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A skier's mass of $50 kg$ stands at A at the top of a ski jump. He takes off at A for his jump to B. Calculate the change in his gravitational potential energy between A and B. ( $g = 10 m / s^{2}$ )

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750 J

7.5 kJ

75 J

75 kJ

answer is B.

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Detailed Solution

A skier's mass of

50 kg

stands at A at the top of a ski jump. He takes off at A for his jump to B. The change in his gravitational potential energy between A and B is

7.5 kJ .

P.E. at A

= mg \times 75 m

P.E at B

= mg \times 60 m

Difference in P..E

= 75 mg - 60 mg

\Rightarrow = mg (75 - 60)

\Rightarrow = 15 mg

\Rightarrow = 15 \times 50 \times 10 J

\Rightarrow = 7500 J

\Rightarrow = 7.5 kJ

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