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irina [24]
3 years ago
13

Jupiter, the largest planet in the solar system, has an equatorial radius of about 7.1 x 10^4km (more than 10 times that of Eart

h). Its period of rotation, however, is only 9h, 50 min. That means that every point on Jupiter's equator "goes around the planet" in that interval of time. Calculate the average speed (in m/s) of an equatorial point during one period of Jupiter's rotation. Is the average velocity different from the average speed in this case?
Physics
1 answer:
Zarrin [17]3 years ago
6 0

Answer:

The average speed is v  = 1260 \  km/s

The average speed is different from the average velocity in this question

Explanation:

From the question we are told that

   The equatorial  radius of Jupiter is  R_j = 7.1*10^{4} \  km

   The period of oscillation of Jupiter is T_J = 9 \ hours , 50 \ min = 35400 \  seconds

Generally the average speed is mathematically represented as

      v  = \frac{2 \pi * R_j }{T_J}

=>   v  = \frac{2 *3.142  * 7.1*10^{4} }{35400}

=>   v  = 1260 \  km/s

Generally in average speed the direction is not considered while in average velocity the direction is considered for the  case of this question the movement equitorial point has no direction in that it start from one point and after its periodic motion it still remains at that point

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A circular steel wire 3.00 mm long must stretch no more than 0.25 cmcm when a tensile force of 780 NN is applied to each end of
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Minimum diameter is required for the wire is 1.2X10⁻³m.

Tensile force, which consists of tensile stress and tensile strain, is the stretching force exerted on the material. This indicates that the forces are attempting to stretch the material that is subject to the force since it is under tension.

Given;

Tensile force (ft) = 780 N

length (l) = 3.00 mm

change in length (Δl) = 0.25 cm

determine the strain ε = Δl/l

determine the stress σ = Eε = E(Δl/l)

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take Young's modulus for steel E=200 GPa, Substitute the values,

d = \sqrt[2]{\frac{x780X2}{y200X10^{9} X 0.0025\pi } } = 1.2X10⁻³

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Learn more about the Tensile force with the help of the given link:

brainly.com/question/4443489

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I understand that the question you are looking for is "A circular steel wire 3.00 cm long must stretch no more than 0.25 cm when a tensile force of 780 N is applied to each end of the wire. What minimum diameter is required for the wire?"

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At an amusement park, a swimmer uses a water slide to enter the main pool. a. If the swimmer starts at rest, slides with negligi
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Answer:

a)6.7m/S

b)6.8m/s

Explanation:

Hello ! To solve the point b you must follow the steps below

1.Draw the slide taking into account its length and height and find the angle from which the swimmer is launched (see attached image)

2. Find the horizontal velocity (X) and vertical (Y) components (see attached image)

3) for the third step we must remember that as in the slide there is no horizontal acceleration the speed in X will remain constant at the end of the swimmer's path (Vx = 0.59m / s)

4)

the fourth step is to remember that vertically there is constant acceleration called gravity (g = 9.81m / s ^ 2), so to find the speed at the end of the route we use the following equation

Vfy= \sqrt{Vy^2+2gy}

where    

Vfy= final verticaly speed    

Vy=initial verticaly speed=0.59m/S

g=gravity=9.81m/S^2

y=height of slide=2.31m

solving

Vfy= \sqrt{Vy^2+2gy}\\Vfy= \sqrt{(0.59)^2+2(9.81)(2.31)}=6.77m/s

The last step is to add the velocity components vectorally at the end of the route with the following equation

V=\sqrt{Vfy^2+Vx^2} =\sqrt{6.77^2+0.59^2} =6.8m/s

point A

taking into account the previous steps we can infer that as the swimmer starts from rest, the velocity (Vx=Vy=O) is zero, so we should only use the formula for constant acceleration movement.

Vfy= \sqrt{Vy^2+2gy}

vy=0

Vfy=\sqrt{2gy}

Vfy=\sqrt{2(9.81)(2.31)}=6.7m/s

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