Complete the following sentence.A 1 kg hammer taken to a distance of 2,300 km away from the Earth's surface will experience a gravitational force closest to:0 N3 N5 N9.8 NI'm not sure
Question
Complete the following sentence.A 1 kg hammer taken to a distance of 2,300 km away from the Earth's surface will experience a gravitational force closest to:0 N3 N5 N9.8 NI'm not sure
Solution
To answer this question, we need to use the formula for gravitational force:
F = G * (m1*m2) / r^2
where:
- F is the gravitational force
- G is the gravitational constant (6.674 * 10^-11 N(m/kg)^2)
- m1 and m2 are the masses of the two objects (in this case, the Earth and the hammer)
- r is the distance between the centers of the two objects
The mass of the Earth (m1) is approximately 5.972 * 10^24 kg. The mass of the hammer (m2) is 1 kg. The radius of the Earth is approximately 6,371 km, so the distance from the center of the Earth to the hammer (r) is 6,371 km + 2,300 km = 8,671 km = 8.671 * 10^6 m.
Substituting these values into the formula gives:
F = (6.674 * 10^-11 N(m/kg)^2) * ((5.972 * 10^24 kg) * 1 kg) / (8.671 * 10^6 m)^2
Solving this equation will give the gravitational force on the hammer.
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