Question

a rocket has a mass 250(10^3) slugs on earth. Specify its mass in si units and its weight in si unites. if the rocket is on the moon, where the acceleration due to gravity is determine to three significant figures its weight in si units and its mass in si units

Answer 1

`W_(earth) = 35.74 * 10^6 N` : Rocket weight on earth

`W_(moon) = 5.91 * 10^6 N` : Rocket weight on moon

Step-by-step explanation:

Conceptual analysis

Weight is the force with which a body is attracted due to the action of gravity and is calculated using the following formula:

W = m × g Formula (1)

W: weight

m: mass

g: acceleration due to gravity

The mass of a body on the moon is equal to the mass of a body on the earth

The acceleration due to gravity on a body is different on the moon and on the earth

Equivalences

1 slug = 14.59 kg

Known data

`m_(earth) = m_(moon) = 250 * 10^3 slug = 250* 10^3slug * (14.59kg)/(1slug) = 3647.5* 10^3 kg`

`g_(moon)= 1.62 (m)/(s^2)`

`g_(earth)= 9.8 (m)/(s^2)`

Problem development

To calculate the weight of the rocket on the moon and on earth we replace the data in formula (1):

`W_(earth) = 3647.5* 10^3 kg * 9.8 (m)/(s^2) = 35.74 * 10^6 N` : Rocket weight on earth

`W_(moon) = 3647.5* 10^3 kg * 1.62 (m)/(s^2) = 5.91 * 10^6 N` : Rocket weight on moon