Mickey, a daredevil mouse of mass 0.0221 kg, is attempting to become the world's first "mouse cannonball." He is loaded into a spring-powered gun pointing up at some angle and is shot into the air. The gun's spring has a force constant of 86.3 N/m and is initially compressed a distance of 0.149 m from its relaxed position. If Mickey has a constant horizontal speed of 2.47 m/s while he is flying through the air, how high h above his initial location in the gun does Mickey soar? Assume g = 9.81 m/s². h =

Mickey, a daredevil mouse of mass 0.0221 kg, is attempting to become the world's first "mouse cannonball." He is loaded into a spring-powered gun pointing up at some angle and is shot into the air. The gun's spring has a force constant of 86.3 N/m and is initially compressed a distance of 0.149 m from its relaxed position. If Mickey has a constant horizontal speed of 2.47 m/s while he is flying through the air, how high h above his initial location in the gun does Mickey soar? Assume g = 9.81 m/s². h =

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 79PQ

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Consider the data for a block of mass m = 0.250 kg given in Table P16.59. Friction is negligible. a. What is the mechanical energy of the blockspring system? b. Write expressions for the kinetic and potential energies as functions of time. c. Plot the kinetic energy, potential energy, and mechanical energy as functions of time on the same set of axes. Problems 5965 are grouped. 59. G Table P16.59 gives the position of a block connected to a horizontal spring at several times. Sketch a motion diagram for the block. Table P16.59
An inclined plane of angle = 20.0 has a spring of force constant k = 500 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in Figure P6.61. A block of mass m = 2.50 kg is placed on the plane at a distance d = 0.300 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance is the spring compressed when the block momentarily comes to rest?
Use the data in Table P16.59 for a block of mass m = 0.250 kg and assume friction is negligible. a. Write an expression for the force FH exerted by the spring on the block. b. Sketch FH versus t.
An inclined plane of angle = 20.0 has a spring of force constant k = 500 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in Figure P7.47. A block of mass m = 2.50 kg is placed on the plane at a distance d = 0.300 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance is the spring compressed when the block momentarily comes to rest? Figure P7.47 Problems 47 and 48.
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In a laboratory experiment, 1 a block of mass M is placed on a frictionless table at the end of a relaxed spring of spring constant k. 2 The spring is compressed a distance x0 and 3 a small ball of mass m is launched into the block as shown in Figure P11.22. The ball and block stick together and are projected off the table of height h. Find an expression for the horizontal displacement of the ballblock system from the end of the table until it hits the floor in terms of the parameters given. FIGURE P11.22
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