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An astronaut on the moon with her gear has a mass of [tex]150 \, \text{kg}[/tex]. What is her weight [tex]\([g = 1.6 \, \text{m/s}^2]\)[/tex]?

A. 240 N
B. 400 N
C. 320 N
D. 200 N

Sagot :

GinnyAnswer
To determine the astronaut's weight on the moon, we can use the formula for weight, which is given by:

[tex]\[ W = m \times g \][/tex]

Where:
- [tex]\( W \)[/tex] is the weight,
- [tex]\( m \)[/tex] is the mass,
- [tex]\( g \)[/tex] is the gravitational acceleration.

Given:
- The mass of the astronaut with her gear [tex]\( m = 150 \)[/tex] kg,
- The gravitational acceleration on the moon [tex]\( g = 1.6 \)[/tex] m/s².

Substituting these values into the formula, we have:

[tex]\[ W = 150 \, \text{kg} \times 1.6 \, \text{m/s}^2 \][/tex]

[tex]\[ W = 240 \, \text{N} \][/tex]

Therefore, the astronaut's weight on the moon is [tex]\( 240 \, \text{N} \)[/tex].

So, the correct answer is:

A. 240 N
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