Harry jumps horizontally from the top of a building that is 20.0 meters high, * 1 poin and hopes to reach a swimming pool that is 10.0 meters from the base of the building. How fast does Harry need to jump if he is to reach the pool? Answer to the proper number of significant figures and use the correct unit for full credit.

Question

02-02-2024
Physics

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Harry jumps horizontally from the top of a building that is 20.0 meters high, * 1 poin and hopes to reach a swimming pool that is 10.0 meters from the base of the building. How fast does Harry need to jump if he is to reach the pool? Answer to the proper number of significant figures and use the correct unit for full credit.

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masifakrami masifakrami · Answer 1 · 2024-02-03T04:56:53+01:00

Answer:

This means that Harry does not need to jump at any particular speed to reach the pool. He can simply drop down from the top of the building and still reach the pool.

Explanation:

To calculate the speed at which Harry needs to jump to reach the pool, we can use the principle of conservation of energy.

First, let's find the gravitational potential energy (GPE) of Harry at the top of the building. The GPE can be calculated using the formula:

GPE = mass * gravity * height

Since Harry's mass is not given, we can assume it to be negligible in this context.

GPE = 0 * 9.8 * 20.0 = 0 J

Next, let's find the kinetic energy (KE) that Harry needs at the base of the building to reach the pool. The KE can be calculated using the formula:

KE = (1/2) * mass * velocity^2

Since we are looking for the velocity, we can rearrange the equation as:

velocity = sqrt((2 * KE) / mass)

Here, the mass is again assumed to be negligible.

KE = 0.5 * 0 * velocity^2 = 0 J

Since energy is conserved, the GPE at the top of the building is equal to the KE at the base:

0 = 0

This means that Harry does not need to jump at any particular speed to reach the pool. He can simply drop down from the top of the building and still reach the pool.