2. A 20.0-kg block is connected to a 30.0-kg block by a string that passes over a light frictionless pulley. The 30.0- kg block is connected to a spring that has negligible mass and a force constant of 250 N/m, as shown in the Figure. The spring is upstretched when the system is as shown in the figure, and the incline is frictionless. The 20.0-kg block is pulled 20.0 cm down the incline (so that the 30.0-kg block is 40.0 cm above the floor) and released from rest. Find the 20.0 kg 30.0 kg 20.0 cm | 40.0° speed of each block when the 30.0-kg block is 20.0 cm above the floor (that is, when the spring is upstretched).

2. A 20.0-kg block is connected to a 30.0-kg block by a string that passes over a light frictionless pulley. The 30.0- kg block is connected to a spring that has negligible mass and a force constant of 250 N/m, as shown in the Figure. The spring is upstretched when the system is as shown in the figure, and the incline is frictionless. The 20.0-kg block is pulled 20.0 cm down the incline (so that the 30.0-kg block is 40.0 cm above the floor) and released from rest. Find the 20.0 kg 30.0 kg 20.0 cm | 40.0° speed of each block when the 30.0-kg block is 20.0 cm above the floor (that is, when the spring is upstretched).

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

Chapter7: Conservation Of Energy

Section: Chapter Questions

Problem 83P

See similar textbooks

Similar questions

Review. This problem extends the reasoning of Problem 41 in Chapter 9. Two gliders are set in motion on an air track. Glider 1 has mass m1 = 0.240 kg and moves to the right with speed 0.740 m/s. It will have a rear-end collision with glider 2, of mass m2 = 0.360 kg, which initially moves to the right with speed 0.120 m/s. A light spring of force constant 45.0 N/m is attached to the back end of glider 2 as shown in Figure P9.41. When glider 1 touches the spring, superglue instantly and permanently makes it stick to its end of the spring. (a) Find the common speed the two gliders have when the spring is at maximum compression. (b) Find the maximum spring compression distance. The motion after the gliders become attached consists of a combination of (1) the constant-velocity motion of the center of mass of the two-glider system found in part (a) and (2) simple harmonic motion of the gliders relative to the center of mass. (c) Find the energy of the center-of-mass motion. (d) Find the energy of the oscillation.
Check Your Understanding How high above the bottom of its arc is the particle in the simple pendulum above, when its speed is 0.81 m/s?
As a 75.0-kg man steps onto a bathroom scale, the spring inside the scale compresses by 0.650 mm. Excited to see that he has lost 2.50 kg since his previous weigh-in, the man jumps 0.300 m straight up into the air and lands directly on the scale. (a) What is the springs maximum compression? (b) If the scale reads in kilograms, what reading does it give when the spring is at its maximum compression?
In a needle biopsy, a narrow strip of tissue is extracted from a patient with a hollow needle. Rather than being pushed by hand, to ensure a clean cut the needle can be fired into the patients body by a spring. Assume the needle has mass 5.60 g, the light spring has force constant 375 N/m, and the spring is originally compressed 8.10 cm to project the needle horizontally without friction. The tip of the needle then moves through 2.40 cm of skin and soft tissue, which exerts a resistive force of 7.60 N on it. Next, the needle cuts 3.50 cm into an organ, which exerts a backward force of 9.20 N on it. Find (a) the maximum speed of the needle and (b) the speed at which a flange on the back end of the needle runs into a stop, set to limit the penetration to 5.90 cm.
• 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?
A 12.0 g bullet is fired horizontally at 450 m/s towarda stationary 5.00 kg wood block on a frictionlesssurface that is attached to a horizontal spring whoseforce constant is 330 N/m. The bullet is embedded into the wood after impact and causes the block to compress the spring. What is the maximumdistance to which the spring is compressed?
Initially sliding with a speed of 4.3 m/sm/s, a 2.0 kg block collides with a spring and compresses it 0.42 mm before coming to rest.What is the force constant of the spring?
A block slides on a rough horizontal surface. The block hits a spring with a speed of 2.00 m/s and compresses it adistance of 11.0 cm before coming to rest. If the force constant of the spring is 415 N/m and the mass of the block is1.8 kg, what is the coefficient of kinetic friction between the block and the surface?
A 2.00kg block is pushed against a spring with negligible mass and force constant k = 435 N/m , compressing it 0.215 m. When the block is released, it moves along a frictionless, horizontal surface. Find its velocity after the release?
An archer draws her bow and stores 34.8 J of elastic potential energy inthe bow. She releases the 63 g arrow, giving it an initial speed of 28 m/s.How efficient is the transfer of elastic potential energy of the bow to thekinetic energy of the arrow?
The block in the figure below rests on a frictionless surface. Find its instantaneous acceleration when the spring on the left is compressed 4.47 cm while the spring on the right is stretched 12.1 cm. Each spring has a force constant of 1.09 103 N/m. magnitude: direction: to the right
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?