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A lightweight spring with spring constant is attached to a block of mass on a frictionless, horizontal table. The block-spring system is initially in the equilibrium configuration. A second block of mass is then pushed against the first block, compressing the spring by as in Figure P16.77A. When the force on the second block is removed, the spring pushes both blocks to the right. The block loses contact with the spring-block 1 system when the block reaches the equilibrium configuration of the spring (Fig. P16.77B). 

(a) What is the subsequent speed of block 2?

(b) Compare the speed of block 1 when it again passes through the equilibrium position with the speed of block 2 found in part (a).

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Kath
KathLv10
22 Nov 2020

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A horizontal spring attached to a wall has a force constant of k=850 n/m. A block of mass m=1.0 kg is attached to the spring and rests on a frictionless, horizontal surface.

The block is pulled to a position xi=6.0 cm from equilibrium and released. Find the elastic potential energy stored in the spring when the block is 6.0 cm from equilibrium and when the block passes through equilibrium.

Part A.

Blocks A, B, and C are pushed across a frictionless table by a hand that exerts a constant horizontal force. Block A has mass 2M block B has mass 3M and block C has mass M.

a) Draw separate free-body diagrams for each of the three blocks. Clearly label the forces. in the spaces below, draw vectors to represent the net force on each block.
b) Draw the vectors with correct relative magnitudes.

Part B.

Blocks A and B are at rest on a level, frictionless surface. Block B is attached to an ideal massless spring of constant k, which is initially at its equilibrium length. Block B has greater mass than block A (mB > mA).

During the interval from t1 to t2 a hand pushes block A to the left with a constant force of magnitude F0, compressing the spring a distance as shown. At time t2, both blocks again have a speed of zero.

Consider system A consisting of block A and system BS consisting of block B and the spring.

c) During the interval from t1 to t2, is the absolute value of the net work done on system BS by external forces, greater than, less than, or equal to that done on system A by external forces?

 

 

At some later time, the hand is holding the blocks at rest with the spring compressed a distance d0. At time t3 the hand releases the blocks. At time t4, the spring returns to its equilibrium length and both blocks have speed vf, as shown.

Consider the interval from t3 to t4:

d) Is the change in kinetic energy of system BS greater than, less than, or equal to that of system A?
e) Is the change in total energy of system BS positive, negative, or zero?

c) During the interval from t1 to t2, is the absolute value of the net work done on system BS by external forces, greater than, less than, or equal to that done on system A by external forces?

 

 

At some later time, the hand is holding the blocks at rest with the spring compressed a distance d0. At time t3 the hand releases the blocks. At time t4, the spring returns to its equilibrium length and both blocks have speed vf, as shown.

Consider the interval from t3 to t4:

d) Is the change in kinetic energy of system BS greater than, less than, or equal to that of system A?
e) Is the change in total energy of system BS positive, negative, or zero?

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