I. A boy uses a rope to pull a loaded sled of mass m = 125 kg along a horizontal surface of snow at aconstant acceleration a start from rest. The coefficient of kinetic friction μ between the runners andthe snow is 0.10, and the angle o equals to 30°. If in 5.0 seconds, the sled reaches a horizontalvelocity of 2.5 m/s, find out a) the tension T in the rope, b) the work done by the boy on the sled, c)the kinetic energy change of the sled. d) Is the work-energy theorem held in this case? Why or whynot?

Variables and FormulasMass of the sled, m=125kgCoefficient of kinetic friction, μk=0.10Angle of…

Answered: I. A boy uses a rope to pull a loaded…

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 83AP: A crate of weight Fg is pushed by a force P on a horizontal floor as shown in Figure P4.83. The...

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A crate of weight Fg is pushed by a force P on a horizontal floor as shown in Figure P4.83. The coefficient of static friction is s, and P is directed at angle below the horizontal. (a) Show that the minimum value of P that will move the crate is given by P=sFgsec1stan (b) Find the condition on in terms of , for which motion of the crate is impossible for any value of P. Figure P4.83
(a) Find the tension in each cable supporting the 6.00 102-N cat burglar in Figure P4.35. (b) Suppose the horizontal cable were reattached higher up on the wall. Would the tension in the other cables increase, decrease, or stay the same? Why? Figure P4.35
Two blocks, each of mass m, are hung from the ceiling of an elevator as in Figure P4.33. The elevator has an upward acceleration a. The strings have negligible mass. (a) Find the tensions T1 and T2 in the upper and lower strings in terms of m, a, and g. (b) Compare the two tensions and determine which string would break first if a is made sufficiently large. (c) What are the tensions if the cable supporting the elevator breaks? Figure P4.33 Problems 33 and 34.
Two blocks, each of mass m = 3.50 kg, are hung from the ceiling of an elevator as in Figure P4.33. (a) If the elevator moves with an upward acceleration a of magnitude 1.60 m/s2, find the tensions T1 and T2 in the upper and lower strings. (b) If the strings can withstand a maximum tension of 85.0 N, what maximum acceleration can the elevator have before a string breaks? Figure P4.33 Problems 33 and 34.
(a) What is the minimum force of friction required to hold the system of Figure P4.74 in equilibrium? (b) What coefficient of static friction between the 100.-N block and the table ensures equilibrium? (c) If the coefficient of kinetic friction between the 100.-N block and the table is 0.250, what hanging weight should replace the 50.0-N weight to allow the system to move at a constant speed once it is set in motion? Figure P4.74
A 3.00-kg object is moving in a plane, with its x and y coordinates given by x = 5t2 1 and y = 3t3 + 2, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 2.00 s.
The coefficient of static friction between the 3.00-kg crate and the 35.0 incline of Figure P4.31 is 0.300. What minimum force F must be applied to the crate perpendicular to the incline to prevent the crate from sliding down the incline? Figure P4.31
For the woman being pulled forward on the toboggan in Figure 4.33, is the magnitude of the normal force exerted by the ground on the toboggan (a) equal to the total weight of the woman plus the toboggan, (b) greater than the total weight, (c) less than the total weight, or (d) possibly greater than or less than the total weight, depending on the size of the weight relative to the tension in the rope?
A 24 kg box is being pulled by a horizontal rope along a floor at aconstant speed (v = 1.0m/s). There is friction between the floor and the box with k = 0.40.a. The formula for tension in the rope is given by:a) T = μk gcosθb) T = Fnsinθc) T = μk mgd) none of these b. What is the magnitude of the tension?
A 61 kg crate is dragged across a floor by pulling on a rope attached to the crate and inclined 14° above the horizontal. (a) If the coefficient of static friction is 0.50, what minimum force magnitude is required from the rope to start the crate moving? (b) If μk = 0.31, what is the magnitude of the initial acceleration (m/s^2) of the crate?
In the following figure m_1 = 20.0 kg and angle = 51.4 degrees. The coefficient of kinetic friction between the block and the incline is μ_k = 0.40. a) What must be the mass (m_2) of the hanging block if it is to descend 13.5 m in the first 3.00 s after the system is released from rest?
the coefficient of static friction between block A and a horizontal floor is 0.320, and the coefficient of static friction between block B and the floor is 0.300. The mass of each block is 2.00kg,and they are connected together by a cord. If a horizontal force F pulling on block B is slowly increased ,in a direction parallel to the connectin cord,until the block start sliding ,what is the magnitude of F at the instant that they start to slide?

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