Predict/Calculate A 9.50-g bullet, moving horizontally with an initial speed V 0 , embeds itself in a 1.45-kg pendulum bob that is initially at rest. The length of the pendulum is L = 0.745 m. After the collision, the pendulum swings to one side and comes to rest when it has gained a vertical height of 12.4 cm (a) Is the kinetic energy of the bullet–bob system immediately after the collision greater than, less than, or the same as the kinetic energy of the system just before the collision? Explain. (b) Find the initial speed of the bullet. (c) How much time does it take for the bullet–bob system to come to rest for the first time?
Predict/Calculate A 9.50-g bullet, moving horizontally with an initial speed V 0 , embeds itself in a 1.45-kg pendulum bob that is initially at rest. The length of the pendulum is L = 0.745 m. After the collision, the pendulum swings to one side and comes to rest when it has gained a vertical height of 12.4 cm (a) Is the kinetic energy of the bullet–bob system immediately after the collision greater than, less than, or the same as the kinetic energy of the system just before the collision? Explain. (b) Find the initial speed of the bullet. (c) How much time does it take for the bullet–bob system to come to rest for the first time?
Predict/Calculate A 9.50-g bullet, moving horizontally with an initial speed V0, embeds itself in a 1.45-kg pendulum bob that is initially at rest. The length of the pendulum is L = 0.745 m. After the collision, the pendulum swings to one side and comes to rest when it has gained a vertical height of 12.4 cm (a) Is the kinetic energy of the bullet–bob system immediately after the collision greater than, less than, or the same as the kinetic energy of the system just before the collision? Explain. (b) Find the initial speed of the bullet. (c) How much time does it take for the bullet–bob system to come to rest for the first time?
You are working with a team that is designing a new roller coaster-type amusement park ride for a major theme park. You are present for the testing of the ride, in which an empty 150 kg car is sent along the entire ride. Near the end of the ride, the car is at near rest at the top of a 100 m
tall track. It then enters a final section, rolling down an undulating hill to ground level. The total length of track for this final section from the top to the ground is 250 m. For the first 230 m, a constant friction force of 370 N acts from computer-controlled brakes. For the last 20 m, which is
horizontal at ground level, the computer increases the friction force to a value required for the speed to be reduced to zero just as the car arrives at the point on the track at which the passengers exit.
(a) Determine the required constant friction force (in N) for the last 20 m for the empty test car.
Write AK + AU + AE int
= W+Q + TMW
+
TMT + TET + TER for the car-track-Earth system and solve for…
=
12 kg, and m3
Three objects with masses m₁ = 3.8 kg, m₂
find the speed of m3 after it moves down 4.0 m.
m/s
19 kg, respectively, are attached by strings over frictionless pulleys as indicated in the figure below. The horizontal surface exerts a force of friction of 30 N on m2. If the system is released from rest, use energy concepts to
m
m2
m3
i
Three objects with masses m₁ = 3.8 kg, m₂ = 12 kg, and m 19 kg, respectively, are attached by strings over frictionless pulleys as indicated in the figure below. The horizontal surface exerts a force of friction of 30 N on m2. If the system is released from rest, use energy concepts to
find the speed of m¸ after it moves down 4.0 m.
m/s
m
m2
mg
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