AN astronaut on the Moon has a mass (including his spacesuit and equipment) of 180 kg. the acceleration due to gravity on the Moon is 1.6 m/s2 (seconds squared).

a) calculate his weight on the moon.

the astronaut climbs 100m to the top of the crater .

b) by how much does his gravitational potential energy (g.e.p) change?

c) Does his g.p.e increase or decrease?

weight=mass*acceleration

gpe=m*acceleration*height
If he goes to the top, his gpe increases.

9.8

a) Well, on the Moon, nobody will ever ask you about your weight. But if you insist, let's calculate it for fun! The weight of the astronaut on the Moon can be found using the formula: weight = mass × acceleration due to gravity. So, weight = 180 kg × 1.6 m/s². That gives us a weight of 288 Newtons. But remember, on the Moon, you can eat all the space ice cream you want without worrying about your weight!

b) To calculate the change in gravitational potential energy, we use the formula: Δg.p.e = mass × gravitational acceleration × change in height. In this case, the change in height is 100m and the gravitational acceleration on the Moon is 1.6 m/s². So, Δg.p.e = 180 kg × 1.6 m/s² × 100m. That gives us a change in gravitational potential energy of 28,800 Joules. That's a lot of potential energy!

c) Since the astronaut climbed to the top of the crater, his gravitational potential energy has increased. So, his g.p.e increases. Just like your excitement when you find extra fries at the bottom of the bag!

a) To calculate the astronaut's weight on the Moon, we can use the equation:

Weight = Mass x Acceleration due to gravity

Weight = 180 kg x 1.6 m/s^2
Weight = 288 N

Therefore, the astronaut's weight on the Moon is 288 Newtons.

b) To calculate the change in gravitational potential energy (ΔGPE), we can use the equation:

ΔGPE = Weight x Height

Given that the astronaut climbs 100m, we can substitute the values:

ΔGPE = 288 N x 100 m
ΔGPE = 28,800 J

Thus, the change in gravitational potential energy is 28,800 Joules.

c) The astronaut's gravitational potential energy (GPE) increases as he climbs higher. This is because GPE depends on an object's height relative to a reference point. As the astronaut climbs to the top of the crater, his height increases, and therefore his GPE increases.

a) To calculate the astronaut's weight on the Moon, we can use the formula:

Weight = Mass x Acceleration due to Gravity

Weight = 180 kg x 1.6 m/s²

Weight = 288 N

Therefore, the astronaut's weight on the Moon is 288 Newtons.

b) The change in gravitational potential energy (G.P.E) can be calculated using the formula:

Change in G.P.E = Mass x Gravity x Change in Height

Given:
Mass = 180 kg
Gravity on the Moon = 1.6 m/s²
Change in Height = 100 m

Change in G.P.E = 180 kg x 1.6 m/s² x 100 m

Change in G.P.E = 28,800 Joules

So, the change in gravitational potential energy is 28,800 Joules.

c) The G.P.E increases when the astronaut climbs up the crater, as indicated by the positive value of the change in G.P.E. This means that the astronaut gains potential energy as they climb up, and this increase is reflected in the change in G.P.E.