DYNAMICS 1. A 5.0 kg block is placed on an incline. The mass is connected to a massless spring by means of a light string passed over a frictionless pulley, as shown in Figure 6. The spring has a force constant of 66 N.m. The block is released from rest, and the spring is initially unstretched. The block moves down the incline a distance of 28 cm before coming to a rest. What is the coefficient of kinetic friction between the block and the surface of the 40-degree incline? (µk = 0.35)

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DYNAMICS
1. A 5.0 kg block is placed on an incline. The mass is connected to a massless spring by
means of a light string passed over a frictionless pulley, as shown in Figure 6. The spring
has a force constant of 66 N.m. The block is released from rest, and the spring is initially
unstretched. The block moves down the incline a distance of 28 cm before coming to
a rest. What is the coefficient of kinetic friction between the block and the surface of
the 40-degree incline? (µk = 0.35)
2. The banked turns at Talladega International Super Speedway are designed so a 1760
kg race car can drive around them at 340 km/h without slowing down. The radii of the
turns are 400 m.
a. If the component of friction that is directed toward the center of the circle is
35,435 N, at what angle must the corners be at in order to allow this type of
race? (Show an FBD) (0 = 13°)
b. What is the slowest speed a car can travel and still be able to go around a
corner without falling to the bottom of the track? Ignore friction and give your
answer in km/h. (Show an FBD) (v = 29 m/s)
Transcribed Image Text:DYNAMICS 1. A 5.0 kg block is placed on an incline. The mass is connected to a massless spring by means of a light string passed over a frictionless pulley, as shown in Figure 6. The spring has a force constant of 66 N.m. The block is released from rest, and the spring is initially unstretched. The block moves down the incline a distance of 28 cm before coming to a rest. What is the coefficient of kinetic friction between the block and the surface of the 40-degree incline? (µk = 0.35) 2. The banked turns at Talladega International Super Speedway are designed so a 1760 kg race car can drive around them at 340 km/h without slowing down. The radii of the turns are 400 m. a. If the component of friction that is directed toward the center of the circle is 35,435 N, at what angle must the corners be at in order to allow this type of race? (Show an FBD) (0 = 13°) b. What is the slowest speed a car can travel and still be able to go around a corner without falling to the bottom of the track? Ignore friction and give your answer in km/h. (Show an FBD) (v = 29 m/s)
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