45. A 100-g block slides back and forth on a frictionless surface be- tween two springs, as shown in Fig. 7.18. The left-hand spring 110 N/m and its maximum compression is 21 cm. mon has k The right-hand spring has 240 N/m. Find (a) the maximum compression of the right-hand spring and (b) the speed of the block as it moves between the springs. | k = Mww FIGURE 7.18 Problem 45
45. A 100-g block slides back and forth on a frictionless surface be- tween two springs, as shown in Fig. 7.18. The left-hand spring 110 N/m and its maximum compression is 21 cm. mon has k The right-hand spring has 240 N/m. Find (a) the maximum compression of the right-hand spring and (b) the speed of the block as it moves between the springs. | k = Mww FIGURE 7.18 Problem 45
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NO.45
Transcribed Image Text:ropped
a distance h: v =
V vỏ + 2gh. Use conservation of mechanical
energy to derive the same result.
44. The nuchal ligament is a
BIO cord-like structure that runs
along the back of the neck
and supports much of the
head's weight in animals like
horses and cows. The liga-
ment is extremely stiff for
small stretches, but loosens as
it stretches further, thus func-
2.0-
1.5-
1.0-
0.5-
0.0+
4
8.
10 12 14
Stretch (cm)
FIGURE 7.17 Problem 44
mal tioning as a biological shock
absorber. Figure 7.17 shows
the force-distance curve for a particular nuchal ligament;
the curve can be modeled approximately by the expression
F(x) = 0.43x
in cm. Find the energy stored in the ligament when it's been
stretched (a) 8.0 cm and (b) 16 cm.
0.033x2 + 0.00086.x², with F in kN and x
45. A 100-g block slides back and forth on a frictionless surface be-
tween two springs, as shown in Fig. 7.18. The left-hand spring
110 N/m and its maximum compression is 21 cm.
has k =
The right-hand spring has
k = 240 N/m. Find (a) the
ww
ud maximum compression of
the right-hand spring and
(b) the speed of the block
as it moves between the
FIGURE 7.18 Problem 45
springs.
46. Automotive standards call for bumpers that sustain essentially
no damage in a 4-km/h collision with a stationary object. As an
automotive engineer, you'd like to improve on that. You've de-
veloped a spring-mounted bumper with effective spring constant
1.6 MN/m. The springs can compress up to 6.0 cm before dam-
age occurs. For a 1200-kg car, what do you claim as the maxi-
mum collision speed?
Force (kN)
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