In the figure, a tin of anti-oxidants (m, = 4.4 kg) on a frictionless inclined surface is connected to a tin of corned beef (m, = 2.2 kg). The pulley is massless and frictionless. An upward force of magnitude F = 6.3 N acts on the corned beef tin, which has a downward acceleration of 4.0 m/s2. What are (a) the tension in the connecting cord and (b) angle B?
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- a sled, with a mass=6.50kg, is sliding down a snow-covered hill that has a slope of 45.0 degrees. there is an applied force pushing down on the sled perpendicular to the incline of 80.4N. the coefficient of kinetic friction between the sled and the snow is .100. determine the acceleration of the sled down the slope. report your answer is meters per second squared, but only enter the numerical value.A heavy sled is being pulled by two people, as shown in the figure. The coefficient of static friction between the sled and the ground is µs = 0.603, and the kinetic friction coefficient is = 0.403. The combined mass of the sled and its load is m = 336 kg. The ropes are separated by an angle o = 25.0°, and they make an angle 0 = 31.1° with the horizontal. Assuming both ropes pull equally hard, what is the minimum rope tension required to get the sled moving? minimum rope tension: N If this rope tension is maintained after the sled starts moving, what is the sled's acceleration? acceleration: m/s2A crate with a mass of m=254kg rests on the horizontal deck of a ship. The coefficient of static friction between the crate and the deck is μs=0.83. The coefficient of kinetic friction is μk=0.47. Write an expression for the magnitude of the force, Fv, that must be applied to keep the block moving at a constant velocity.
- A crate is being pushed up an incline at a constant velocity. The mass of the crate is 90 kg. The angle of the incline is 14.4°. The coefficient of kinetic friction is 0.295. What magnitude of force is being applied to keep the crate moving at a constant velocity up the incline?A sphere of mass 4.7 × 10-4 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 26° with the vertical. Find (a) the magnitude of that push and (b) the tension in the cord.When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of μN, where μ 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 30° to the horizontal. Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction μ = 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 9.81 m/sec². Determine the equation of motion for the object as it slides down the plane. x(t) = ... 30° mg sin 30° mg AN mg cos 30° x(0) = 0
- The block shown in the figure is sliding along a frictionless horizontal surface The block's mass is m = 4.80 kg,the magnitude of the applied force is F = 26.5 N, and the angle of the applied force F from the horizontal is θ = 28.0°. Determine the magnitude n of the normal force acting on the block.Problem 2: Peter pushed a 84 kg box down a sloping metal surface with a push force of 50 N. The slope angle o= 16°. The kinetic friction coefficient between the box and the sloping metal surface was u=0.34.A sphere of mass 5.4 × 104 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 18° with the vertical. Find (a) the magnitude of that push and (b) the tension in the cord. (a) Number i Units (b) Number i Units
- A 2.30 kg block is initially at rest on a horizontal surface. A horizontal force of magnitude 5.92 N and a vertical force are then applied to the block (see the figure). The coefficients of friction for the block and surface are us = 0.4 and Uk = 0.25. Determine the magnitude of the frictional force acting on the block if the magnitude of P is (a)7.00 N and (b)10.0 N. (The upward pull is insufficient to move the block vertically.) (a) Number i (b) Number i Units Units P € }When Two forces FA and FB are applied to an object whose mass is 9.15 kg. The larger force is FA. both forces point due east, the object's acceleration has a magnitude of 0.784 m/s². However, when FA points due east and FB points due west, the acceleration is 0.420 m/s², due east. Find (a) the magnitude of FA and (b) the magnitude of FB. (a) Number i (b) Number i Units UnitsA horizontal force of magnitude F = 47.6 N pushes on a block of mass m = 6.08 kg. The block is on a frictionless incline that makes and angle θ = 37.5 degrees with horizontal. Write an expression for the acceleration ax of the block, taking up the ramp to be the positive x direction. Express your answer in terms of F, m, θ, and g (9.80 m/s2).