Solveeit Logo

Question

Question: A body of mass 2 kg is thrown upward with an energy 490 J. The height at which its kinetic energy wo...

A body of mass 2 kg is thrown upward with an energy 490 J. The height at which its kinetic energy would become half of its initial kinetic energy will be [ g=9.8 m/s2g = 9.8 \mathrm {~m} / \mathrm { s } ^ { 2 } ]

A

35 m

B

25 m

C

12.5 m

D

10 m

Answer

12.5 m

Explanation

Solution

If the kinetic energy would become half, then Potential energy = 12\frac { 1 } { 2 } (Initial kinetic energy)

mgh=12[490]m g h = \frac { 1 } { 2 } [ 490 ]2×9.8×h=12[490]2 \times 9.8 \times h = \frac { 1 } { 2 } [ 490 ]h=12.5mh = 12.5 m