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1)A crate of potatoes of mass 19.0 kg is on a ramp with angle of incline 30° to the horizontal. The coefficients of friction are μs = 0.82 and μk = 0.29. Find the frictional force (magnitude and direction) on the crate if the crate is sliding down the ramp. 2) A car travels east at 89 km/h for 5.0 h. It then travels 45.0° east of north at 105 km/h for 5.0 h. (a) What is the average speed for the trip? (b) What is the average velocity for the trip? magnitude direction ° north of east 3)A block of mass m1 = 4.0 kg rests on a frictionless horizontal surface. A second block of mass m2 = 2.2 kg hangs from an ideal cord of negligible mass that runs over an ideal pulley and then is connected to the first block. The blocks are released from rest. (a) Find the acceleration of the two blocks after they are released. block 1: magnitude m/s2 direction block 2: magnitude m/s2 direction (b) What is the velocity of the first block 1.1 s after the release of the blocks, assuming the first block does not run out of room on the table and the second block does not land on the floor? magnitude m/s direction (c) How far has block 1 moved during the 1.1-s interval? m (d) What is the displacement of the blocks from their initial positions 0.10 s after they are released? block 1: magnitude m direction block 2: magnitude m direction
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
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