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- If a single constant force acts on an object that moves on a straight line, the objects velocity is a linear function of time. The equation v = vi + at gives its velocity v as a function of time, where a is its constant acceleration. What if velocity is instead a linear function of position? Assume that as a particular object moves through a resistive medium, its speed decreases as described by the equation v = vi kx, where k is a constant coefficient and x is the position of the object. Find the law describing the total force acting on this object.A sleigh is being pulled horizontally by a train of horses at a constant speed of 8.05 m/s. The magnitude of the normal force exerted by the snow-covered ground on the sleigh is 6.37 103 N. a. If the coefficient of kinetic friction between the sleigh and the ground is 0.23, what is the magnitude of the kinetic friction force experienced by the sleigh? b. If the only other horizontal force exerted on the sleigh is due to the horses pulling the sleigh, what must be the magnitude of this force?A 3.00-kg object is moving in a plane, with its x and y coordinates given by x = 5t2 1 and y = 3t3 + 2, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 2.00 s.
- the coefficient of static friction between block A and a horizontal floor is 0.320, and the coefficient of static friction between block B and the floor is 0.300. The mass of each block is 2.00kg,and they are connected together by a cord. If a horizontal force F pulling on block B is slowly increased ,in a direction parallel to the connectin cord,until the block start sliding ,what is the magnitude of F at the instant that they start to slide?A block (mass = 200.00 g) is placed on an inclined plane 45 degrees from the horizontal. The coefficient of static and kinetic friction between the block and the plane are 0.54 and 0.35, respectively. What is the frictional force between the block and the plane?A horse pulls a box of mass M = 55 kg across a rough horizontal surface by applying a horizontal force of 874 N.If the coefficient of kinetic friction between the box and the surface is μk = 0.5, what is the acceleration of thebox?
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- A boy has stacked two blocks on the floor so that a 5.00kgblock is on top of a1.60kg block. If the coefficient of static friction between the two blocks is 0.400 and the coefficient of static friction between the bottom block and the floor is 0.220,with what minimum force should the boy push horizontallyon the upper block to make both blocks start to slide together along the floor?answer in 5 mins a 35 kg block is held in place on an inclined plane by a cable tension, T. if the plane is inclined by 49 degrees from horizontal, what is the magnitude of the normal force acting on the block? answer in newtonsA body weighing 2,225 N is being dragged along a rough horizontal plane by a force of P = 445 N. If the coefficient of friction is 1/12 and the line of the pull makes an angle of 18 deg above the horizontal, what are the velocities acquired from rest in the first 3.65m and in the first 5.5m?