in the air at his maximum height the vertical component of velocity is zero, To obtain the horizontal velocity when the player catches the ball we need to apply the linear momentum conservation theorem:

we need to obtain the time taken to go down.

We have a horizontal displacement and the time taken to stop, so:

so:

Boyles law describes pressure volume relationship at constant temperature pressure is directly proportional to volume at constant tamparature
Given:
m = 555 g, the mass of water in the calorimeter
ΔT = 39.5 - 20.5 = 19 °C, temperature change
c = 4.18 J/(°C-g), specific heat of water
Assume that all generated heat goes into heating the water.
Then the energy released is
Q = mcΔT
= (555 g)*(4.18 J/(°C-g)*(19 °C)
= 44,078.1 J
= 44,100 J (approximately)
Answer: 44,100 J