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In Fig. 6-24, a force
Figure 6-24 Problem 17.
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- A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.880 m/s encounters a rough horizontal surface of length { = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.356 and he exerts a constant horizontal force of 276 N on the crate. (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. (b) Find the net work done on the crate while it is on the rough surface. (c) Find the speed of the crate when it reaches the end of the rough surface.arrow_forwardA man pushing a crate of mass m = 92.0 kg at a speed of v = 0.880 m/s encounters a rough horizontal surface of length { = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.356 and he exerts a constant horizontal force of 276 N on the crate. (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude 44.96 V N direction opposite as the motion of the crate (b) Find the net work done on the crate while it is on the rough surface. -29.22 (c) Find the speed of the crate when it reaches the end of the rough surface. 1.2arrow_forwardA block of mass m rests on a plane inclined an angle with the horizontal. A spring with force constant k is attached to the block. The coefficient of static friction between the block and plane is s. The spring is pulled upward along the plane very slowly. (a) What is the extension of the spring the instant the block begins to move? (b) The block stops moving just as the extension of the contracting spring reaches zero. Express k (the kinetic coefficient of friction) in terms of s and .arrow_forward
- A warehouse worker is pushing a 90.0 kg crate with a horizontal force of 283 N at a speed of v = 0.875 m/s across the warehouse floor. He encounters a rough horizontal section of the floor that is 0.75 m long and where the coefficient of kinetic friction between the crate and floor is 0.354. (a)Determine the magnitude and direction of the net force acting on the crate while it is pushed over the rough section of the floor. (b) Determine the net work done on the crate while it is pushed over the rough section of the floor. (c) Find the speed of the crate when it reaches the end of the rough surface.arrow_forwardA warehouse worker is pushing a 90.0 kg crate with a horizontal force of 291 N at a speed of v = 0.850 m/s across the warehouse floor. He encounters a rough horizontal section of the floor that is 0.75 m long and where the coefficient of kinetic friction between the crate and floor is 0.351. m (a) Determine the magnitude and direction of the net force acting on the crate while it is pushed over the rough section of the floor. magnitude direction --Select--- (b) Determine the net work done on the crate while it is pushed over the rough section of the floor. (c) Find the speed of the crate when it reaches the end of the rough surface. m/sarrow_forwardA warehouse worker is pushing a 90.0 kg crate with a horizontal force of 300 N at a speed of v = 0.850 m/s across the warehouse floor. He encounters a rough horizontal section of the floor that is 0.75 m long and where the coefficient of kinetic friction between the crate and floor is 0.360. m (a) Determine the magnitude and direction of the net force acting on the crate while it is pushed over the rough section of the floor. magnitude Have you drawn a force diagram and identified all forces acting on the crate? N direction --Select-- X Have you drawn a force diagram and identified all forces acting on the crate? (b) Determine the net work done on the crate while it is pushed over the rough section of the floor. Can you write an expression for the net work done on the crate in terms of the net force acting on the crate? J (c) Find the speed of the crate when it reaches the end of the rough surface. Can you develop an expression for the final speed of the crate in terms of its initial…arrow_forward
- When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of uN, is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to the object. Suppose an object of mass 30 kg is released from the top of an inclined plane that is inclined 60° to the horizontal. Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction p = 0.2. Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is 8 m long, what is the velocity of the object when it reaches the bottom? Assume that the acceleration due to gravity is where x(t) x(0) = 0 mg sin 60° 9.81 m/sec?. mg cos 60° 600 mg Determine the equation of motion for the object as it slides down the plane. X(t)%3Darrow_forwardA block of mass 6.7 kg starts sliding down from rest, on an inclined plane of length l=2.5 m and inclined at angle 0=30° to a horizontal floor. The coefficient of friction between the block and the plane are Hs-0.6 and H-0.25. At the bottom of the inclined plane, the block continues sliding along the horizontal floor until it comes to stop after traveling a distance d=7.1 m. The coefficient of kinetic friction between the block and the floor is H(x)=0.04X+0.1, where x is in meter. What is the work done by the friction force while the block sliding along the floor?arrow_forwardA warehouse worker is pushing a 90.0 kg crate with a horizontal force of 291 N at a speed of v = 0.845 m/s across the warehouse floor. He encounters a rough horizontal section of the floor that is 0.75 m long and where the coefficient of kinetic friction between the crate and floor is 0.356. (a) Determine the magnitude and direction of the net force acting on the crate while it is pushed over the rough section of the floor. (b) Determine the net work done on the crate while it is pushed over the rough section of the floor. (c) Find the speed of the crate when it reaches the end of the rough surface.arrow_forward
- A mass is an initial speed of v down a ramp inclined at an angle of θ to the horizontal. The coefficient of kinetic friction between the ramp and the mass is μ. After sliding a distance d down the ramp, the mass slides onto a frictionless horizontal surface and encounter a spring which it compresses a distance x. determine the spring constant, in term of given quantitiesarrow_forwardA block with mass m = 6 kg is being pulled on a frictionless horizontal surface by a force F a distance OA = d. This force has a magnitude F = 10 N and a direction 0 = 30° above the horizontal. If the speeds at points O and A are vo = 2 m/s and VA = 5 m/s respectively, then the distance OA-d covered by the block will be equal to: F 0 = 30° Vo = 2 m/s O 20.785 m 34.594 m 13.653 m 3.637 m 7.275 m O d = ? VA Aarrow_forwardA crate of mass m is initially at rest at the highest point of an inclined plane, which has a height of 4.7 m and has an angle of θ = 28° with respect to the horizontal. After it has been released, it is observed to be traveling at v = 0.85 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the crate and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. Find the distance d, in meters.arrow_forward
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