You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 10-m-high hill, then descends 20 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 450 kg. For safety reasons, the spring constant should be 14% 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 to two significant figures and include the appropriate units. View Available Hint(s) k= Submit 01 Part B μA Value Previous Answers XIncorrect: Try Again: 4 attempts remaining НА Value What is the maximum speed of a 350 kg car if the spring is compressed the full amount? Express your answer to two significant figures and include the appropriate units. View Available Hint(s) A N A m @ O ? Units ?

You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 10-m-high hill, then descends 20 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 450 kg. For safety reasons, the spring constant should be 14% 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 to two significant figures and include the appropriate units. View Available Hint(s) k= Submit 01 Part B μA Value Previous Answers XIncorrect: Try Again: 4 attempts remaining НА Value What is the maximum speed of a 350 kg car if the spring is compressed the full amount? Express your answer to two significant figures and include the appropriate units. View Available Hint(s) A N A m @ O ? Units ?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter8: Conservation Of Energy

Section: Chapter Questions

Problem 75PQ: At 220 m, the bungee jump at the Verzasca Dam in Locarno, Switzerland, is one of the highest jumps...

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At 220 m, the bungee jump at the Verzasca Dam in Locarno, Switzerland, is one of the highest jumps on record. The length of the elastic cord, which can be modeled as having negligible mass and obeying Hookes law, has to be precisely tailored to each jumper because the margin of error at the bottom of the dam is less than 10.0 m. Kristin prepares for her jump by first hanging at rest from a 10.0-m length of the cord and is observed to stretch the rope to a total length of 12.5 m. a. What length of cord should Kristin use for her jump to be exactly 220 m? b. What is the maximum acceleration she will experience during her jump?
A block of mass 0.250 kg is placed on top of a light, vertical spring of force constant 5 000 N/m and pushed downward so that the spring is compressed by 0.100 m. After the block is released from rest, it travels upward and then leaves the spring. To what maximum height above the point of release does it rise?
A 6.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track. What is the force constant k of the spring?
A 6.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.700 m by a large spring bumper at the end of its track. What is the force constant k of the spring? .....N/m
Consider a Hot Wheels™ car with a mass of 121 g, that is pushed by a student along a track so that it is moving at 5 m/s. It hits a spring (k = 92.5 N/m) at the end of the track, causing it to compress. How far did the spring compress to bring the car to a stop? Calculate the answer in cm and make sure to include the unit. Report your final answer with three significant figures.
A 5.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? (Enter a number.) ? N/m
A 6.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? (Enter a number.)
An ideal spring with spring constant k has a mass m attached to it as shown. With a 100-N weight attached, the spring is extended 40 cm from the ceiling. With a 200-N weight instead it is extended 60 cm. Find the weight when the spring is extended 30 cm from the ceiling? Xo m Оа. 50 N O b. 10 N О с. 40 N O d. 60 N е. none of these
Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance yo, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 5.20 x 105 N/m, the helper spring constant is 3.70 x 105 N/m, and y, = 0.500 m. Truck body -"Helper" spring Main leaf spring Axle (a) What is the compression of the leaf spring for a load of 4.20 x 105 N? m (b) How much work is done in compressing the springs?
A 191 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 3.5 N/cm. The blockbecomes attached to the spring and compresses the spring 10.9 cm before momentarily stopping. What is the speed of the block just before it hits the spring (assume that friction is negligible)? (Your result must be in m/s and include 1 digit after the decimal point. Maximum of 5% of error is accepted in your answer. Take g=9.8 m/s2.)
A 50 g ice cube can slide without friction up and down a 30º slope. The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 13.0 cm. The spring constant is 25 N/m. When the ice cube is released, what distance (in cm) will it travel up the slope above the release point before reversing direction? Use g = 10 N/kg. In your calculations, make sure you convert to consistent units (kg and meters).
A 3.31-kg box placed against a horizontal spring with a force constant of k = 236 N/m compresses the spring 0.056 m. The spring is then released to accelerate the box across a smooth horizontal floor. Ignore friction and the mass of the spring. Calculate the speed of the box in m/s after it leaves the spring. give ans to 2 decimal places.