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
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
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
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?
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
Definition Definition Force that opposes motion when the surface of one item rubs against the surface of another. The unit of force of friction is same as the unit of force.
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