Use the worked example above to help you solve this problem. An Eskimo returning from a successful fishing trip pulls a sled loaded with salmon. The total mass of the sled and salmon is 50.0 kg, and the Eskimo exerts a force of 1.30 x 102 N on the sled by pulling on the rope. (a) How much work does he do on the sled if the rope is horizontal to the ground (0 = 0° in the figure) and he pulls the sled 5.40 m? J (b) How much work does he do on the sled if 0 = 30.0° and he pulls the sled the same distance? (Treat the sled as a point particle, so details such as the point of attachment of the rope make no difference.) J (c) At a coordinate position of 5.40 m, the Eskimo lets up on the applied force. A friction force of 50.0 N between the ice and the sled brings the sled to rest at a coordinate position of 10.40 m. How much work does friction do on the sled? J
Use the worked example above to help you solve this problem. An Eskimo returning from a successful fishing trip pulls a sled loaded with salmon. The total mass of the sled and salmon is 50.0 kg, and the Eskimo exerts a force of 1.30 x 102 N on the sled by pulling on the rope. (a) How much work does he do on the sled if the rope is horizontal to the ground (0 = 0° in the figure) and he pulls the sled 5.40 m? J (b) How much work does he do on the sled if 0 = 30.0° and he pulls the sled the same distance? (Treat the sled as a point particle, so details such as the point of attachment of the rope make no difference.) J (c) At a coordinate position of 5.40 m, the Eskimo lets up on the applied force. A friction force of 50.0 N between the ice and the sled brings the sled to rest at a coordinate position of 10.40 m. How much work does friction do on the sled? J
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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![**PRACTICE IT**
Use the worked example above to help you solve this problem. An Eskimo returning from a successful fishing trip pulls a sled loaded with salmon. The total mass of the sled and salmon is 50.0 kg, and the Eskimo exerts a force of 1.30 × 10² N on the sled by pulling on the rope.
(a) How much work does he do on the sled if the rope is horizontal to the ground (θ = 0° in the figure) and he pulls the sled 5.40 m?
[Input box] J
(b) How much work does he do on the sled if θ = 30.0° and he pulls the sled the same distance? (Treat the sled as a point particle, so details such as the point of attachment of the rope make no difference.)
[Input box] J
(c) At a coordinate position of 5.40 m, the Eskimo lets up on the applied force. A friction force of 50.0 N between the ice and the sled brings the sled to rest at a coordinate position of 10.40 m. How much work does friction do on the sled?
[Input box] J
---
**EXERCISE**
Suppose the Eskimo is pushing the same 50.0-kg sled across level terrain with a force of 55.0 N.
(a) If he does 4.55 × 10² J of work on the sled while exerting the force horizontally, through what distance must he have pushed it?
[Input box] m
(b) If he exerts the same force at an angle of 50.0° with respect to the horizontal and moves the sled through the same distance, how much work does he do on the sled?
[Input box] J
**HINTS:** [GETTING STARTED] | [I'M STUCK!]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a2be487-a4f1-4704-8a71-b11163658c73%2F7f4a4c29-d236-4cba-8e0b-64534e614d2e%2Fxlawrqe_processed.png&w=3840&q=75)
Transcribed Image Text:**PRACTICE IT**
Use the worked example above to help you solve this problem. An Eskimo returning from a successful fishing trip pulls a sled loaded with salmon. The total mass of the sled and salmon is 50.0 kg, and the Eskimo exerts a force of 1.30 × 10² N on the sled by pulling on the rope.
(a) How much work does he do on the sled if the rope is horizontal to the ground (θ = 0° in the figure) and he pulls the sled 5.40 m?
[Input box] J
(b) How much work does he do on the sled if θ = 30.0° and he pulls the sled the same distance? (Treat the sled as a point particle, so details such as the point of attachment of the rope make no difference.)
[Input box] J
(c) At a coordinate position of 5.40 m, the Eskimo lets up on the applied force. A friction force of 50.0 N between the ice and the sled brings the sled to rest at a coordinate position of 10.40 m. How much work does friction do on the sled?
[Input box] J
---
**EXERCISE**
Suppose the Eskimo is pushing the same 50.0-kg sled across level terrain with a force of 55.0 N.
