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Gnom [1K]
3 years ago
13

Girl who’s mass is 52kg, experienced a net force of 1800N at bottom of a roller coster loop during her school physics field to t

he local amusement park, determine Sophia’s acceleration at location.
Physics
1 answer:
Andreas93 [3]3 years ago
3 0

Answer:

34.62m/s^2

Explanation:

Force = mass x acceleration

Given

Force = 1800N

Mass = 52kg

Therefore

1800 = 52 x a

Divide both sides by 52

1800/52 = 52/52 x a

34.62 = a

a = 34.62m/s^2

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The height of the roof is <u>3.57m</u>

Let the drops fall at a rate of 1 drop per t seconds. The first drop takes 5t seconds to reach the ground. The second drop takes 4t seconds to reach the bottom of the 1.00 m window, while the 3rd drop takes 3t s to reach the top of the window.

Calculate the distances traveled by the second and the third drops s₂ and s₃, which start from rest from the roof of the building.

s_2=\frac{1}{2} g(4t)^2=8gt^2\\  s_3=\frac{1}{2} g(3t)^2=(4.5)gt^2

The length of the window s is given by,

s=s_2-s_3\\ (1.00 m)=8gt^2-4.5gt^2=3.5gt^2\\ t^2=\frac{1.00 m}{(3.5)(9.8m/s^2)} =0.02915s^2

The first drop is at the bottom and it takes 5t seconds to reach down.

The height of the roof h is the distance traveled by the first drop and is given by,

h=\frac{1}{2} g(5t)^2=\frac{25t^2}{2g} =\frac{25(0.02915s^2)}{2(9.8m/s^2)} =3.57 m

the height of the roof is 3.57 m



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