A spacecraft carries a probe to Mars where the gravitational field strength is 3.7 N / kg. The weight of the probe on Mars is 370 N.The gravitational field strength on Earth is 9.8 N / kg.What are the mass and the weight of the probe on Earth?
Question
A spacecraft carries a probe to Mars where the gravitational field strength is 3.7 N / kg. The weight of the probe on Mars is 370 N.The gravitational field strength on Earth is 9.8 N / kg.What are the mass and the weight of the probe on Earth?
Solution
To find the mass of the probe on Mars, we use the formula for weight which is:
Weight = Mass * Gravitational field strength
We can rearrange this formula to find mass:
Mass = Weight / Gravitational field strength
Substituting the given values:
Mass = 370 N / 3.7 N/kg = 100 kg
So, the mass of the probe is 100 kg.
To find the weight of the probe on Earth, we use the same formula for weight:
Weight = Mass * Gravitational field strength
Substituting the values:
Weight = 100 kg * 9.8 N/kg = 980 N
So, the weight of the probe on Earth is 980 N.
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