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marin [14]
3 years ago
5

In the previous part, you determined the maximum angle that still allows the crate to remain at rest. If the coefficient of fric

tion is less than 0.7, what happens to this angle? (Note that you can adjust the coefficient of friction by clicking on the More Features tab near the top of the window and then using the slider bar in the right panel.)
Physics
1 answer:
creativ13 [48]3 years ago
6 0

Answer:

the angle must decrease to maintain balance and that the system remains motionless

Explanation:

In a system of a block in an inclined plane, using Newton's second law

X Axis       Wₓ-fr = 0

Y Axis       N -W_{y} = 0

The equation for the force of friction is

          fr = μ N

And using trigonometry for weight components

         sin θ = Wₓ / W

         cos θ = W_{y}/ W

         Wₓ = W sin θ

         W_{y} = W cos θ

We replace

         Wₓ = fr

         W sin θ = μ Wcos θ

         tan θ = μ

If the coefficient of friction decreases the force of static friction decreases, ₓso the value of the tangent must decrease so the angle must decrease to maintain balance and that the system remains motionless or with constant speed

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Answer:

(a) Acceleration of female astronaut = 9.33*10^-12 m/s^2; Acceleration of male astronaut = 7.56*10^-12 m/s^2

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Explanation:

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Mass of male astronaut M_{2} = 74.0 kg

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(a) The free-body diagram is shown in the attached figure.

Using the equations below, the initial accelerations of the two astronauts can be calculated:

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G = 6.67*10^-11 \frac{m^{3} }{kg*s^{2} }

F = (6.67*10^-11 *60*74)/23^2 = 5.598*10^-10 N

For the female astronaut, her initial acceleration = F/M_{1} = 5.598*10^-10/60 = 9.33*10^-12 m/s^2

For the male astronaut, his acceleration = F/M_{2} = 5.598*10^-10/74 = 7.56*10^-12 m/s^2

(b) Since the different between their mass is not much, we can deduce that:

a_{average} = \frac{a_{1}+a_{2}}{2} = (9.33*10^-12 + 7.56*10^-12)/2 = 8.445*10^-12 m/s^2

Using the equation below, we can calculate the the time:

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(c) No, their accelerations will not be constant. It will increase because their radii would be decreasing.

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