1. | \(\frac{\pi RG}{12g}\) | 2. | \(\frac{3\pi R}{4gG}\) |
3. | \(\frac{3g}{4\pi RG}\) | 4. | \(\frac{4\pi G}{3gR}\) |
1. | \(180 ~\text{N/kg}\) | 2. | \(0.05 ~\text{N/kg}\) |
3. | \(50 ~\text{N/kg}\) | 4. | \(20 ~\text{N/kg}\) |
Assuming the earth to be a sphere of uniform density, its acceleration due to gravity acting on a body:
1. | increases with increasing altitude. |
2. | increases with increasing depth. |
3. | is independent of the mass of the earth. |
4. | is independent of the mass of the body. |