Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 5, Problem 73PQ
To determine
Find the angle that the rope makes with the ground.
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Ezra is pulling a sled, filled with snow, by pulling on a rope attached to the sled. The rope makes an angle θ with respect to the horizontal ground, and the sled is being pulled at a constant speed. If the sled and snow have a total mass of m, the acceleration due to gravity is g, the magnitude of the normal force is
FN,
and the coefficient of kinetic friction between the sled and the ground is μk, what is the angle θ that the rope makes with the ground in terms of these five quantities? (Use the following as necessary: m, g, FN, and μk.)
You managed to pull a heavy crate up a ramp on a truck. The crate has mass 45 kg.
You were pulling with 478 N of force along the ramp while the ramp made an angle
of theta=25.5 degrees with the horizontal. The coefficient of kinetic friction between
the crate and the ramp is 0.47.
What is the acceleration of the crate along the ramp?
Two children are pulled on a sled over snow-covered ground. The sled is pulled by a rope that makes
an angle of 35° with the horizontal. The children have a combined mass of 45 kg and the sled has a
mass of 5.0 kg. The coefficients of static and kinetic friction are u, = 0.20 and µ, = 0.15.
Calculate the maximum possible force of static friction between the sled and snow.
If the tension in the rope is 95 N, will the sled move? Justify your answer.
Chapter 5 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 5.2 - Because Newtons first law is counterintuitive, it...Ch. 5.2 - Train Collision and Newtons First Law A group of...Ch. 5.3 - Shown in Figure 5.4 are four situations in which a...Ch. 5.3 - A person stands on a spring scale in an elevator...Ch. 5.4 - Prob. 5.5CECh. 5.5 - Prob. 5.6CECh. 5.6 - a. Take a moment to be sure that you understand...Ch. 5.7 - Imagine weighing the same bunch of bananas with...Ch. 5.7 - For all three situations, find the magnitude and...Ch. 5.9 - Prob. 5.10CE
Ch. 5.9 - A child jumping off the monkey bars at a...Ch. 5.9 - Prob. 5.12CECh. 5 - Why is it easier to lift a very large beach ball...Ch. 5 - Prob. 2PQCh. 5 - Imagine pushing two blocks on ice. The light block...Ch. 5 - When Julia Child would cook an omelet, she would...Ch. 5 - Prob. 5PQCh. 5 - Prob. 6PQCh. 5 - Prob. 7PQCh. 5 - Prob. 8PQCh. 5 - Prob. 9PQCh. 5 - Prob. 10PQCh. 5 - Prob. 11PQCh. 5 - You blow a small piece of paper through the air....Ch. 5 - Prob. 13PQCh. 5 - Prob. 14PQCh. 5 - Prob. 15PQCh. 5 - Prob. 16PQCh. 5 - Prob. 17PQCh. 5 - A ball hanging from a light string or rod can be...Ch. 5 - Prob. 19PQCh. 5 - You are riding a luxury bus. In front of you is a...Ch. 5 - Prob. 21PQCh. 5 - A particle with mass m = 4.00 kg accelerates...Ch. 5 - The x and y coordinates of a 4.00-kg particle...Ch. 5 - In the movie Garden State, one of the characters...Ch. 5 - The starship Enterprise has its tractor beam...Ch. 5 - A race car is moving around a circular track at a...Ch. 5 - A particle of mass m1 accelerates at 4.25 m/s2...Ch. 5 - Prob. 28PQCh. 5 - Two forces F1=(62.98i15.80j) N and...Ch. 5 - Three forces F1=(62.98i15.80j) N,...Ch. 5 - A hockey stick pushes a 0.160-kg puck with...Ch. 5 - If the vector components of the position of a...Ch. 5 - If the vector components of the position of a...Ch. 5 - A 15.0-kg object is in free fall near the surface...Ch. 5 - A black widow spider hangs motionless from a web...Ch. 5 - Determine whether each of the following statements...Ch. 5 - You place tomatoes in the pan of a hanging spring...Ch. 5 - Kinetic friction is proportional to the normal...Ch. 5 - A student takes the elevator up to the fourth...Ch. 5 - A sleigh is being pulled horizontally by a train...Ch. 5 - Two blocks are connected by a rope that passes...Ch. 5 - Find an expression for the carts acceleration in...Ch. 5 - A woman uses a rope to pull a block of mass m...Ch. 5 - A student working on a school project modeled a...Ch. 5 - One great form of athletic competition for...Ch. 5 - A heavy crate of mass 50.0 kg is pulled at...Ch. 5 - A block with mass m1 hangs from a rope that is...Ch. 5 - To get in shape, you head to the local gym to...Ch. 5 - A block with mass m1 hangs from a rope that is...Ch. 5 - FIGURE P5.49 Problems 49 and 50. Suppose the...Ch. 5 - Two objects, m1 = 3.00 kg and m2 = 8.50 kg, are...Ch. 5 - A runaway piano starts from rest and slides down a...Ch. 5 - Does the ground need to exert a force on you for...Ch. 5 - A boxer breaks his hand by punching another boxers...Ch. 5 - Prob. 55PQCh. 5 - A textbook rests on a movable wooden plank that is...Ch. 5 - Prob. 57PQCh. 5 - Prob. 58PQCh. 5 - Prob. 59PQCh. 5 - A worker is attempting to lift a 55.0-kg palette...Ch. 5 - Prob. 61PQCh. 5 - A concept map is a visual representation of...Ch. 5 - A 75.0-g arrow, fired at a speed of 110 m/s to the...Ch. 5 - Prob. 64PQCh. 5 - A box with mass m1 = 6.00 kg sliding on a rough...Ch. 5 - Prob. 66PQCh. 5 - A cosmic ray muon with mass m = 1.88 1028 kg...Ch. 5 - Prob. 68PQCh. 5 - Prob. 69PQCh. 5 - A 1.50-kg particle initially at rest and at the...Ch. 5 - A block of ice (m = 15.0 kg) with an attached rope...Ch. 5 - A block of ice (m = 15.0 kg) with an attached rope...Ch. 5 - Prob. 73PQCh. 5 - Starting from rest, a rectangular toy block with...Ch. 5 - When a 1.50-kg dress hangs midway from a taut...Ch. 5 - Jamal and Dayo are lifting a large chest, weighing...Ch. 5 - A heavy chandelier with mass 125 kg is hung by...Ch. 5 - Two children, Raffi and John, sitting on sleds...Ch. 5 - Two boxes with masses m1 = 4.00 kg and m2 = 10.0...Ch. 5 - Two blocks of mass m1 = 1.50 kg and m2 = 5.00 kg...Ch. 5 - An aerial demonstration aircraft dives at an angle...Ch. 5 - A painter sits on a scaffold that is connected to...Ch. 5 - Three crates with masses m1 = 5.45 kg, m2 = 7.88...Ch. 5 - A small block with mass m is set on the top of an...