Brandon is the catcher for the Varsity baseball team. He exerts a forward force on the 0.145-kg baseball to bring it to rest from a speed of 38.2 m/s. During the process, his hand recoils a distance of 0.135 m. Determine the acceleration of the ball and the force which is applied to it by Brandon.

It may appear at first glance that Newton's 2nd and 3rd laws are independent claims. This, however, is not true - Newton's 3rd law is simply a consequence of Newton's 2nd law. In this problem, you will prove Newton's 3rd law for the normal contact force between two objects, using only Newton's 2nd law. Consider two blocks with masses m₁ and m₂ in contact, with external forces F₁ and F2 applied, as shown in the figure. The free body diagram for each block is also given, with internal forces fa and f, as shown. F₁ F₁ fa fb ΣF = ΣF = m₁ m2 Submit F₂ Complete the equations of motion for the entire system, as well as blocks 1 and 2 individually. Note, the forces have a signed magnitude, where positive values correspond to the positive x-direction ΣF= = (m₁ + m₂) a = m₁ a = m₂ a Use the above equations to write fa in terms of only fr: fa = m₁ You have used 0 of 4 attempts m₂ F₂ Save Calculator

Two blocks are positioned on surfaces, each inclined at the same angle of 47.2 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 7.58 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 an acceleration of 1.5 m/s^2? 1 7.71 kg 2 11.57 kg 3 6.08 kg 4 17.36 kg

A m1 = 5.01-kg block is placed on top of a m2 = 10.0-kg block (figure). horizontal force of F = 45.0 N is applied to the 10.0-kg block, and the 5.01-kg block is tied to the wall. The coefficient of kinetic friction between all moving surfaces is 0.182.(a)Draw a free-body diagram for each block and identify the action–reaction forces between the blocks.(b) Determine the tension in the string in magnitude of newtons.(c) Determine the magnitude of the acceleration of the 10.0-kg block.

A pulley and rope hang two people. A person pulls downward on the leg of person number 2 with a force of 400 N. (so person one accelerates up and person 2 accelerates down). Mass of person 1 = 50.0 kg & Mass of person 2=60.0 kg. Find the acceleration of the system and the tension in the rope.

Answer Please

Two people, one with a mass of 60 kg and one with a mass of 45 kg, sit on 5 kg frictionless carts that are initially at rest on a flat surface. The lighter person pushes on the more massive person, causing the latter to accelerate at a rate of 3.0 m/s2 toward the east. What are the magnitude and direction of the lighter person’s acceleration vector? The acceleration is_____  m/s2 toward the  choose one ( East, West, North , south)

A box, initially at rest, has 20.9 N of force exerted on it for 5.39 s. If the box has a mass of 5.54 kg, what was its velocity at this time?

A car accelerates down a hill (see figure below), going from rest to 22.0 m/s in 8.40 s. A toy inside the car hangs by a string from the car's ceiling. The ball in the figure represents the toy, of mass 0.180 kg. The acceleration is such that the string remains perpendicular to the ceiling. (a) Determine the angle e. (b) Determine the tension in the string.