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mezya [45]
3 years ago
6

A child of mass 27 kg swings at the end of an elastic cord. At the bottom of the swing, the child's velocity is horizontal, and

the speed is 10 m/s. At this instant the cord is 3.40 m long. (Take the x direction to be horizontal and to the right, the y direction to be upward, and the z direction to be out of the page.)
At this instant, what is the magnitude of the rate of change of the child's momentum?
Physics
1 answer:
snow_tiger [21]3 years ago
7 0

Answer:

The magnitude of the rate of change of the child's momentum is 794.11 N.

Explanation:

Given that,

Mass of child = 27 kg

Speed of child in horizontal = 10 m/s

Length = 3.40 m

There is a rate of change of the perpendicular component of momentum.

Centripetal force acts always towards the center.

We need to calculate the magnitude of the rate of change of the child's momentum

Using formula of momentum

\dfrac{dp}{dt}=F

\dfrac{dP}{dt}=\dfrac{mv^2}{r}

Put the value into the formula

\dfrac{dP}{dt}=\dfrac{27\times10^2}{3.40}

\dfrac{dP}{dt}=794.11\ N

Hence, The magnitude of the rate of change of the child's momentum is 794.11 N.

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Answer:

(a) a = 56.4 m/s², his acceleration a, in multiples of gravity g, is 5.76 g

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Explanation:

(a)

When moving upwards, the initial velocity, u = 0 (he accelerated from rest)

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time of  motion during this acceleration, t = 5 s

His acceleration is calculated as;

v = u + at

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a = 282 / 5

a = 56.4 m/s²

Ratio of his acceleration, a to gravity, g = a/g = 56.4 / 9.8 = 5.76

a = 5.76 g

(b)

When moving downwards, the initial velocity, u = 282 m/s

When moving downwards, the final velocity, v = 0 (he was brought to rest)

time of  motion during this deceleration, t = 1.4 s

His deceleration is calculated as;

v = u + at

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1.4a = -282

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Ratio of his deceleration, -a to gravity, g = -a/g = 201.43 / 9.8 = 20.56

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What is the velocity of a quarter drooped from a towards after 10secounds
ArbitrLikvidat [17]
U=0 
<span>t=10 </span>
<span>a=9.8m/s/s </span>
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Explanation:

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