63. A 10.0-kg block is released from rest at point in Fig- Mure P8.63. The track is frictionless except for the por- tion between points and ©, which has a length of 6.00 m. The block travels down the track, hits a spring of force constant 2 250 N/m, and compresses the spring 0.300 m from its equilibrium position before coming to rest momentarily. Determine the coefficient of kinetic friction between the block and the rough surface between points and ©. 3.00 m 6.00 m- B) Figure P8.63

63. A 10.0-kg block is released from rest at point in Fig- Mure P8.63. The track is frictionless except for the por- tion between points and ©, which has a length of 6.00 m. The block travels down the track, hits a spring of force constant 2 250 N/m, and compresses the spring 0.300 m from its equilibrium position before coming to rest momentarily. Determine the coefficient of kinetic friction between the block and the rough surface between points and ©. 3.00 m 6.00 m- B) Figure P8.63

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 34PQ: A small ball is tied to a string and hung as shown in Figure P8.34. It is released from rest at...

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A small ball is tied to a string and hung as shown in Figure P8.34. It is released from rest at position 1, and, during the swing, the string meets a fixed peg as shown. Explain why position 2 at which the ball comes momentarily to rest must be at the same height as position 1.
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.
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?
A 2.35-kg uniform bar oflength l = 1.30 m is heldin a horizontal position bythree vertical springs as inFigure P8.83. The two lowersprings are compressed andexert upward forces on thebar of magnitude F1= 6.80 Nand F2 = 9.50 N, respectively.Find (a) the force Fs exertedby the top spring on the bar,and (b) the location x of the upper spring that will keep thebar in equilibrium.
A 0.650 kgkg block is attached to a spring with spring constant 14.0 N/mN/m. While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 46.0 cm/scm/s. What is the block's speed at the point where x=0.20 A?
A 2-kg box, moving along a horizontal frictionless surface, hits a spring (k = 5200 N/m) on the other end at a speed of 10 m/s. How long the spring is compressed when the box brought to rest?
A 6.2-kg block is attached to a vertical spring with a spring constant 800 N/m. How much elastic potential energy is stored in the system?
A pitcher supplies a power of P = 203 W to a baseball of mass m = 0.095 kg for a period of t = 0.29 s. speed when the ball leaves his hand in m/s.
• A 1.80-kg block slides on a rough horizontal surface. The blockhits a spring with a speed of 2.00 m>s and compresses it a distanceof 11.0 cm before coming to rest. If the coefficient of kinetic friction between the block and the surface is mk = 0.560, what is theforce constant of the spring?
Consider a springwith a force constant of 955 N>m. (a) Suppose the mass of theblock is 1.70 kg, but its initial speed can be varied. What initial speedis required to give a maximum spring compression of 4.00 cm?(b) Suppose the initial speed of the block is 1.09 m>s, but its masscan be varied. What mass is required to give a maximum springcompression of 4.00 cm?
A 2 kg block is launched up a frictionless inclined plane by a spring as shown in the figure. The plane is inclined at 300, and the spring constant is 1000N/m. The block is initially pushed against the spring in order to compress the spring 0.1 m, and then it is released.a) Calculate the magnitude and direction of the acceleration of the block the moment after it is released.b) Calculate the acceleration when the spring reaches the point where its compression is 0.05 m.c) What are the magnitude and direction of the acceleration when the spring reaches the point where itscompression is zero?
A 1.60 kg block slides on a rough horizontal surface. The block hits a spring with a speed of 2.10 m/sm/s and compresses it a distance of 11.0 cm before coming to rest. If the coefficient of kinetic friction between the block and the surface is 0.460, what is the force constant of the spring?