a rock on earth has a mass of 250kg.what is its mass and weight on the moon?
Its mass will be the same everywhere. Weight, however, is dependent on the force of gravity. On the moon, gravity is about 1/6 of Earth, so
WeightMoon=.250kg*9.8Newton/kg * 1/6
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To calculate the mass and weight of an object on the moon, you need to know the gravitational acceleration on the moon's surface. The gravitational acceleration on the moon is about 1/6th that of Earth's surface, approximately 1.62 meters per second squared (m/s²).
1. Calculate the mass on the moon:
- The mass of the rock on Earth is given as 250 kg.
- The mass of an object remains the same regardless of the gravitational field. So, the mass of the rock on the moon will also be 250 kg.
2. Calculate the weight on the moon:
- The weight of an object is the force acting on it due to gravity.
- Weight (W) is given by the formula: W = m * g, where m is the mass and g is the gravitational acceleration.
- On the moon, the gravitational acceleration is 1.62 m/s².
- So, the weight of the rock on the moon is: W = 250 kg * 1.62 m/s².
To determine the actual value for the weight, you can calculate the above expression:
250 kg * 1.62 m/s² = 405 N
Therefore, the mass of the rock on the moon remains 250 kg, while its weight is approximately 405 Newtons.