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Roman55 [17]
3 years ago
6

A child sits on a fiberglass muskrat fastened 7.2 meters from the center of a merry-go-round platform that is rotating once ever

y 15 seconds. What is the child's speed while sitting on the muskrat?
Physics
1 answer:
kodGreya [7K]3 years ago
7 0

Answer:

Child's speed, v = 3.01 m/s

Explanation:

It is given that,

Radius of the merry- go- round, r = 7.2 m

Time of rotation, t = 15 seconds

Let v is the child's speed while sitting on the muskrat. The displacement of the child is,

d=2\pi r=2\pi \times 7.2=45.23\ m

The speed of the child is given by :

v=\dfrac{d}{t}

v=\dfrac{45.23\ m}{15\ s}

v = 3.01 m/s

So, the speed of child while sitting on the muskrat is 3.01 m/s. Hence, this is the required solution.

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A tortoise and hare start from rest and have a race. As the race begins, both accelerate forward. The hare accelerates uniformly
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Answer:

1) Vf = 3.36 m/s

2) v = 6.86 m/s

3) s = 92.3 m

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Explanation:

1)

We use first equation of motion in this case:

Vf = Vi + at

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Vf = Final velocity = ?

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2)

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3)

First we use second equation of motion to find distance covered in accelerated motion:

s₁ = Vi t + (0.5)at²

s₁ = (0 m/s)(4.9 s) + (0.5)(1.4 m/s²)(4.9 s)²

s₁ = 16.8 m

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s₂ = vt

s₂ = (6.86 m/s)(11 s)

s₂ = 75.5 m

Now, total distance covered before slowing down is given as:

s = s₁ + s₂ = 16.8 m + 75.5 m

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3)

Using third equation of motion for the decelerated motion:

2as = Vf² - Vi²

where,

a = deceleration = ?

s = distance covered = 102 m

Vf = Final Speed = 0 m/s

Vi = Initial Speed = 6.86 m/s

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(2)(a)(102 m) = (0 m/s)² - (6.86 m/s)²

a = - (47.06 m²/s²)/(204 m)

<u>a = - 0.23 m/s²</u>

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