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patriot [66]
4 years ago
14

In an ideal pulley system, a woman lifts a 100-n crate by pulling a rope downward with a force of 25 n. for every one-meter leng

th of rope she pulls downward, the crate rises _______.
Physics
1 answer:
kvv77 [185]4 years ago
5 0
<span>We can use conservation of energy to solve this question. The woman increases the potential energy of the box by applying her force over a certain distance. The work that the woman does is force * distance. The work the woman does is 25 N * 1 meters = 25 Joules. 25 Joules is the increase in potential energy of the box. 100 * distance of the box = 25 distance of the box = 0.25 meters Therefore, for every one meter the woman pulls downward, the box rises a distance of 0.25 meters.</span>
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Long Jump: inital center of mass height of 1.08 m, final center of mass height of 0.42 m, projection velocity of 8.7 m/s, projec
sammy [17]

Answer:

1) The maximum jump height is reached at A. 0.337s

2) The maximum center of mass height off of the ground is B. 1.64m

3) The time of flight is C. 0.834s

4) The distance of jump is B. 7.49m

Explanation:

First of all we need to decompose velocity in its rectangular components, so

v_{xi}=8.7m/s(cos 22.3\°)=8.05m/s= constant\\v_{yi}=8.7m/s(sin 22.3\°)=3.3m/s

1) We use, v_{fy}=v_{iy}-gt, as we clear it for t and using the fact that v_{fy}=0 at max height, we obtain t=\frac{v_{iy}}{g} =\frac{3.3m/s}{9,8m/s^{2}} =0.337s

2) We can use the formula y_{max}=y_{i}+v_{iy}t-\frac{gt^{2}}{2} for t=0.337s, so

y_{max}=1.08m+(3.3m/s)(0.337s)-\frac{(9.8m/s^{2})(0.337)^{2}}{2}=1.64m

3) We can use the formula y_{f}=y_{i}+v_{iy}t-\frac{gt^{2}}{2}, to find total time of fligth, so 0.42=1.08+3.3t-\frac{(9.8)t^{2}}{2}\\0=-4.9t^{2}+3.3t+0.66, as it is a second-grade polynomial, we find that its positive root is t=0.834s

4) Finally, we use x=v_{x}t=8.05m/s(0.834s)=6.71m, as it has an additional displacement of 0.77m due the leg extension we obtain,

x=6.71m+0.77m=7.48m, aprox x=7.49m

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a microwave uses a 14 a of electricity if 120 v is run through it what is the resistance of the microwave
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Resistance = voltage / current.

That's. 120v / 14A = 8.57 ohms.

By the way, voltage doesn't "run through" anything. Current does. That would be the 14 Amps.
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