You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 12-m-high hill, then descends 15 m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.1 m and that a loaded car will have a maximum mass of 400 kg. For safety reasons, the spring constant should be 12% larger than the minimum needed for the car to just make it over the top. ▾ ▼ Part A What spring constant should you specify? Express your answer with the appropriate units. ▸ View Available Hint(s) k= 2.4x104 N Submit Previous Answers ✓ Correct Correct answer Part B What is the maximum speed of a 340 kg car if the spring is compressed the full amount? Express your answer with the appropriate units. ▸ View Available Hint(s) F v=18 Submit shown. Your answer 23893 was either rounded differently or used a different number of significant figures than required for this part. N m μA Previous Answers m S C ? * Incorrect; Try Again; & attempts remaining Be sure to find the velocity of the car specifically of 340 kg.

You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 12-m-high hill, then descends 15 m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.1 m and that a loaded car will have a maximum mass of 400 kg. For safety reasons, the spring constant should be 12% larger than the minimum needed for the car to just make it over the top. ▾ ▼ Part A What spring constant should you specify? Express your answer with the appropriate units. ▸ View Available Hint(s) k= 2.4x104 N Submit Previous Answers ✓ Correct Correct answer Part B What is the maximum speed of a 340 kg car if the spring is compressed the full amount? Express your answer with the appropriate units. ▸ View Available Hint(s) F v=18 Submit shown. Your answer 23893 was either rounded differently or used a different number of significant figures than required for this part. N m μA Previous Answers m S C ? * Incorrect; Try Again; & attempts remaining Be sure to find the velocity of the car specifically of 340 kg.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Conservation Of Energy

Section: Chapter Questions

Problem 79P: A block of mass 0.500 kg is pushed against a horizontal spring of negligible mass until the spring...

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In the movie Monty Python and the Holy Grail (https://openstaxcollege. org/l/21monpytmovcl) a cow is catapulted from the top of a castle wall over to the people down below. The gravitational potential energy is set to zero at ground level. The cow is launched from a spring of spring constant 1.1 104 N/m that is expanded 0.5 m from equilibrium. If the castle is 9.1 m tall and the mass of the cow is 110 kg, (a) what is the gravitational potential energy of the cow at the top of the castle? (b) What is the elastic spring energy of the cow before the catapult is released? (c) What is the speed of the cow right before it lands on the ground?
In a Coyote/Road Runner cartoon clip (https://openstaxcollege.org/l/21coyroadcarcl), a spring expands quickly and sends the coyote into a rock. If the spring extended 5 m and sent the coyote of mass 20 kg to a speed of 15 m/s, (a) what is the spring constant of this spring? (b) If the coyote were sent vertically into the air with the energy given to him by the spring, how high could he go if there were no non-conservative forces?
Calculate the elastic potential energy of a spring with spring constant k = 225 N/m that is (a) compressed and (b) stretched by 1.00 102 m.
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Consider a block of mass 0.200 kg attached to a spring of spring constant 100 N/m. The block is placed on a frictionless table, and the other end of the spring is attached to the wall so that the spring is level with the table. The block is then pushed in so that the spring is compressed by 10.0 cm. Find the speed of the block as it crosses (a) the point when the spring is not stretched, (b) 5.00 cm to the left of point in (a), and (c) 5.00 cm to the right of point in (a).
An electric scooter has a battery capable of supplying 120 Wh of energy. If friction forces and other losses account for 60.0% of the energy usage, what altitude change can a rider achieve when driving in hilly ter-rain if the rider and scooter have a combined weight of 890 N?
A block of mass 0.500 kg is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x (Fig. P7.79). The force constant of the spring is 450 N/m. When it is released, the block travels along a frictionless, horizontal surface to point , the bottom of a vertical circular track of radius R = 1.00 m, and continues to move up the track. The blocks speed at the bottom of the track is = 12.0 m/s, and the block experiences an average friction force of 7.00 N while sliding up the track. (a) What is x? (b) If the block were to reach the top of the track, what would be its speed at that point? (c) Does the block actually reach the top of the track, or does it fall off before reaching the top?
A 500-kg dragster accelerates from rest to a final speed of 110 m/s in 400 m (about a quarter of a mile) and encounters an average frictional force of 1200 N. What is its average power output in watts and horsepower if this takes 7.30s?
Two students throw identical snowballs from the same height; both snowballs having the same initial speed vo ( Fig. 4.25). Which snowball has the greater speed on striking the level ground at the bottom of the slope? Justify your answer using energy considerations. Figure 4.25 Away They Go! See Short Answer Question 16.
True or False: The elastic potential energy of a stretched or compressed spring is always positive.
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Check Your Understanding The spring Example 7.5 is compressed 6 cm from its equilibrium length. (a) Does the spring force do positive or negative work and (b) what is the magnitude?