Answer:
[tex]W_{earth} = 35.74 * 10^6 N[/tex] : Rocket weight on earth
[tex]W_{moon} = 5.91 * 10^6 N[/tex] : Rocket weight on moon
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
[tex]m_{earth} = m_{moon} = 250 * 10^3 slug = 250* 10^3slug * \frac{14.59kg}{1slug} = 3647.5* 10^3 kg[/tex]
[tex]g_{moon}= 1.62 \frac{m}{s^2}[/tex]
[tex]g_{earth}= 9.8 \frac{m}{s^2}[/tex]
Problem development
To calculate the weight of the rocket on the moon and on earth we replace the data in formula (1):
[tex]W_{earth} = 3647.5* 10^3 kg * 9.8 \frac{m}{s^2} = 35.74 * 10^6 N[/tex] : Rocket weight on earth
[tex]W_{moon} = 3647.5* 10^3 kg * 1.62 \frac{m}{s^2} = 5.91 * 10^6 N[/tex] : Rocket weight on moon