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A black widow spider hangs motionless from a web that extends vertically from the ceiling above. If the spider has a mass of 1.5 g, what is the tension in the web?arrow_forwardA crate remains stationary after it has been placed on a ramp inclined at an angle with the horizontal. Which of the following statements must be true about the magnitude of the frictional force that acts on the crate? (a) It is larger than the weight of the crate. (b) It is at least equal to the weight of the crate. (c) It is equal to sn. (d) It is greater than the component of the gravitational force acting down the ramp. (e) It is equal to the component of the gravitational force acting down the ramp.arrow_forwardA cable attached to a block of mass 13 kg pulls the block along a horizontal floor at a constant velocity. If the tension in the cable is 5.1 N, what is the coefficient of kinetic friction between the block and the floor?arrow_forward
- A man is walking up a hill inclined at 24 degrees at constant speed while pulling a 23.6 kg box by a rope that is attached to it. If the angle the rope makes with the surface of the hill is 31 degrees and the coefficient of kinetic friction between the box and the hill is 0.10, what is the tension in the rope?arrow_forwardA boy pulls a sled of mass 5.0 kg with a rope that makes a 60 degree angle with respect to the horizontal surface. He pulls on the rope with a force of 10.0 N; and the sled moves with constant velocity. What is the coefficient of friction between the sled and the ice?arrow_forwardTwo workers are sliding 390 kg crate across the floor. One worker pushes forward on the crate with a force of 450 NN while the other pulls in the same direction with a force of 290 NN using a rope connected to the crate. Both forces are horizontal, and the crate slides with a constant speed. What is the crate's coefficient of kinetic friction on the floor?arrow_forward
- A large crate has a mass of 120 kg and sits on a horizontal floor. You push on the crate with a horizontal force of 550 N, but the crate does not move. The coefficient of static friction between the crate and the floor is 0.6. What is the magnitude of the static frictional force acting on the crate?arrow_forwardIn the first figure here, a sled is held on an inclined plane by a cord pulling directly up the plane. The sled is to be on the verge of moving up the plane. In the second figure, the magnitude F required of the cord's force on the sled is plotted versus the coefficient of static friction u, between sled and plane: F1 = 1.69 N, F2 = 5.38 N, and µ2 = 0.543. At what angle 0 is the plane inclined? F F2 Number i Unitarrow_forwardA box of mass m = 20.0 kg is pulled up a ramp that is inclined at an angle 0 15.0° angle with respect to the horizontal. The coefficient of kinetic friction between the box and the ramp is µk = 0.285, and the rope pulling the box is parallel to the ramp. If the box accelerates up the ramp at a rate of a 2.89 m/s?, calculate the tension Fr in the rope. Use g = 9.81 m/s² for the acceleration due to gravity. FT = 150.95 Narrow_forward
- A sled is on an icy (frictionless) slope that is 30° above the horizontal. When a force of 40 N oriented parallel to the incline and directed up the incline, is applied to the sled, the acceleration of the sled is 2.0 m/s² down the incline. The normal force acting on the sled is:arrow_forwardA rope is attached to Box A, and it is pulled on a rough surface due east with friction. The mass of Box A is 50 kg, and the tension force applied to the box is 100 N due east. If Box A is pulled by the tension force for 4.0 s, and the velocity changes from 0.1 m/s due east to 0.65 m/s due east during the time Box A is pulled, answer the following questions. (a) What is the acceleration of Box A during the time it is pulled? (b) What is the change in kinetic energy of Box A during the time it is pulled? (c) What is the net work done on Box A by the tension force and the frictional force together? (d) What is the work done on Box A by the tension force alone? (e) What is the work done on Box A by the frictional force alone?arrow_forwardA large block of ice is being pulled across a frozen lake. The block of ice has a mass of 300 kg. The coefficient of friction between two ice surfaces is small: μk = 0.05. What is the force of friction that is acting on the block of ice?arrow_forward
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