The sled in Figure 4.2 is stuck in the snow. A child pulls on the rope and finds that the sled just barely begins to move when he pulls with a force of 25 N, with the rope at an angle of 30° with respect to the horizontal, (a) Sketch the sled and all the forces acting on it. Also choose a coordinate system, (b) Determine the components of all the forces on the sled along the coordinate axes. (c) Write the conditions for static equilibrium along your two coordinate directions. (d) If the sled has a mass of 12 kg, what is the coefficient of friction between the sled and the snow? (e) Is this the coefficient of static friction or the coefficient of kinetic friction? (f) If the child continues to pull on the sled and it has an acceleration of 0.30 m/s2, find the coefficient of kinetic friction between the sled and the snow.
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
College Physics, Volume 1
- The two tug boats pull the oil rig to travel in the direction shown in calm water. (See left directed arrow). Tug A pulls with a force of 30 kN directed at the angle alpha of 47 deg and Tug B pulls at the angle beta of 36 deg. Determine the pull force of Tug B so the oil rig travels in the direction of the x axis. Determine the force of Tug B in kN. The oil rig is subjected to the towing forces described in P5 and travels in the direction shown at a constant velocity of 0.9 km/hr when tugs. Determine the 'drag' force exerted by the water on the oil rig in kN.")arrow_forwardBillie Budten and Mia Neezhirt are having an intense argument at the lunch table. They are adding two force vectors together to determine the resultant force. The magnitude of the two forces are 3 N and 4 N. Billie is arguing that the sum of the two forces is 7 N. Mia argues that the two forces add together to equal 5 N. Who is right? Explain.arrow_forwardThe diagram shows the two forces with magnitudes F1 and F2 acting on a body. The first force is in the positive x direction, while the second makes an angle θ with the negative x direction, as shown.If the magnitudes are related by F1 = 2.25F2, and θ = 48.5 degrees, then what is the angle φ that the acceleration vector makes with the x-axis, in degrees? (How do I approach this problem?)arrow_forward
- our forces act on an object, given by A = 48.3 N east,B = 42.3 N north,C = 64.7 N west, and D = 84.7 N south.(Assume east and north are directed along the +x-axis and +y-axis,respectively.) (a) What is the magnitude of the net force (in N) on the object? (b) What is the direction of the force? (Enter your answer in degrees counterclockwise from the +x-axis.)arrow_forwardKJ PropieiIS 1.9 For each of the systems of forces acting at a point in Figure 4.21, determine the magnitude and direction of the resultant by constructing polygons of forces. 4 kN 10 kN 6 kN 5 kN 10 kN 150 N 150 N 45° 30° 60° 30° 30° [45° 300 N 16 kN 1 6 KN 20 kN (b) (c) 1000 N 6 kN 4 kN 500 N 30° 20° 30 90° 433 N 30° 60° 50° 1 kN (d) (e) 3 kN 750 N If you don't know all parts just skip for other need complete solution with all parts .arrow_forwardTwo crates connected by a rope lie on a horizontal surface (Figure 1). Crate A has mass mA and crate B has mass mB. The coefficient of kinetic friction between each crate and the surface is μk. The crates are pulled to the right at constant velocity by a horizontal force F. In terms of mA, mB, and μk, calculate the magnitude of the force F. Express your answer in terms of some or all of the variables mA, mB, μk, and acceleration due to gravity g. In terms of mA, mB, and μk, calculate the tension in the rope connecting the blocks. Include the free-body diagram or diagrams you used to determine each answer.arrow_forward
- The diagram below is a top-down view of two children pulling a 12.0-kg sled along the snow. The first child exerts a force of F, = 14 N at an angle e, = 45° counterclockwise from the positive x direction. The second child exerts a force of F, = 8 N at an angle e, = 30° clockwise from the positive x direction. F2 (a) Find the magnitude (in N) and direction of the friction force acting on the sled if it moves with constant velocity. magnitude 17.83 direction (counterclockwise from the +x-axis) 199.31 (b) What is the coefficient of kinetic friction between the sled and the ground? 0.15 (c) What is the magnitude of the acceleration (in m/s?) of the sled if F, is doubled and F, is halved in magnitude? x m/s² 2.44arrow_forwardA 1160 Kg car is being pulled up a frictionless ramp at a constant speed as shown. The cable makes an angle of 31 degrees above the surface of the ramp, and the ramp itself rises at 25 degrees above the horizontal. Draw all the required force vectors with their tails starting at the black dot on the front bumper showing the location and orientation of the vectors. Find the tension in the cable in Newtons. How hard does the surface of the ramp push on the car (in Newtons)?arrow_forwardA student is pulling a crate with a mass of 83.0 kg along a horizontal frictionless floor with a rope that’s inclined at an angle θ = 30.0° above the horizontal as shown. The tension force is measured to be 232 N. What is the magnitude of the normal force on the crate from the floor, in Newtons? Use g = 10.0 m/s2.arrow_forward
- A robot pushes a 20-kg box on the horizontal surface as part of the moving job. The force is 35 N to the left shown, and the box does not move. The coefficients of friction between the floor and box are us = 0.75 and uk = 0.40. What is the minimum pushing force (magnitude only) needed to move the box, in Newtons? Use g = 10 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.arrow_forwardAn object of mass m is subjected to three forces: F1, F2, and F3. In the right figure, the three forces are shown in their respective directions. The forces F1 and F3 have a magnitude of F, while F2 has a value of 2F. What is the object's acceleration? Remember that an acceleration is a vector and express it in terms of F and m.arrow_forwardThe diagram below shows a block of mass m=2.00kg on a frictionless horizontal surface, as seen from above. Three forces of magnitudes F1=4.00N, F2=6.00N, and F3=8.00N are applied to the block, initially at rest on the surface, at angles shown on the diagram. (Figure 1) In this problem, you will determine the resultant (total) force vector from the combination of the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (i.e., all angles are positive). Part A) Calculate the magnitude of the total resultant force Fr= F1+F2+F3 acting on the mass. Part B) What angle does Fr make with the positive x axis? Part C) What is the magnitude and direction of the mass's acceleration vector, a ? Part D) How far (in meters) will the mass move in 5.0 s? Part E) What is the magnitude of the velocity vector of the block at t=5.0s? Part F) In what direction is the mass moving at time t=5.0s?arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University