In the figure, a slab of mass m1 = 44 kg rests on a frictionless floor, and a block of mass m2 = 10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force F of magnitude 101 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab? u = 0- (a) Number i î + i i Units (b) Number i î+ i j Units

A crate is sitting on a horizontal surface where the coefficient of static friction is 0.60. A worker pushes horizontally on the crate, which has a mass of 45 kg. The crate does not move, and there are no other forces acting on it. Which of the following statements is true?       (a) The force of friction on the crate is mgμs.       (b) The force of friction on the crate is mgμk.       (c) The force of friction on the crate is greater than the force that the worker exerts on the crate.           (d) The force exerted on the worker by the crate is equal in magnitude to the force of friction exerted by the surface on the crate.

A block with mass m1 = 9.2 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of μk = 0.58. A second block with a mass m2 = 10.8 kg is connected to the first by an ideal string passing over an ideal pulley such that the second block is suspended vertically. The second block is released from rest, and motion occurs. Using the variable T to represent tension, write an expression for the sum of the forces in the y-direction, ΣFy, for block 2.  Using the variable T to represent tension, write an expression for the sum of the forces in the x-direction, ΣFx for block 1.   Block 1 accelerates along the tabletop, in the horizontal direction, while block 2 moves vertically. With the coordinate system provided in the drawing, we may write a⃗ 1=a1i^a→1=a1i^ and a⃗ 2=a2y^a→2=a2y^. Write an expression that relates the vertical component of the acceleration of block 2 to the horizontal component of the acceleration of block 1.  Write an expression using the…

a block of mass m = 10.2 kg sitting on a ramp that makes an angle θ = 21° with the horizontal. This block is being pushed by a horizontal force F = 212 N. The coefficient of kinetic friction between the two surfaces is μ = 0.49. Write an equation for the acceleration of the block up the ramp using variables from the problem statement together with g for the acceleration due to gravity.  Find the acceleration of the block up the ramp in m/s2.

A block of mass M1 = 3 kg rests on top of another block of mass M2 = 5 kg. As shown in the figure, the top block is connected by a cord to a wall at left. The bottom block rests on a frictionless inclined plane of angle theta = 20o and has a force F applied to it down the plane. If the minimum force for which the bottom block will begin to slide has magnitude F = 2.5 N, what is the coefficient of static friction (us) between the two blocks?

A block of mass 4.6 kg is sliding down a ramp with an initial speed of 1.5 m/s. The ramp is inclined from the horizontal by an angle theta = 34.9 degrees and the coefficient of kinetic friction is  uk = 0.73. What is the magnitude of the displacement of the block along the ramp from the initial time until it stops?

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 Units

In the figure, a block of mass m = 3.40 kg is pulled along a horizontal frictionless floor by a cord that exerts a force of magnitude F = 11.9 N at an angle θ = 29.0°. (a) What is the magnitude of the block's acceleration? (b) The force magnitude F is slowly increased. What is its value just before the block is lifted (completely) off the floor? (c) What is the magnitude of the block's acceleration just before it is lifted (completely) off the floor?

A rope is attached to Box A, and it is pulled on a rough surface due east with friction. The mass of Box A is 50 kg, and the tension force applied to the box is 100 N due east. If Box A is pulled by the tension force for 4.0 s, and the velocity changes from 0.1 m/s due east to 0.65 m/s due east during the time Box A is pulled, answer the following questions.  (a) What is the acceleration of Box A during the time it is pulled?  (b) What is the change in kinetic energy of Box A during the time it is pulled?  (c) What is the net work done on Box A by the tension force and the frictional force together? (d) What is the work done on Box A by the tension force alone?  (e) What is the work done on Box A by the frictional force alone?

Two forces FA and FB are applied to an object whose mass is 7.20 kg. The larger force is FÁ .When both forces point due east, the object's acceleration has a magnitude of 0.453 m/s?. However, when FA points due east and Fg points due west, the acceleration is 0.337 m/s?, due east. Find (a) the magnitude of FA and (b) the magnitude of FB. (a) Number i Units (b) Number i Units