VA= 3 ft/s B
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The three blocks shown are identical. Blocks B and C are at rest when block B is hit by block A, which is moving with a velocity Va of 3 ft/s. After the impact, which is assumed to be perfectly plastic (e= 0), the velocity of blocks A and B decreases due to friction, while block C picks up speed, until all three blocks are moving with the same velocity v . Knowing that the coefficient of kinetic friction between all surfaces is μk= 0.20, determine (a) the time required for the three blocks to reach the same velocity, (b) the total distance traveled by each block during that time.
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- Leilani loads luggage into a Hawaiian Air passenger plane bound for Vegas using a conveyor belt tilted at an angle of 20.0o . She places a few pieces of luggage onto the belt before it starts to move. When she turns the belt on it takes 0.70 s for it to reach a top speed of 1.2 m/s. Does the luggage slip? Assume µs = 0.50 between the luggage and the belt.When the velocity v of an object is very large, the magnitude of the force due to air resistance is proportional to v² with the force acting in opposition to the motion of the object. A shell of mass 4 kg is shot upward from the ground with an initial velocity of 600 m/sec. If the magnitude of the force due to air resistance is (0.1)v², when will the shell reach its maximum height above the ground? What is the maximum height? Assume the acceleration due to gravity to be 9.81 m/s². dv First write m- -= F(v,t) in terms of the given data. m dv dtA block of mass m = 0.5 kg is kicked so that it slides up a ramp inclined at an angle θ = 30°. At the bottom of the ramp, the block has speed v0 = 4.0 m/s. There is a coefficient of kinetic friction between the block and ramp µk = 0.18. (a) How far up the ramp does the block slide? (b) Assume that the block comes to rest and does not slide back down the ramp. What must be the minimum coefficient of static friction between the block and ramp?
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