1- A 4.0-kg block slides down a 35° incline at a constant speed when a 16-N force is applied acting up and parallel to the incline. What is the coefficient of kinetic friction between the block and the surface of the incline? Answer = 0.2
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- 1. Two blocks are positioned on surfaces, each inclined at the same angle of 42.8 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 2.07 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.510. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the LEFT at an acceleration of 1.5 m/s^2? 2. Two blocks are positioned on surfaces, each inclined at the same angle of 49.5 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 2.24 kg, and this time there is NO friction. What is must be the mass of the white block if both blocks are to slide to the LEFT at…5) A box with mass m=1.25 kg rests on the top of a bar. The coefficient of static friction between the box and the bar is μs=0.73 and the coefficient of kinetic friction is μk=0.39. a) Write an expression for Fm the minimum force required to produce movement of the box on the top of the bar. b) Solve numerically for the magnitude of the force Fm in Newtons. c) Write an expression for a, the box's acceleration, after it begins moving. (Assume the minimum force, Fm, continues to be applied.) d) Solve numerically for the acceleration, a in m/s².acmillan Learning At a mail sorting facility, packages slide down a ramp but are stopped part way down the ramp so that they can be scanned. While the packages are scanned, they are held in place by a horizontal force from a spring-loaded arm. The ramp makes an angle of 0 = 41.5° with the horizontal. The package has a mass of 8.25 kg. The coefficient of static friction between the ramp and the package is 0.385. Calculate the minimum force Fmie that this arm must apply to hold a package on the ramp. Fmin = of N
- 2. A block of mass 3.00 kg is pushed up against a wall by a force P that makes a 50.0° angle with the horizontal as shown in the figure. The coefficient of static friction between the block and the wall is 0.250. Determine the possible values for the magnitude of P that allow the block to remain stationary 50.0° P9. Two blocks are positioned on surfaces, each inclined at the same angle of 58.3 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 3.66 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.460. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the LEFT at an acceleration of 1.5 m/s^2? 2.16 kg 9.99 kg 6.02 kg 3.06 kgContinuing from problem 8, the force F is increased to 50 N. The data are as follows: a) The object's mass is 4 kg, b) g = 10 m/s². c) Coefficient of the kinetic friction = 0.5 / sqrt(3) and coefficient of the static friction = 1 / sqrt(3). d) Magnitude of the force F = 50 N. 30⁰ F What is the acceleration of the object in m/s²? Round to the nearest decimal.
- 4. The 100-kg crate is subjected to the forces shown. If it is originally at rest, determine the distance it slides in order to attain a speed of v= 6 m/s. The coefficient of kinetic friction between the crate and the surface is Hk = 0.2. 500 N 400 N 30° 45°A 2.40-kg block starts from rest at the top of a 30.0° incline and slides a distance of 2.10 m down the incline in 2.00 s. (a) Find the magnitude of the acceleration of the block. m/s² (b) Find the coefficient of kinetic friction between block and plane. (c) Find the friction force acting on the block. magnitude N direction -Select--- (d) Find the speed of the block after it has slid 2.10 m. m/s