Two air carts of mass m 1 = 0.84 kg and m 2 = 0.42 kg are placed on a frictionless track Cart 1 is at rest initially, and has a spring bumper with a force constant of 690 N/M cart 2 has a flat metal surface for a bumper and moves toward the bumper of the stationary cart with an initial speed v = 0.68 m/s. (a) What is the speed of the two carts at the moment when their speeds are equal? (b) How much energy is stored in the spring bumper when the carts have the same speed? (c) What is the final speed of the carts after the collision?
Two air carts of mass m 1 = 0.84 kg and m 2 = 0.42 kg are placed on a frictionless track Cart 1 is at rest initially, and has a spring bumper with a force constant of 690 N/M cart 2 has a flat metal surface for a bumper and moves toward the bumper of the stationary cart with an initial speed v = 0.68 m/s. (a) What is the speed of the two carts at the moment when their speeds are equal? (b) How much energy is stored in the spring bumper when the carts have the same speed? (c) What is the final speed of the carts after the collision?
Two air carts of mass m1 = 0.84 kg and m2 = 0.42 kg are placed on a frictionless track Cart 1 is at rest initially, and has a spring bumper with a force constant of 690 N/M cart 2 has a flat metal surface for a bumper and moves toward the bumper of the stationary cart with an initial speed v = 0.68 m/s. (a) What is the speed of the two carts at the moment when their speeds are equal? (b) How much energy is stored in the spring bumper when the carts have the same speed? (c) What is the final speed of the carts after the collision?
A pendulum has a 0.4-m-long cord and is given a tangential velocity of 0.2 m/s toward the
vertical from a position 0 = 0.3 rad.
Part A
Determine the equation which describes the angular motion.
Express your answer in terms of the variable t. Express coefficients in radians to three significant figures.
ΜΕ ΑΣΦ
vec
(t)=0.3 cos (4.95t) + 0.101 sin (4.95t)
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Part A
■Review
The uniform 150-lb stone (rectangular block) is being turned over on its side by pulling the
vertical cable slowly upward until the stone begins to tip.
(Figure 1)
If it then falls freely (T = 0) from an essentially balanced at-rest position, determine the speed at which the corner A strikes the pad at B. The stone does not slip at its corner C as it falls. Suppose that height of the stone is
L = 1.2 ft.
Express your answer to three significant figures and include the appropriate units.
?
ft
VA 10.76
S
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Consider the circuit shown in the figure. The battery has emf ε = 69 volts and negligible internal resistance. The inductance is L = 0.4 H and the resistances are R 1 = 12 Ω and R 2 = 9.0 Ω. Initially the switch S is open and no currents flow. Then the switch is closed. After leaving the switch closed for a very long time, it is opened again. Just after it is opened, what is the current in R 1?
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