Figure 8.11 (Example 8.8) A block sliding on a fric- tionless, horizontal surface collides with a light spring. (a) Initially, the block slides to the right, approaching the spring. (b) The block strikes the spring and begins to compress it. (c) The block stops momen- tarily at the maximum compression of the spring. (d) The spring pushes the block to the left. As the x= 0 ww- E = mu a b ® WWW E = mv + kx E = kxmax spring returns to its equilib- rium length, the block con- tinues moving to the left. The energy equations at the right show the energies of the system in the friction- less case in part (A). max d

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Chapter5: Energy
Section: Chapter Questions
Problem 46P: A child of mass m starts from rest and slides without friction from a height h along a curved...
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A block having a mass of 0.80 kg is given an initial velocity υ = 1.2 m/s to the right and collides with a spring whose mass is negligible and whose force constant is k = 50 N/m as shown.
(A) Assuming the surface to be frictionless, calculate the maximum compression of the spring after the collision.                                                    (B) Suppose a constant force of kinetic friction acts between the block and the surface, with μk = 0.50. If the speed of the block at the moment it collides with the spring is υ = 1.2 m/s, what is the maximum compression x in the spring?

Figure 8.11 (Example 8.8)
A block sliding on a fric-
tionless, horizontal surface
collides with a light spring.
(a) Initially, the block slides
to the right, approaching
the spring. (b) The block
strikes the spring and
begins to compress it.
(c) The block stops momen-
tarily at the maximum
compression of the spring.
(d) The spring pushes the
block to the left. As the
x= 0
ww-
E = mu
a
b
® WWW
E = mv + kx
E = kxmax
spring returns to its equilib-
rium length, the block con-
tinues moving to the left.
The energy equations at the
right show the energies of
the system in the friction-
less case in part (A).
max
d
Transcribed Image Text:Figure 8.11 (Example 8.8) A block sliding on a fric- tionless, horizontal surface collides with a light spring. (a) Initially, the block slides to the right, approaching the spring. (b) The block strikes the spring and begins to compress it. (c) The block stops momen- tarily at the maximum compression of the spring. (d) The spring pushes the block to the left. As the x= 0 ww- E = mu a b ® WWW E = mv + kx E = kxmax spring returns to its equilib- rium length, the block con- tinues moving to the left. The energy equations at the right show the energies of the system in the friction- less case in part (A). max d
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