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kondor19780726 [428]
2 years ago
9

A light spring obeys Hooke's law. The spring's unstretched length is 34.0 cm. One end of the spring is attached to the top of a

doorframe and a weight with mass 7.00 kg is hung from the other end. The final length of the spring is 44.5 cm. (a) Find its spring constant (in N/m).
Physics
1 answer:
sleet_krkn [62]2 years ago
5 0

When the spring is extended by 44.5 cm - 34.0 cm = 10.5 cm = 0.105 m, it exerts a restoring force with magnitude R such that the net force on the mass is

∑ F = R - mg = 0

where mg = weight of the mass = (7.00 kg) g = 68.6 N.

It follows that R = 68.6 N, and by Hooke's law, the spring constant is k such that

k (0.105 m) = 68.6 N   ⇒   k = (68.6 N) / (0.105 m) ≈ 653 N/m

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Answer:

Explanation:

Gravity is a field force since the earth does not have to actually “touch” an object to pull it toward the earth. A magnetic force is a field force that attracts or repels another magnet. Likewise, electric charges cause attracting or repelling forces without actual contact between the charges

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The power needed to operate your body is about 100 watts. Suppose a human body (of typical mass) could run on fusion power and c
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Answer:

5.04\times10^{16}J  of energy is available through fusion .

Explanation:

let us consider weight of the human body on an average be 70 kg .

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Help FAST PLSS!!!
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Answer:1.) 2 seconds

2.) 4.5 hertz

3.) it will become one third is original value

4.)5.9 seconds

5.)0.87 meters

Explanation:

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3 years ago
The James Webb Space Telescope is positioned around 1.5 million kilometres from the Earth on the side facing away from the Sun.
Bad White [126]

The angular velocity depends on the length of the orbit and the orbital

speed of the telescope.

Response:

First question:

  • The angular velocity of the telescope is approximately <u>0.199 rad/s</u>

Second question:

  • The telescope should accelerates away by approximately F = <u>0.0005·m </u>

Third question:

  • <u>The pulling force between the Earth and the satellite</u>

<h3>What equations can be used to calculate the velocity and forces acting on the telescope?</h3>

The distance of the James Webb telescope from the Sun = 1.5 million kilometers from Earth on the side facing away from the Sun

The orbital velocity of the telescope = The Earth's orbital velocity

First question:

Angular \ velocity = \mathbf{\dfrac{Angle \ turned}{Time \ taken}}

The orbital velocity of the Earth = 29.8 km/s

The distance between the Earth and the Sun = 148.27 million km

The radius of the orbit of the telescope = 148.27 + 1.5 = 149.77

Radius of the orbit, r = 149.77 million kilometer from the Sun

The length of the orbit of the James Webb telescope = 2 × π × r

Which gives;

r = 2 × π × 149.77 million kilometers ≈ 941.03 million kilometers

Therefore;

Angular \ velocity = \dfrac{29.8}{941.03}\times 2 \times \pi \approx 0.199

  • The angular velocity of the telescope, ω ≈ <u>0.199 rad/s</u>

Second question:

Centrifugal force force, F_{\omega} = m·ω²·r

Which gives;

F_{\omega} = m \cdot \dfrac{28,500^2 \, m^2/s^2}{149.77 \times 10^9 \, m} \approx 0.0054233 \cdot m

Gravitational \ force,  F_G = \mathbf{G \cdot \dfrac{m_{1} \cdot m_{2}}{r^{2}}}

Universal gravitational constant, G = 6.67408 × 10⁻¹¹ m³·kg⁻¹·s⁻²

Mass of the Sun = 1.989 × 10³⁰ kg

Which gives;

F_G = 6.67408 \times 10^{-11} \times \dfrac{1.989 \times 10^{30} \times m}{149.77 \times 10^9} \approx   0.00592 \cdot m

Which gives;

F_{\omega} < F_G, therefore, the James Webb telescope has to accelerate away from the Sun

F = \mathbf{F_{\omega}} - \mathbf{F_G}

The amount by which the telescope accelerates away is approximately 0.00592·m - 0.0054233·m ≈ <u>0.0005·m (away from the Sun)</u>

Third part:

Other forces include;

  • <u>The force of attraction between the Earth and the telescope </u>which can contribute to the the telescope having a stable orbit at the given speed.

Learn more about orbital motion here:

brainly.com/question/11069817

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