Question

When Danny Diver who weighs 500 N steps off a diving board 10 m above the water, he hits the water with kinetic energy of

Answer 1

Danny Diver hits the water with kinetic energy of 5000 J. This value is found using the conservation of energy where the potential energy due to his height above the water is converted to kinetic energy just before hitting the water.

Step-by-step explanation:

Kinetic Energy of Danny Diver

To calculate the kinetic energy of Danny Diver hitting the water, we use the principle of conservation of energy. The potential energy (PE) that Danny has at the top due to his height above the water is converted to kinetic energy (KE) just before he hits the water, assuming there's no air resistance and no energy is lost.

Firstly, the potential energy at the top is given by the formula:
PE = m × g × h,
where m is the mass, g is the acceleration due to gravity (9.8 m/s²), and h is the height. Since his weight is the force of gravity acting on his mass, we can use the weight 500 N directly, which is equal to the mass × gravity. The height, in this case, is 10 m.

Calculating his potential energy:
PE = 500 N × 10 m = 5000 J (joules).

By conservation of energy, this potential energy is equal to his kinetic energy when he hits the water:

KE = PE = 5000 J.

Danny Diver hits the water with kinetic energy of 5000 J.

Answer 2

5000 J

Step-by-step explanation:

Given that,

Weight of Danny Diver, F = 500 N

He steps off a diving board 10 m above the water

We need to find the kinetic energy of the water with which it hits. Let its is K. It is given by :

E = mgh

Where g is acceleration due to gravity

`E=500\ N* 10\ m\\\\=5000\ J`

So, he hits the water with kinetic energy of 5000 J.