5. A 25 kg block is pulled with an applied force of 200 N across a horizontal surface. The block experiences a frictional force of 75 N. a. Draw a free-body diagram for the block, including all forces acting on the block. b. Determine the net force acting on the block. c. Calculate the acceleration of the block.
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a)
Draw the free-body diagram of the block.
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- Show all of your work. A 50 kg box is being pulled to the right across the floor as shown. a) Describe two free body diagrams: one without resolving components, and one with (only) resolved components. b) Apply Newton’s 2nd Law along the x-direction. Calculate the acceleration of the box along the floor. c) Apply Newton’s 2nd Law along the y-direction. Calculate the normal force upon the box.A block slides with constant speed under the action of the force shown (see figure 1.7)(A) How large is the retarding force?(B) What is the coefficient of kinetic friction between the block and the floor?. In Figure 1, we have added an inclined plane to our machine. Whenthe masses are let go, they begin to move. There is friction between theinclined plane and m1, the coefficient of which is µk.(a) Draw FBDs for each mass. Take the y-axis to be perpendicular to theplane, and the x-axis parallel to it.(b) Sum the forces in the x- and y-directions.(c) Solve the equations from part (b) for the acceleration.(d) Take your result for the acceleration from part (c) and substituteα = 90◦(we will assume that neither mass contacts the inclined planehere). What equation for the acceleration a do you obtain? How is thisrelated to the standard Atwood Machine we discussed in class?
- Please show complete free body diagram and solutions. Thank you! A 70-kg base runner begins his slide into second base when he is moving at a speed of 4.0 m/s. The coeffi-cient of friction between his clothes and Earth is 0.70. He slides so that his speed is zero just as he reaches the base. (a) How much mechanical energy is lost due to friction acting on the runner? (b) How far does he slide?Consider the cart on a frictionless track, shown below. For each question, one or more features of the setup have been changed. Assume that there is no friction. You are to indicate what effect the change will have on the acceleration compared to the original setup, which is shown below. (1st picture is the original setup) 1. What happens to the acceleration if the mass of the cart is increased to 14kg, but the towing force remains the same?Water going over a fall splashes on the rocks 20 m below. (a) What is the water’s velocity at the bottom of the fall, assuming ? = 0 at the top? (b) If 20 kg of water flows over the fall per second, how much force do the rocks exert on the falling water? (Assume the water comes to a stop once it hits the rocks.) please show your work, including diagrams, algebraic equations, and enough written explanations that somebody who is not familiar with the problem could understand what you are doing.
- A 97-kg sprinter wishes to accelerate from rest to a speedof 13 m/s in a distance of 22 m. (a) What coefficient of staticfriction is required between the sprinter’s shoes and the track?(b) Explain the strategy used to find the answer to part (a). Show your work and explain.Learning Objectives: In this assignment students will use Newton’s laws and solvesystems of symbolic equations to find quantities of motion such as position, velocity,acceleration and time. Students will represent information in multiple ways. Studentswill make predictions and assess their work.Problem Statement: An object of mass m rests at the top of a smooth slope ofheight h, length L and angle ?. The coefficient of kinetic friction ??. A very smallpush overcomes static friction, and the object begins to slide down the slope.Using your knowledge of kinematics, determine a symbolic expression for the object’sspeed when it reaches the bottom of the hill. This should be in terms of some of all ofgiven/known variables m, h, L, g, ? and ??. Check the physical units of yourexpression.Consider the graph above. **Please show compelte work and correct sig figs** 1. Describe in detail the motion, use words like moving forward, moving backward, moving with constant velocity (or acceleration). 2. When was the cart (or person) at rest? For how long? 3. What was the total displacement, the instantaneous velocity at t=7 s, and t=10 s?
- A 10-kilogram block is pushed across a horizontal surface with a horizontal force of 20 N against a friction force of 10 N. What is the acceleration? Draw the free body diagram, show your workConsider the cart on a frictionless track, shown below. For each question, one or more features of the setup have been changed. Assume that there is no friction. You are to indicate what effect the change will have on the acceleration compared to the original setup, which is shown below. (The picture is the original setup) 1. What happens to the acceleration if the mass of the cart is increased to 14kg, but the towing force remains the same? A. The acceleration will be greater than the original setup. B. The acceleration will be less than the original setup. C. The acceleration remains the same. D. It's not possible to tell.A tension of 20 N is maintained in a tape as it passes through the support system shown. Knowing that the radius of each pulley is 10 mm, draw the free-body diagram needed to determine the reaction at C.