A rigid body of mass 2 kg is dropped from a stationary balloon kept at a height of 50 m from the ground. The speed of the body when it just touches the ground and the total energy when it is dropped from the balloon are respectively (acceleration due to gravity = 9.8 m/s²)
- A.980 m s⁻¹ and 980 J
- B.√980 m s⁻¹ and √980 J
- C.980 m s⁻¹ and √980 J
- D.√980 m s⁻¹ and 980 J
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The body falls freely from rest through 50 m, so v² = 2gh = 2 × 9.8 × 50 = 980, giving v = √980, about 31.3 m s⁻¹; its total energy at release is all potential energy, mgh = 2 × 9.8 × 50 = 980 J. Because the…
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