College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- 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.)arrow_forward4. Suppose a block of mass m slides over a surface with kinetic friction coef- ficient towards a spring with spring constant k. The block reaches the spring with spring with speed vo. (a) How far is the spring compressed at maximum compression? Give your answer in terms of m, k, lk, and vo. (b) What is an expression for the maximum value that v。 could be in order for the spring to remain maximally compressed, no matter what material the block and surface are? Give your answer in terms of m, k, pk. Hint: the coefficient of static friction is always greater than the coefficient of kinetic friction.arrow_forwardConsider 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.arrow_forward
- A 3.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.800 m by a large spring bumper at the end of its track. What is the force constant k of the spring? N/marrow_forwardA 1.72 kg box falls from a height of 2.19 m onto a large capacity spring scale with a spring constant of 1.75 × 105. N compression, the reading on the scale is m O 1720 N. O 37.0 N. O 7180 N. O 3590 N. O 12.8 N. At its greatestarrow_forwardIn the figure below, a block of m= mass 19 kg is released from rest on a frictionless incline angled of angle theta= 30 degrees. Below the block is a spring that can be compressed 2.0cm by a force of 240 N. The block momentairly stops when it compresses the spring by 5.6cm. A) How far has the block moved down the incline to this stopping point? B) What is the speed of the block just as it touches the spring?arrow_forward
- A 700,000 g roller coaster car traveling at 70.0 mph is stopped by a spring with a spring constant of 50,000 N/m. by how much does the spring compress in stopping the car?arrow_forwardA 500 g particle has velocity vx = -8.0 m/s at t =-2 s. Force Fx=(4−t^2)N, where t is in s, is exerted on the particle between t=−2s and t = 2 s. This force increases from 0 N at t = -2 s to 4 N at t = 0 s and then back to 0 N at t = 2 s. What is the particle's velocity at t=2 s?arrow_forwardA 4.4 × 105 kg subway train is brought to a stop from a speed of 0.55 m/s in 0.54 m by a large spring bumper at the end of its track. What is the force constant k of the spring in N/m?arrow_forward
- A block of mass 2.9 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 470 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 13°. a) The block, starting from rest, slides down the ramp a distance 54 cm before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest? b) After the block comes to rest, the spring pushes the block back up the ramp. How fast, in meters per second, is the block moving right after it comes off the spring? c) What is the change of the gravitational potential energy, in joules, between the original position of the block at the top of the ramp and the position of the block when the spring is fully compressed?arrow_forwardTruck 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 4.80 x 10° N/m, the helper spring constant is 3.80 x 10° 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 5.10 x 10° N? 0 81 (b) How much work is done in compressing the springs? 1 34 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J Need Help? Read Itarrow_forwardA toy cannon uses a spring to project a 5.35-g soft rubber ball. The spring is originally compressed by 4.94 cm and has a force constant of 8.07 N/m. When the cannon is fired, the ball moves 15.8 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.032 8 N on the ball. (a) With what speed does the projectile leave the barrel of the cannon? m/s (b) At what point does the ball have maximum speed? cm (from its original position) (c) What is this maximum speed? m/s Need Help? Read It Watch Itarrow_forward
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