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What would be the length of the spring in a situation similar to diagram C above if the car were accelerating upward at a rate of 9.8 m/s^2?

a. 1.7 cm
b. 4.9 cm
c. 13.3 cm
d. 2.6 cm

What would be the length of the spring in a situation similar to diagram C above if the car were accelerating upward at a rate of 12.4 m/s^2?
a. 14.6 cm
b. 11.2 cm
c. 8.3 cm
d. 9.9 cm

What would be the length of the spring in a situation similar to diagram C above if the car were accelerating upward at a rate of 6.6 m/s^2?
a. 11.7 cm
b. 5.8 cm
c. 7.5 cm
d. 3.4 cm

User Jerve
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1 Answer

5 votes

Final answer:

The questions lack context for a specific answer, as details about the spring system's force constant and unstretched length are needed. The provided references are not sufficient to address the questions regarding the spring's length under varying acceleration conditions.

Step-by-step explanation:

The questions provided seem to be related to the physical behavior of a spring system under different acceleration conditions, as well as the calculation of the spring's force constant and unloaded length. However, they lack sufficient context (such as a specific diagram or initial condition details) for an accurate and complete answer.

For example, calculating the length of a spring during an acceleration would typically require knowledge of the spring's force constant, the mass being accelerated, and the initial unstretched length of the spring.

The given reference information does not match the questions asked. To calculate the length of the spring during acceleration, the equations of motion for an object in an accelerated frame and the force balance on the mass attached to the spring would be used, involving Newton's Second Law and Hooke's Law for the spring force.

Your complete question is: To answer the questions below, it may be useful to think of your friend's car driving on a level road on the surface of the Earth, or maybe in space accelerating upwards at 9.8 m/s2 (or some other rate of acceleration, depending on the question). 1) Rearview mirror Spring Fuzzy dice Your friend starts out by hanging is fuzzy dice from a spring. On the surface of the Earth, he finds the length of the spring to be 8.4 cm. With his car drifting in space (as in diagram B, above) he finds the length of the spring to be 3.5 cm. What would be the length of the spring in a situation similar to diagram C above, if the car were accelerating upward at a rate of 9.8 m/s?? cm Submit + 2) What would be the length of the spring in a situation similar to diagram C above if the car were accelerating upward at a rate of 12.4 m/s2? cm Submit + 3) What would be the length of the spring in a situation similar to diagram C above if the car were accelerating upward at a rate of 6.6 m/s?? cm Submit Next your friend replaces the spring with a string (that does not stretch). Your friend is driving at constant speed on a level road on the surface of the Earth. You are sitting in the middle of the back seat. When you look forward you see something similar to the diagram above. Then your friend does something different. Looking straight ahead at the rearview mirror, you see something similar to the diagram below. Rearview mirror String Fuzzy dice 6) In the diagram in question 4, the angle between the string and the vertical line is theta = 26 degrees. What is the normal component (also known as the radial component) of the acceleration of the car at this time? [HINT: It might (and then again it might not) be useful to imagine this happening in space with a car that is accelerating upward and in a radial direction.] m/s2 Submit 7) At the time shown in the diagram at the bottom of question 4, the car was going around a curve with a radius of curvature of 45 m. What was the speed of the car? m/s Submit

User Bryan Head
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