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10 Nov 2019

A light spring of force constant 3.85N/m is compressed by 8.00 cmand held between a .250 kg block on the left and a .500 kg block onthe right. Both blocks are at rest on a horizontal surface. Theblocks are released simultaneously so that the spring tends to pushthem apart. What is the maximum velocity each block attains if thecoefficient of kinetic friction between each block and the surfaceis:

A) 0
B) .100
C) .463

Assume that the coefficient of static friction is larger than thatfor kinetic friction

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Deanna Hettinger
Deanna HettingerLv2
14 Oct 2019
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Related textbook solutions

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

Related questions

A light spring of force constant 3.85N/m is compressed by 8.00 cmand held between a .250 kg block on the left and a .500 kg block onthe right. Both blocks are at rest on a horizontal surface. Theblocks are released simultaneously so that the spring tends to pushthem apart. What is the maximum velocity each block attains if thecoefficient of kinetic friction between each block and the surfaceis:

A) 0
B) .100
C) .463

Assume that the coefficient of static friction is larger than thatfor kinetic friction

Hint:

In the part where there is friction you know that ;

-fk.d= (Uf+Kf)- (Ui+Ki)

d= 0.08-x ; (0.08 being the compressed distance)

You have to get the frictions for the two blocks, you already knowthe force of the spring.
For the heavier block the force of the spring will be smaller thanthe friction fk, so the heavier block will stand still, and thefrictional force exerted by the floor change the momentum of thetwo blocks system. The light block will gain speed as long as thespring force is larger than the friction force, that is until thespring compresses and the magnitude of the spring force:
Fs= kx =fk (lighter spring)

A light spring of force constant 3.85N/m is compressed by 8.00 cmand held between a .250 kg block on the left and a .500 kg block onthe right. Both blocks are at rest on a horizontal surface. Theblocks are released simultaneously so that the spring tends to pushthem apart. What is the maximum velocity each block attains if thecoefficient of kinetic friction between each block and the surfaceis:

A) 0
B) .100
C) .463

Assume that the coefficient of static friction is larger than thatfor kinetic friction

Hint:

In the part where there is friction you know that ;

-fk.d= (Uf+Kf)- (Ui+Ki)

d= 0.08-x ; (0.08 being the compressed distance)

You have to get the frictions for the two blocks, you already knowthe force of the spring.
For the heavier block the force of the spring will be smaller thanthe friction fk, so the heavier block will stand still, and thefrictional force exerted by the floor change the momentum of thetwo blocks system. The light block will gain speed as long as thespring force is larger than the friction force, that is until thespring compresses and the magnitude of the spring force:
Fs= kx =fk (lighter spring)

Answers:

A) -.256 m/s and .128 m/s
b) .0642 m/s and 0
c) 0 and 0

 Review. A light spring of force constant 3.85N/m is compressed by 8.00 cm and held between a 0.250 kg block on the left and a 0.500-kg block on the right. Both blocks are at rest on a hrizontal surface. The blocks are released simultaneously so that the spring tends to push them apart. Find the maximum velocity each block attains if the coefficient of kinetic friction between each block and the surface is

(a) 0, (b) 0.110, and (c) 0.462. 

Assume the coefficient of static friction is greater than the coefficient friction in every case.

 

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