Hi,

If an astronaut of 75 Kg of mass gives a jump of 1.5 meters in the air and hit the ground of the martian satellite Deimos then:

1) what will be the force of the impact in Newtons?

2) What will be the energy of the impact in Joules?

3) Will Deimos move?

I think we must first calculate g for Deimos. I have the following data regarding the mass and radius - from Wikipedia

g = G*2.244*10^15/6300^2 ~ 0,003771 m/s²

The website refers 0.0039 m/s², so the radius must be rounded in their data ( they refer the diameter as 12.6 km ) and G must have more decimal places.

From here, the impact of the astronaut would be, I think:

EK = 75 * 0.0039 * 1.5 = 0,43875 Joules

The force, I'm not sure. 75 kg is the mass of the astronaut. 75 * 0.0039 ~ 0,2925 is its weight. Since F=ma, I think that the force in Newtons of the impact is equal to its weight, or 0.2925 Newtons. Am I right so far?

So, Deimos will suffer an acceleration of

F = ma

0,2925 = 2,244*10^15 * a

a = 1,303476e-16 m/s²

( this part is confused...does it moves how much? )

Can someone help me out here? This is urgent.

Kind regards,

kepler

If an astronaut of 75 Kg of mass gives a jump of 1.5 meters in the air and hit the ground of the martian satellite Deimos then:

1) what will be the force of the impact in Newtons?

2) What will be the energy of the impact in Joules?

3) Will Deimos move?

I think we must first calculate g for Deimos. I have the following data regarding the mass and radius - from Wikipedia

g = G*2.244*10^15/6300^2 ~ 0,003771 m/s²

The website refers 0.0039 m/s², so the radius must be rounded in their data ( they refer the diameter as 12.6 km ) and G must have more decimal places.

From here, the impact of the astronaut would be, I think:

EK = 75 * 0.0039 * 1.5 = 0,43875 Joules

The force, I'm not sure. 75 kg is the mass of the astronaut. 75 * 0.0039 ~ 0,2925 is its weight. Since F=ma, I think that the force in Newtons of the impact is equal to its weight, or 0.2925 Newtons. Am I right so far?

So, Deimos will suffer an acceleration of

F = ma

0,2925 = 2,244*10^15 * a

a = 1,303476e-16 m/s²

( this part is confused...does it moves how much? )

Can someone help me out here? This is urgent.

Kind regards,

kepler

Last edited: