Physics, 02.03.2020 17:53 isalih7256

The weight of an astronaut plus his space suit on the Moon is only 250 N. (a) How much does the suited astronaut weigh on Earth? (b) What is the mass on the Moon? On Earth?

Answers: 3

Show answers

Answers

Answer from: dijaflame67

(a) 1500N

(b) 150kg, 150kg

Explanation:

Consider the following equation from Newton's law of gravitational force between two bodies A and B;

$F_{g}$ = m x g

Where;

$F_{g}$ = gravitational force between A and B on a space (e.g moon or earth)

m = mass of A or B

g = acceleration due to gravity on the given space. (e.g moon or earth)

Also;

The acceleration due to gravity ( $g_{e}$ ) on the earth is 6 times the acceleration due to gravity ( $g_{m}$ ) on the moon. i.e

$g_{e}$ = 6 x $g_{m}$

=> $g_{m}$ = $g_{e}$ / 6

Assume in this case and;

Let body A be the suited astronaut

Let body B be the moon or the earth

This implies that;

$F_{ge}$ = m x $g_{e}$ ------------------(ii)

Where;

$F_{ge}$ = gravitational force between suited astronaut and Earth on Earth = Weight of the suited astronaut on Earth.

m = mass of suited astronaut

$g_{e}$ = acceleration due to gravity on the Earth (e.g moon or earth)

And;

$F_{gm}$ = m x $g_{m}$ ------------------(iii)

Where;

$F_{gm}$ = gravitational force between suited astronaut and the moon = Weight of the suited astronaut on the moon

m = mass of suited astronaut

g = acceleration due to gravity on the moon.

From equations (ii) and (iii)

[Remember that $g_{e}$ = 6 x $g_{m}$ ], substitute this into equation (ii) as follows;

$F_{ge}$ = m x 6 x $g_{m}$ [re-arranging]

$F_{ge}$ = 6 x m x $g_{m}$ [Put $F_{gm}$ for m x $g_{m}$ ]

$F_{ge}$ = 6 x $F_{gm}$ ------------------(iv)

(a) To get the weight of the suited astronaut on Earth, we use equation (iv) as follows;

$F_{ge}$ = 6 x $F_{gm}$ ------------------------(v)

Where;

$F_{gm}$ = the weight of the suited astronaut on the moon = 250N

Substitute this into equation (v)

$F_{ge}$ = 6 x 250

$F_{ge}$ = 1500N

Therefore, the weight of the suited astronaut on the Earth is 1500N

(b)

(i) to get the mass on the moon, use equation (iii) as follows;

$F_{gm}$ = m x $g_{m}$

Where;

$F_{gm}$ = 250N and

$g_{m}$ = $g_{e}$ / 6 [ $g_{e}$ = g = 10m/s²]

$g_{m}$ = 10 / 6

$g_{m}$ = 1.6666667m/s²

Substitute these values into the equation above;

250 = m x 1.6666667

Solve for m;

m = $\frac{250}{1.6666667}$

m = 150kg

(ii) to get the mass on the Earth, use equation (ii) as follows;

$F_{ge}$ = m x $g_{e}$

Where;

$F_{ge}$ = 1500N and $g_{e}$ = g = 10m/s²

Substitute these values into the equation above;

1500 = m x 10

Solve for m;

m = $\frac{1500}{10}$

m = 150kg

Therefore the masses of the suited astronaut on Moon and on Earth are the same and equal to 150kg

Answer from: Quest

Learned about life itself

Answer from: Quest

well clustered together.

points close on a scatter diagram

Another question on Physics

Physics, 22.06.2019 03:30

As part of an industrial process, air as an ideal gas at 10 bar, 400k expands at steady state through a valve to a pressure of 4 bar. the mass flow rate of air is 0.5 kg/s. the air then passes through a heat exchanger where it is cooled to a temperature of 295k with negligible change in pressure. the valve can be modeled as a throttling process, and kinetic and potential energy effects can be neglected. (a) for a control volume enclosing the valve and heat exchanger and enough of the local surroundings that the heat transfer occurs at the ambient temperature of 295 k, determine the rate of entropy production, in kw/k. (b) if the expansion valve were replaced by an adiabatic turbine operating isentropically, what would be the entropy production? compare the results of parts (a) and (b) and discuss.

Answers: 3

Answer

Physics, 22.06.2019 18:30

Anonzero net force acts on a particle and does work. which one of the following statements is true? the kinetic energy of the particle changes, but the speed of the particle does not change. the kinetic energy of the particle does not change, but the speed of the particle does change. the kinetic energy of the particle changes, but the velocity of the particle does not change. the kinetic energy and the speed of the particle change, but the velocity of the particle does not change. the kinetic energy, speed, and velocity of the particle change.

Answers: 1

Answer

Physics, 22.06.2019 22:20

A10-kg piece of aluminum sits at the bottom of a lake, right next to a 10-kg piece of lead, which is much denser than aluminum. which one has the greater buoyant force on it? explain. b - the aluminum a) both have the same buoyant force. b) the aluminum c) the lead d) it cannot be determined without knowing their volumes.

Answers: 1

Answer

Physics, 22.06.2019 23:30

How is the ideal mechanical advantage of a wheel and axle calculated?

Answers: 1

Answer

You know the right answer?

The weight of an astronaut plus his space suit on the Moon is only 250 N. (a) How much does the suit...

Questions