Question

(3) What is the weight of a 50-kg astronaut (a) on Earth (b) On the Moon ,(g=1.7m/s2), (c) on Mars (g=3.7m/s2) (d)in outer space traveling with constant velocity.

Answer 1

a) On Earth

490N

b) On the Moon

85N

c) On Mars

185N

d)in outer space traveling with constant velocity.

0

Step-by-step explanation:

The weight is defined as:

`W = mg` (1)

Where m is the mass and g is the gravity

a) On Earth
`g = 9.8m/s^(2)`

Then, equation 1 can be used:

`W = (50Kg)(9.8m/s^(2))`

`W = 490Kg.m/s^(2)`

but 1N = Kg.m/s^{2}

`W = 490N`

Hence, the weight of the astronaut on Earth is
`490N`

b) On the Moon
`g = 1.7m/s^(2)`

`W = (50Kg)(1.7m/s^(2))`

`W = 85N`

Hence, the weight of the astronaut on the Moon is
`85N`

c) On Mars
`g = 3.7m/s^(2)`

`W = (50Kg)(3.7m/s^(2))`

`W = 185N`

Hence, the weight of the astronaut on Mars is
`185N`

(d) in outer space traveling with constant velocity.

Tanking into consideration that the astronaut is traveling in outer space at a constant velocity, it can be concluded that the acceleration will be zero.

Remember that the acceleration is defined as:

`a = (v_(f) - v_(i))/(t)`

Since the acceleration is the variation of the velocity in a unit of time.

Therefore, from equation 1 is gotten.

`W = (50kg)(0)`

Remember that g is the acceleration that a body experience as a consequence of the gravitational field.

`W = 0`