*8-44. The 3-Mg rear-wheel-drive skid loader has a center of mass at G. Determine the largest number of crates that can be pushed by the loader if each crate has a mass of 500 kg. The coefficient of static friction between a crate and the ground is µ̟ = 0.3, and the coefficient of static friction between the rear wheels of the loader and the ground is Hi=0.5. The front wheels are free to roll. Ässume that the engine of the loader is powerful enough to generate a torque that will cause the rear wheels to slip.
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- A 2000 kg trailer truck travels down a road with slope 0.2 with a speed of 20 kph. If the truck driver pressed the brakes hard, determine how far the tires skid on the road if the coefficient of kinetic friction between the wheels and the road is 0.6.Bob borrows a lunch tray of negligible mass to push Will on the tray across a level portion of the field. The coefficient of kinetic friction between the tray and the grass is 0.25 and the coefficient of static friction is 0.30. Will is pushed 40m across the field by Bob at a constant speed, but Bob is so tall that he pushes with a force of 40 degrees below the horizontal. Will gained some weight during quarantine, so he now weighs 120kg. a) What power does Bob need to move Will across the field in 20sec? b) What could Bob do to decrease the work he needs to push Will across the field without decreasing his force?An automobile is going up a grade of 15 with an initial velocity of 30 m/s. The coefficient of static friction between the tires and the road is 0.7. a) What minimum distance does it take to stop the car? b) What minimum distance would it take to stop the car if it were going down the grade?
- While loading furniture into a truck, you push a 1.56 kg chair up a 14.7 degree ramp, with a horizontal force of 12.1 N. How long does it take to reach a speed of 4 m/s, starting from rest? The coefficient of kinetic friction chair - ramp is 0.345.Your Physics 4A physics textbook is pressed against the wall by a mysterious floating hand as shown in the figure below. The textbook slides down the wall at a constant acceleration such that its speed decreases by 1.25 m/s every second. The coefficient of kinetic friction between the book and the wall is uk= 0.35. Calculate the force that the hand exerts on the book.A block of mass 1.96kg is accelerated across a rough surface by a rope passing over a pulley, as shown in the figure below. The tension in the rope is 14.0N, and the pulley is 10.8cm above the top of the block. The coefficient of kinetic friction is 0.350. Calculate the value of x at which the acceleration becomes zero.
- In the back of the truck is a 200kg box that has a coefficient of static friction of 0.8 and a coefficient of kinetic friction of 0.4 between the truck and the box. You are driving on the freeway at 25m/s. There is a car ahead of you that is driving at 30m/s. Your front bumper is 30m behind the back of the first car. You would like to pass the other car and pull back into the same lane when your back bumper is 10m ahead of the front bumper of the first car in 5 seconds. The length of the car ahead of you is 3m and the length of your car is 4m.a) What minimum acceleration do you need to do this?b) What distance does your car travel in that time?c) Does the box in your truck start to slide off the truck?Many birds can attain very high speeds when diving. Using radar, scientists measured the altitude of a barn swallow in a vertical dive; it dropped 208 m in 3.0 s. The mass of the swallow was estimated to be 0.018 kg, and its cross-section area as 5.6 x 10-4 m2. What was the drag coefficient for this swallow as it dove?A constant force Fa pushes a 22.5-kg box across a rough horizontal surface. The magnitude of Fa is 185 N and the force is inclined at an angle of θ = 30.0° below the horizontal. The coefficient of kinetic friction between the box and the surface is μk = 0.500. What is the magnitude of the box's acceleration?
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