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Your roommate drops your wallet down to you from the third-floor window of your apartment, which is 11.5 m from the ground. What is the velocity of the wallet when you catch it? (assume you catch the wallet right before it hits the ground)

1 Answer

5 votes

Answer:

15 m/s

Step-by-step explanation:

Using the law of conservation of energy, potential energy equals kinetic energy hence


mgh=0.5mv^(2)

Therefore


v=√(2gh)

where g is the acceleration due to gravity, m is the mass of the object, h is the height and v is the speed of the wallet

Taking g as 9.81 then


v=√(2* 9.8* 11.5)=15.02098532  m/s\approx 15 m/s

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