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- 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.Task 7 F m A box with mass m is affected by a constant force F with makes the angle a with a horizontal table (see the figure above). This force, in combination with the frictional force between the box and the surface, causes the box to move with a constant velocity v along the table. The frictional coefficient between the box and the surface is Ak. Decide the normal force N on the box from the surface expressed by the box's weight G, the frictional coefficient Ak. and the angle a. Choose one alternative: ΟΝ: mg 1+pk cos a ΟΝ mg 1+sin a mg O N 1+Hk sin a O N = mg Hk cos a mg ΟΝ: 1+µk tan aA 5.4kg box is released on an incline as shown. The coefficient of kinetic friction is 0.22. Neglect drag. How many forces are acting on the box? What is the magnitude of the normal force? unit v What is the magnitude of the friction? unit What is the magnitude of the net force? unit What is the magnitude of box's acceleration? 31... unit cannot be determined check answers e Forces, complete problems 2 entific Online Calculator B1m/s?, vsound 343m/s t 3 significant figures 1 PM Rain to stop a GA 26/2022 OType here to search 1OC VE = at =-9.81x 3-20 -Vf= -31-39 t-3 20 340 dist=50 2 かで+9585
- 2. Consider the three masses connected as shown below. The inclined plane makes an angle 0 with the horizontal and the coefficient of kinetic friction for all surfaces is pa. The pullies are massless and frictionless. The mass m, moves downward as shown. Answer the following questions. a) Draw the free body diagrams for cach of the masses. b) Apply Newton's second law to each of the masses. DO NOT solve the equations yet. Just set them up. c) Solve your equations in part b) for the acceleration of the system. Your expression for the acceleration should only contain mi, m2, m3, 0, pk, and various constants.Problem#2 Questions: 2. Two masses were connected by a frictionless pulley and is placed in an inclined plane with kinetic friction coefficient of u=0.2 as shown in figure below. If we let mass m2 to move at a constant speed downwards, give the following: a. Draw the FBD and write the summation of all forces acting on the masses. b. Solve for mass m2 if mass mi = 4kg. c. Find the tension force of the string. Problem#2: * Direction: Please indicate your name and section in every photo of your answers. Encircle your final answers. m1 m2 30° 45°A ihh B QUESTION 3 Please refer to the diagram for questions In the provided diagram, position B is at the top of a hill of radius 31.4 m.An amusement park guest of mass 47.3 kg travels over B at 13.1 m/s. While at position B, the guest experiences two vertical forces: gravity [down] and one additional vertical force. Calculate the value of this other force. Where does this force come from?
- The diagram below shows an object of mass m= 20kg being acted upon by a force F=50N at an angle of θ=30o. The coefficient of kinetic friction between the object and the surface is 0.100. a.Draw a Free Body diagram for the object. Be sure to show all forces as well as the reference x,y axis. and Using Newton’s 2nd law, write the force equations for both the x and the y directions. Write these equations in terms of the letters m, F, θ, FN, g, f (little f stands for the friction force). X-direction: _______________________________________________________________ Y-direction:________________________________________________________________ b.Solve for the Normal Force c .Use your answer from part b to find the frictional force. d .Solve for the acceleration of the object. e.If this object was originally moving at 4 m/s, how fast would it be moving after 8 seconds? f .How far will…Pre-Lab Question #5: In each of the situations below, the masses all have a weight of 10 newtons. The pulleys are frictionless and the masses are not moving. Indicate what the scale will read in each situation, and explain your reasoning. A ВLearning Goal: To be able to set up and analyze the free-body diagrams and equations of motion for a system of particles. Consider the mass and pulley system shown. Mass m₁ = 35 kg and mass m₂ = 12 kg. The angle of the inclined plane is given, and the coefficient of kinetic friction between mass m₂ and the inclined plane is 0.19. Assume the pulleys are massless and frictionless.(Figure 1) Figure M₂ M₁ < 1 of 1 ▼ What is the acceleration of mass me on the inclined plane? Take positive acceleration to be up the ramp. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) Submit v(45)= º Submit μA Value Part B - Finding the speed of the mass moving up the ramp after a given time If the system is released from rest, what is the speed of mass m₂ after 4 s? Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) Submit ! HÅ Value Units 2= Value µÅ A Part C- Finding the distance moved by…
- A 10.0 kg crate is being pulled across the floor by a cable, as shown in (Figure 1). The friction force between the crate and the floor is f=24.6 N, and the crate is accelerating to the right at 2.00 m/s². Determine (a) the component of the tension force along the direction of motion, (b) the magnitude of the tension force, (c) the component of the tension force perpendicular to the floor, and (d) the normal force on the crate. Figure T 30° 1 of 1A student releases a system on an incline as shown. The coefficient of friction of static friction between the 23kg box and the surface is 0.23 and the coefficient of kinetic friction is 0.080. Neglect drag. What is the magnitude of maximum static friction between the block and the surface in this situation? What is the magnitude of the friction? What is the magnitude of the net force on the system? What is the magnitude of the system's acceleration? What is the tension in the string?Return to page 61 of the Student Module Booklet and begin Lesson 3. For questions 11 to 14, read each question carefully. Decide which of the choices BEST completes the statement or answers the question. Place your answer in the blank space given. 11. You can reduce the braking force required to stop a car by A. lengthening the braking time B. reducing the braking time C. increasing the friction between the tires and the road D. increasing the friction between the brake pads and drums 12. To decrease the forces experienced in an accident, A. decrease the time over which the change in momentum occurs B. increase the time over which the change in momentum occurs C. increase the change in velocity D. increase the mass of the vehicle