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Use the worked example above to help you solve this problem. A sled is tied to a tree on a frictionless, snow-covered hill, as shown in Figure (a). If the sled weighs 67.0 N, find the magnitude of the tension force T exerted by the rope on the sled and that of the normal force n exerted by the hill on the sled. T = n = EXERCISE HINTS: GETTING STARTED I'M STUCK! Use the values from PRACTICE IT to help you work this exercise. Suppose a child of weight w climbs onto the sled. If the tension force is measured to be 60.5 N, find the weight of the child and the magnitude of the normal force acting on the sled. = n =

Use the worked example above to help you solve this problem. A sled is tied to a tree on a frictionless, snow-covered hill, as shown in Figure (a). If the sled weighs 67.0 N, find the magnitude of the tension force T exerted by the rope on the sled and that of the normal force n exerted by the hill on the sled. T = n = EXERCISE HINTS: GETTING STARTED I'M STUCK! Use the values from PRACTICE IT to help you work this exercise. Suppose a child of weight w climbs onto the sled. If the tension force is measured to be 60.5 N, find the weight of the child and the magnitude of the normal force acting on the sled. = n =

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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SOLUTION Apply Newton's second law to the sled, with a = 0. F-7.5-F, -o Extract the x-component from this = T + 0 – mg sin 0 = T - (77.0 N)(sin 30.0°) = 0 equation to find T. The x-component of T = 38.5 N the normal force is zero, and the sled's weight is given by mg = 77.0 N. Write the y-component of Newton's > Fy =0 + n – mg cos 0 = n – (77.0 N)(cos 30.0°) = 0 second law. The y-component of the tension is zero, so this equation will n = 66.7 N give the normal force. LEARN MORE REMARKS Unlike its value on a horizontal surface, n is less than the weight of the sled when the sled is on the slope. This is because only part of the force of gravity (the x-component) is acting to pull the sled down the slope. The y-component of the force of gravity balances the normal force. QUESTION Consider the same scenario on a hill with a steeper slope. Would the magnitude of the tension in the rope get larger, smaller, or remain the same as before? O The magnitude of the tension force would be greater. O The magnitude of the tension force would be smaller. O The magnitude of the tension force would remain the same. How would the normal force be affected? O The magnitude of the normal force would be greater. O The magnitude of the normal force would be smaller. The magnitude of the normal force would remain the same. BROCTICE IT
Transcribed Image Text:SOLUTION Apply Newton's second law to the sled, with a = 0. F-7.5-F, -o Extract the x-component from this = T + 0 – mg sin 0 = T - (77.0 N)(sin 30.0°) = 0 equation to find T. The x-component of T = 38.5 N the normal force is zero, and the sled's weight is given by mg = 77.0 N. Write the y-component of Newton's > Fy =0 + n – mg cos 0 = n – (77.0 N)(cos 30.0°) = 0 second law. The y-component of the tension is zero, so this equation will n = 66.7 N give the normal force. LEARN MORE REMARKS Unlike its value on a horizontal surface, n is less than the weight of the sled when the sled is on the slope. This is because only part of the force of gravity (the x-component) is acting to pull the sled down the slope. The y-component of the force of gravity balances the normal force. QUESTION Consider the same scenario on a hill with a steeper slope. Would the magnitude of the tension in the rope get larger, smaller, or remain the same as before? O The magnitude of the tension force would be greater. O The magnitude of the tension force would be smaller. O The magnitude of the tension force would remain the same. How would the normal force be affected? O The magnitude of the normal force would be greater. O The magnitude of the normal force would be smaller. The magnitude of the normal force would remain the same. BROCTICE IT
The magnitude of the normal force would be greater. O The magnitude of the normal force would be smaller. The magnitude of the normal force would remain the same. PRACTICE IT Use the worked example above to help you solve this problem. A sled is tied to a tree on a frictionless, snow-covered hill, as shown in Figure (a). If the sled weighs 67.0 N, find the magnitude of the tension force exerted by the rope on the sled and that of the normal force n exerted by the hill on the sled. T = N n = N EXERCISE HINTS: GETTING STARTED I'M STUCK! Use the values from PRACTICE IT to help you work this exercise. Suppose a child of weight w climbs onto the sled. If the tension force is measured to be 60.5 N, find the weight of the child and the magnitude of the normal force acting on the sled. W = n %3D
Transcribed Image Text:The magnitude of the normal force would be greater. O The magnitude of the normal force would be smaller. The magnitude of the normal force would remain the same. PRACTICE IT Use the worked example above to help you solve this problem. A sled is tied to a tree on a frictionless, snow-covered hill, as shown in Figure (a). If the sled weighs 67.0 N, find the magnitude of the tension force exerted by the rope on the sled and that of the normal force n exerted by the hill on the sled. T = N n = N EXERCISE HINTS: GETTING STARTED I'M STUCK! Use the values from PRACTICE IT to help you work this exercise. Suppose a child of weight w climbs onto the sled. If the tension force is measured to be 60.5 N, find the weight of the child and the magnitude of the normal force acting on the sled. W = n %3D
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