(a) If he does 4.55 × 10² J of work on the sled while exerting the force horizontally, through what distance must he have pushed it?
[Input box] m
(b) If he exerts the same force at an angle of 50.0° with respect to the horizontal and moves the sled through the same distance, how much work does he do on the sled?
[Input box] J
**HINTS:** [GETTING STARTED] | [I'M STUCK!]
![**Example 5.1: Sledding Through the Yukon**
**Goal:**
Apply the basic definitions of work done by a constant force.
**Problem:**
An Eskimo returning from a successful fishing trip pulls a sled loaded with salmon. The total mass of the sled and salmon is 50.0 kg, and the Eskimo exerts a force of \(1.20 \times 10^2 \, \text{N}\) on the sled by pulling on the rope.
(a) How much work does he do on the sled if the rope is horizontal to the ground (\(\theta = 0^\circ\)) and he pulls the sled 5.00 m?
(b) How much work does he do on the sled if \(\theta = 30.0^\circ\) and he pulls the sled the same distance? (Treat the sled as a point particle, so details such as the point of attachment of the rope make no difference.)
(c) At a coordinate position of 12.4 m, the Eskimo lets up on the applied force. A friction force of 45.0 N between the ice and the sled brings the sled to rest at a coordinate position of 18.2 m. How much work does friction do on the sled?
**Strategy:**
Substitute the given values of \(F\) and \(\Delta x\) into the basic equations for work.
---
**Solution:**
**(A)** Find the work done when the force is horizontal.
Use the proper equation, substituting the given values.
\[ W = F_x \Delta x = (1.20 \times 10^2 \, \text{N})(5.00 \, \text{m}) = \boxed{6.00 \times 10^2 \, \text{J}} \]
**(B)** Find the work done when the force is exerted at a \(30^\circ\) angle.
Use the proper equation, again substituting the given values.
\[ W = (F \cos \theta) d = (1.20 \times 10^2 \, \text{N})(\cos 30.0^\circ)(5.00 \, \text{m}) = \boxed{5.20 \times 10^2 \, \text{J}} \]
**(C)** How much work does a friction force of \(45.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a2be487-a4f1-4704-8a71-b11163658c73%2F7f4a4c29-d236-4cba-8e0b-64534e614d2e%2Frxbswqr_processed.png&w=3840&q=75)
Transcribed Image Text:**Example 5.1: Sledding Through the Yukon**
**Goal:**
Apply the basic definitions of work done by a constant force.
**Problem:**
An Eskimo returning from a successful fishing trip pulls a sled loaded with salmon. The total mass of the sled and salmon is 50.0 kg, and the Eskimo exerts a force of \(1.20 \times 10^2 \, \text{N}\) on the sled by pulling on the rope.
(a) How much work does he do on the sled if the rope is horizontal to the ground (\(\theta = 0^\circ\)) and he pulls the sled 5.00 m?
(b) How much work does he do on the sled if \(\theta = 30.0^\circ\) and he pulls the sled the same distance? (Treat the sled as a point particle, so details such as the point of attachment of the rope make no difference.)
(c) At a coordinate position of 12.4 m, the Eskimo lets up on the applied force. A friction force of 45.0 N between the ice and the sled brings the sled to rest at a coordinate position of 18.2 m. How much work does friction do on the sled?
**Strategy:**
Substitute the given values of \(F\) and \(\Delta x\) into the basic equations for work.
---
**Solution:**
**(A)** Find the work done when the force is horizontal.
Use the proper equation, substituting the given values.
\[ W = F_x \Delta x = (1.20 \times 10^2 \, \text{N})(5.00 \, \text{m}) = \boxed{6.00 \times 10^2 \, \text{J}} \]
**(B)** Find the work done when the force is exerted at a \(30^\circ\) angle.
Use the proper equation, again substituting the given values.
\[ W = (F \cos \theta) d = (1.20 \times 10^2 \, \text{N})(\cos 30.0^\circ)(5.00 \, \text{m}) = \boxed{5.20 \times 10^2 \, \text{J}} \]
**(C)** How much work does a friction force of \(45.
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