A 5 kg block slides down an incline of 30°. The coefficient of kinetic friction between the incline and the block is μk = .25. (a) Draw the free body diagram for the block and label all of the forces acting on the block. (b) Write down the equations of motion for the block and find the acceleration of the block.
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- Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in water is slowed by a viscous retarding force of magnitude bv2, where b is a constant, (a) Find and sketch v(t). How long does it take the boat to reach a speed of v0/l000? (b) Find x(t). How far does the boat travel in this time? Let m = 200 kg, v0 = 2 m/s, and b = 0.2 Nm-2s2.A force of 600 N is applied on a block of mass M to pull it at a constant velocity up the incline at an angle of 30 degrees with the horizontal. The coefficient of kinetic friction between the surface of the incline and the block is given as uk(mu_k) = 0.5. Draw the complete labelled free body diagram of all the forces acting on the block. Calculate the mass of the block.A person pushes horizontally with a force of 221 N on a 55.0 kg crate to move it to the right across a level floor. The coefficient of kinetic friction is 0.350. What is the magnitude of (a) the frictional force and (b) the crate's acceleration? The directions of the four forces and the acceleration must be identified. Make a free-body diagram. Please use the blue vector to specify forces and the pink vector for acceleration. Please make sure to label each vectors. The labels should none, mg, fk, a, FN, or Fpushing.
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- In the diagram shown below, the lower block is acted on by a force, F, which has a magnitude of 90.5N. The coefficient of kinetic friction between the lower block and the surface is 0.336. The coefficient of kinetic friction between the lower block and the upper block is also 0.336. What is the acceleration of the lower block, if the mass of the lower block is 4.00kg and the mass of the upper block is 1.66kg?A block is pulled along a rough level surface at constant speed by the force P to the right . FN, the normal force on the block has an upward direction; and f, the force of kinetic friction is opposite the direction of P. What is the magnitude of FN?A block accelerates at 4 m/s^2 down a rough ramp, inclined at 38 degrees. What is the coefficient of kinetic friction between the block and ramp? Include a sketch of the system (with a coordinate system) and a free body diagram.