A roller coaster of mass m rolls down a track with minimal friction. The starting height h1 is 55 m. The coaster starts from rest and is stopped at the end of the ride using a spring with a spring constant k = 7500 N/m. Sprine ONSTANT, K `CoMpRession is ay a) How fast is the coaster traveling just before it enters the loop? m/s b) How fast is the coaster traveling in miles/hr? There are 1.6 km in a mile. mile/h c) How high is the top of the loop (h2) if the coaster travels at 18 m/s at the very top of the loop?

A roller coaster of mass m rolls down a track with minimal friction. The starting height h1 is 55 m. The coaster starts from rest and is stopped at the end of the ride using a spring with a spring constant k = 7500 N/m. Sprine ONSTANT, K `CoMpRession is ay a) How fast is the coaster traveling just before it enters the loop? m/s b) How fast is the coaster traveling in miles/hr? There are 1.6 km in a mile. mile/h c) How high is the top of the loop (h2) if the coaster travels at 18 m/s at the very top of the loop?

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter5: Energy

Section: Chapter Questions

Problem 75AP: A light spring with spring constant 1.20 103 N/m hangs from an elevated support. From its lower end...

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A toy cannon uses a spring to project a 5.30-g soft rubber ball. The spring is originally compressed by 5.00 cm and has a force constant of 8.00 N/m. When the cannon is fired, the ball moves 15.0 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.032 0 N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? (b) At what point does the hall have maximum speed? (c) What is this maximum speed?
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A massless spring of constant k = 78.4 N/m is fixed on the left side of a level track. A block of mass m = 0.50 kg is pressed against the spring and compresses it a distance d, as in Figure P7.74. The block (initially at rest) is then released and travels toward a circular loop-the-loop of radius R = 1.5 m. The entire track and the loop-the-loop are frictionless, except for the section of track between points A and B. Given that the coefficient of kinetic friction between the block and the track along AB is k = 0.30 and that the length of AB is 2.5 m, determine the minimum compression d of the spring that enables the block to just make it through the loop-the-loop at point C. Hint: The force exerted by the track on the block will be zero if the block barely makes it through the loop-the-loop. Figure P7.74
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