hysics.com/myct/itemView?assignment ProblemID=1890287772WSYou have been hired to design a spring-launchedroller coaster that will carry two passengers per car.The car goes up a 13-m-high hill, then descends19 m to the track's lowest point. You've determinedthat the spring can be compressed a maximum of2.5 m and that a loaded car will have a maximummass of 450 kg. For safety reasons, the springconstant should be 15% larger than the minimumneeded for the car to just make it over the top.X3ED80F3C$4888F4ק|ר|RF%5VF5TG6B▼162023#/Part AYWhat spring constant should you specify?Express your answer with the appropriate units.View Available Hint(s)k= ValueSubmitPart BV =SubmitProvide FeedbackHWhat is the maximum speed of a 370 kg car if the spring is compressed the full amount?Express your answer with the appropriate units.► View Available Hint(s)%MacBook AirValue&7μÃμA 3A4F7UN3**8UnitsUnitsDIIFB1M(9www.K??DDFOCOOF10PF11U[

The height car can goes high (∆h)= 13 mThe descending height to the track's lowest point = 19…

You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 13-m-high hill, then descends 19 m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.5 m and that a loaded car will have a maximum mass of 450 kg. For safety reasons, the spring constant should be 15% 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= Value Submit Part B U= HA What is the maximum speed of a 370 kg car if the spring is compressed the full amount? Express your answer with the appropriate units. View Available Hint(s) Value Submit HÅ Units Units C ? www ?

You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 13-m-high hill, then descends 19 m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.5 m and that a loaded car will have a maximum mass of 450 kg. For safety reasons, the spring constant should be 15% 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= Value Submit Part B U= HA What is the maximum speed of a 370 kg car if the spring is compressed the full amount? Express your answer with the appropriate units. View Available Hint(s) Value Submit HÅ Units Units C ? www ?

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

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 61P: An inclined plane of angle = 20.0 has a spring of force constant k = 500 N/m fastened securely at...

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In the reality television show “Amazing Race” (https://openstaxcollege.org/l/2lamazraceclip), a contestant is firing 12-kg watermelons from a slingshot to hit targets down the field. The slingshot is pulled back 1.5 m and the watermelon is considered to be at ground level. The launch point is 0.3 m from the ground and the targets are 10 m horizontally away. Calculate the spring constant of the slingshot.
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?
The Flybar high-tech pogo stick is advertised as being capable of launching jumpers up to 6 ft. The ad says that the minimum weight of a jumper is 120 lb and the maximum weight is 250 lb. It also says that the pogo stick uses a patented system of elastometric rubber springs that provides up to 1200 lbs of thrust, something common helical spring sticks simply cannot achieve (rubber has 10 times the energy storing capability of steel). a. Use Figure P8.32 to estimate the maximum compression of the pogo sticks spring. Include the uncertainty in your estimate. b. What is the effective spring constant of the elastometric rubber springs? Comment on the claim that rubber has 10 times the energy-storing capability of steel. c. Check the ads claim that the maximum height a jumper can achieve is 6 ft.
Why is the following situation impossible? In a new casino, a supersized pinball machine is introduced. Casino advertising boasts that a professional basketball player can lie on top of the machine and his head and feet will not hang off the edge! The ball launcher in the machine sends metal balls up one side of the machine and then into play. The spring in the launcher (Fig. P6.60) has a force constant of 1.20 N/cm. The surface on which the ball moves is inclined = 10.0 with respect to the horizontal. The spring is initially compressed its maximum distance d = 5.00 cm. A ball of mass 100 g is projected into play by releasing the plunger. Casino visitors find the play of the giant machine quite exciting.
The spring constant of an automotive suspension spring increases with increasing load due to a spring coil that is widest at the bottom, smoothly tapering to a smaller diameter near the top. The result is a softer ride on normal road surfaces from the wider coils, but the car does not bottom out on bumps because when the lower coils collapse, the stiffer coils near the top absorb the load. For such springs, the force exerted by the spring can be empirically found to be given by F = axb. For a tapered spiral spring that compresses 12.9 cm with a 1 000-N load and 31.5 cm with a 5 000-N load, (a) evaluate the constants a and b in the empirical equation for F and (b) find the work needed to compress the spring 25.0 cm.
A small 0.65-kg box is launched from rest by a horizontal spring as shown in Figure P9.50. The block slides on a track down a hill and comes to rest at a distance d from the base of the hill. The coefficient of kinetic friction between the box and the track is 0.35 along the entire track. The spring has a spring constant of 34.5 N/m, and is compressed 30.0 cm with the box attached. The block remains on the track at all times. a. What would you include in the system? Explain your choice. b. Calculate d. c. Compare your answer with your answer to Problem 50 if you did that problem.
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).
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