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A space traveller weighs herself on earth, at a location where the acceleration due to gravity is 9.82 m/s2, and finds a value of 585 n. what is her mass?

User Gkri
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Final answer:

The space traveller's mass is approximately 59.6 kg, calculated by dividing the measured weight of 585 N by the acceleration due to gravity, which is 9.82 m/s².

Step-by-step explanation:

The mass of the space traveler can be determined using the relationship between weight, mass, and the acceleration due to gravity. The formula for weight is:

w = mg

where w stands for weight, m for mass, and g for acceleration due to gravity. By rearranging this formula to solve for mass, we get:

m = w / g

Given that the weight (w) is 585 N and the acceleration due to gravity at the location is 9.82 m/s², the mass (m) can be calculated as follows:

m = 585 N / 9.82 m/s²

Performing the division gives us the mass:

m ≈ 59.6 kg

The space traveller's mass is approximately 59.6 kilograms.

User Vibha Rathi
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8.4k points
3 votes
59.57kg is the answer
User Tipu Sultan
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