A light string is wrapped around the edge of the smaller disk, and a 1.50 kg block is suspended from the free end of the string. If the block is released from rest at a distance of 2.80 m above the floor, what is its speed just before it strikes the floor

Respuesta :

Answer: 7.41 m/s

Explanation: By using the law of of energy, kinetic energy of the brick as it falls equals the potential energy before falling.

Kinetic energy = mv²/2, potential energy = mgh

mv²/2 = mgh

v²/2 = gh

v² = 2gh

v = √2gh

Where g = 9.8 m/s², h = 2.80m

v = √2×9.8×2.8 = 7.41 m/s

The speed just before it strikes the floor is 7.41 m/s

Calculation of the speed;

Since a light string is wrapped around the edge of the smaller disk, and a 1.50 kg block is suspended from the free end of the string and if the block is released from rest at a distance of 2.80 m

So, the speed is

We know that

Kinetic energy = mv²/2,

potential energy = mgh

Now

mv²/2 = mgh

v²/2 = gh

v² = 2gh

v = √2gh

Here g = 9.8 m/s², h = 2.80m

So,

v = √2×9.8×2.8

= 7.41 m/s

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