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KonstantinChe [14]
2 years ago
8

A boy weighing 445 N swings on a 2-m long swing. If his horizontal speed at the lowest point is 3 m/s, what total force must the

ropes holding the swing be able to withstand?
Physics
1 answer:
levacccp [35]2 years ago
8 0

Explanation:

We need to calculate the centripetal force:

Fc = W + F

With Fc being the centripetal force, W the weight of the boy, F the centrifugal force (apparent).

We know that we can calculate the apparent centrifugal force thank to the formula:

F = (m·v²)/r = 204N

So we can write:

Fc = W + F = 445N + 204N = 649N

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A student decides to move a box of books into her dormitory room by pulling on a rope attached to the box. She pulls with a forc
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Answer:

Part a)

a = 0.36 m/s^2

Part b)

a = -1.29 m/s^2

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Force applied by the student on the box is 80 N at an angle of 25 degree

so here two components of the force on the box is given as

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F_x = 80 cos25 = 72.5 N

F_y = Fsin25

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now in vertical direction we can use force balance for the box to find the normal force on it

F_n + F_y = mg

F_n = (25)(9.81) - 33.8

F_n = 211.45 N

now kinetic friction on the box opposite to applied force due to rough floor is given as

F_k = \mu F_n

F_k = (0.300)(211.45) = 63.44 N

now the net force on the box in forward direction is given as

F_{net} = F_x - F_k

F_{net} = 72.5 - 63.44 = 9.065 N

now the acceleration of the box is given as

a = \frac{F_{net}}{m}

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Part b)

when box is pulled up along the inclined surface of angle 10 degree

now the two components of the force will be same along the inclined and perpendicular to inclined plane

F_x = 72.5 N

F_y = 33.8 N

now force balance perpendicular to inclined plane is given as

F_n + F_y = mgcos\theta

F_n = (25)(9.81)cos10 - 33.8 = 207.7 N

now the friction force opposite to the motion on the box is given as

f_k = \mu F_n

f_k = (0.300)(207.7) = 62.3 N

now the net pulling force along the inclined plane is given as

F_{net} = F_x - F_k - mgsin10

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a = \frac{F_{net}}{m}

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