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- A 75.0-g arrow, fired at a speed of 110 m/s to the left, impacts a tree, which it penetrates to a depth of 12.5 cm before coming to a stop. Assuming the force of friction exerted by the tree is constant, what are the magnitude and direction of the friction force acting on the arrow?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 block is at rest on an inclined plane whose elevation can be varied. The coefficient of static friction is μsμs= 0.36, and the coefficient of kinetic friction is μkμk = 0.19. The angle of elevation θθ is increased slowly from the horizontal. At what value of θθ does the block begin to slide (in degrees)? What is the acceleration of the block?Question 1 (Given a drag coefficient of 0.42 kg/sec, the magnitude of the drag force (N) on a projectile moving with a speed of 8 m/s is) In question 1, measured from the positive x-axis (using counter-clockwise angles), if the direction of the projectile's velocity is 81 degrees, the direction (degrees) of the drag force is:The coefficient of static friction between a block and a horizontal floor is 0.47, while the coefficient of kinetic friction is 0.14. The mass of the block is 4.2 kg. If a horizontal force is slowly increased until it is barely enough to make the block start moving, what is the net force on the block the instant that it starts to slide?
- A car has a mass of 1750 kg. If the driver applies the brakes while on a gravel road, the maximum friction force that the tires can provide without skidding is about 6500 N. If the car is moving at 22 m/s, what is the shortest distance in which the car can stop safely?The velocity of a 1.7 kg block sliding down a frictionless inclined plane is found to be 1.15 m/s. 1.00 s later, it has a velocity of 4.45 m/s. What is the angle of the plane with respect to the horizontal (in degrees)?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 documentary shows tries to pull a crocodile out of the swamp using a rope at an angle of 300 above the horizontal. How hard the man pull to keep it moving with constant velocity? Assume that the weight of the crocodile is 500 N and the coefficient of kinetic friction is equal to 0.4A block of mass m1 = 3.9 kg is placed on top of a block with mass m2 = 5.4 kg. A force, F = is applied to m2, at an angle 16.1 degrees above the horizontal. If the coefficient of static friction between all moving surfaces is 0.42 and the coefficient of kinetic friction is 0.32, determine the magnitude of the minimum force that will get the blocks moving.A fisherman casts his bait toward the river at an angle of 25° above the horizontal. As the line unravels, he notices that the bait and hook reach a maximum height of 2.9m. What was the initial velocity he launched the bait with? Assume that the line exerts no appreciable drag force on the bait and hook and that air resistance is negligible.