Respuesta :

Answer:

v = 2.21 m/s

Explanation:

The foreman had released the box from rest at a height of 0.25 m above the ground.

We need to find the speed of the crate when it reaches the bottom of the ramp. Let v is the velocity at the bottom of the ramp. It can be calculated using conservation of energy as follows :

[tex]mgh=\dfrac{1}{2}mv^2\\\\v=\sqrt{2gh} \\\\v=\sqrt{2\times 9.8\times 0.25} \\\\v=2.21\ m/s[/tex]

So, its velocity at the bottom of the ramp is 2.21 m/s.

The crate's speed is 2.21 m/s.

Calculation of the speed:

Since the foreman had released the box from rest at a height of 0.25 m above the ground.

Here we need to determine the speed of the crate at the time when it reaches the bottom of the ramp.

Here we assume v be the velocity at the bottom of the ramp.

The formula of conversation of energy should be applied.

So, the speed should be

mgh = 0.5mv^2

v = √2gh

v = √2-9.8*0.25

v = 2.21 m/s

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