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Rudik [331]
3 years ago
10

A ball on the end of a string is whirled around in a horizontal circle of radius 0.478 m. The plane of the circle is 1.02 m abov

e the ground. The string breaks and the ball lands 2.5 m away from the point on the ground directly beneath the ball’s location when the string breaks. The acceleration of gravity is 9.8 m/s 2 . Find the centripetal acceleration of the ball during its circular motion. Answer in units of m/s 2 .
Physics
1 answer:
m_a_m_a [10]3 years ago
3 0

Answer:

Explanation:

We shall find first the velocity of ball at the time when string breaks. Let it be v . During its fall on the ground , 1.02 m below, we use the formula

h = 1/2 gt² where t is time of fall .

1.02 = 1/2 x 9.8 x t²

t²= .2081

t = .456

During this time it travels horizontally at distance of 2.5 m with uniform velocity of v

v x .456 = 2.5

v  = 5.48 m /s

centripetal acceleration

= v² / r where r is radius of the circular path

= 5.48² / .478

= 62.82 m /s²

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A toolbox of mass 3.2kg is lowered by a rope from the roof to the ground. Find the acceleration of the toolbox when the force of
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The answer to your question is:

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Explanation:

Data

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a = ?

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g = 9.81 m/s²

Formula

Second law of motion = F = ma

                              a + g = F / m

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a)                            a = 40/3.2 - 9.81

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b)                            a = 20/ 3.2 - 9.81

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