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Naddika [18.5K]
3 years ago
9

A free body diagram of a brick on an inclined plane is shown below. What is the mechanical advantage of the inclined plane?

Physics
1 answer:
Norma-Jean [14]3 years ago
5 0

Answer:

#See solution for details.

Explanation:

-Mechanical advantage is the ratio of input force to an output force.

-Let the length of the inclined plane be x and the height be y.

-The mechanical advantage is calculated as:

M_{advantage}=\frac{x}{y}

Hence, the inclined plane increases the force being exerted by \frac{x}{y} times.

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I will answer this in English.

We know that the apple needs 5 seconds to reach the ground.

Each floor of the building has a height of 2.88m.

Now, when we drop something, the only force acting on the object is the gravitational one, so the acceleration of the apple is:

a = -g

for the velocity, we integrate the acceleration over time, and as the apple is dropped, we do not have any initial velocity, so we do not have a constant in the integration:

v = -g*t

for the position we integrate again, now we have an initial height H, so the position is:

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i will use g = 9.8m/s^2

0 = (-4.9m/s^2)*(5s)^2 + H  

H = 122.5 m

now knowing H, we can divide it by the height of a floor in the building and get the number of the floor.

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this means that the apple was dropped in the floor 42 (the 0.5 means that the apple was not right where the floor 42 starts, it was dropped around the middle of the floor 42)

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