**Educational Content: Work Done on a Lawn Mower Problem****Problem Statement:**A middle school kid is pushing a lawn mower with 46 N of force at an angle 31 degrees below the horizontal and walks for a total of 350 m of distance to finish mowing a neighbor's lawn. How many Joules of work does the kid do to the lawn mower?**Hint:** Above and below horizontal is no difference in this question.**Explanation and Solution:****Step 1: Understand the Problem**- Force applied by the kid: 46 N- Angle of the force relative to the horizontal: 31 degrees- Distance walked: 350 m**Step 2: Decompose the Force**Since the force is applied at an angle, only the horizontal component of the force contributes to doing work:- Horizontal Component of Force (F_horizontal) = F * cos(θ) - F = 46 N - θ = 31 degrees - F_horizontal = 46 N * cos(31°) Using a calculator to find cos(31°):- cos(31°) ≈ 0.8572- F_horizontal ≈ 46 N * 0.8572 = 39.43 N**Step 3: Calculate the Work Done**Work done (W) is given by the product of the horizontal component of the force and the distance:- W = F_horizontal * d - d = 350 m - W = 39.43 N * 350 m - W ≈ 13,800 Joules**Answer:**The kid does approximately 13,800 Joules of work on the lawn mower.By decomposing the force into its horizontal component and using the definition of work, the work done by the kid can be accurately calculated, allowing students to understand how angles affect force application in real-world scenarios.

Name: **Educational Content: Work Done on a Lawn Mower Problem****Problem S
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: **Educational Content: Work Done on a Lawn Mower Problem****Problem Statement:**A middle school kid is pushing a lawn mower with 46 N of force at an angle 31 degrees below the horizontal and walks for a total of 350 m of distance to finish mowing a

Force = F = 46 N Displacement = S = 350 m The diagram is given below:

Science

Physics

A middle school kid is pushing a lawn mower with 46 N of force at an angle 31 degrees below the horizontal and walks for a total 350 m of distance to finish mowing a neighbor's lawn. How many Joules of work does the kid do to the lawn mower?

A middle school kid is pushing a lawn mower with 46 N of force at an angle 31 degrees below the horizontal and walks for a total 350 m of distance to finish mowing a neighbor's lawn. How many Joules of work does the kid do to the lawn mower?

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)...

See similar textbooks

Similar questions

The two ropes seen in the figure are used to lower a 255 kg piano exactly 6 m from a second-story window to the ground. How much work is done by w (with an arrow to the right)?Express your answer in joules. How much work is done by T1 (with an arrow to the right)?Express your answer in joules.
A 65.70 kg baseball player begins his slide into second base when moving at a speed of 6.090 m/s. The coefficient of friction between his clothes and the earth is 0.7480. How much work (in Joules) is done on the runner as he slides to a stop?
14. A coin slides over a frictionless plane and across an y coordinate system from the origin to a point with ry coordinates (3.0 m, 4.0 m) while a constant force acts on it. The force has magnitude 2.0N and is directed at a counterclockwise angle of 100 from the positive direction of the r axis. How much work is done by the force on the coin during the displacement?
9. A man pushes an 80-N crate up a frictionless slope that makes an angle of 30° with the horizontal. The man was able to push it to a distance of 5.0Om along the slope with a force parallel also to the slope. However the speed of the crate decreases at a rate of 1.5 m/s?. The work being done by the man is: A. -200 J В. 61J С. 140 J D. 200 J 14. A 6.0-kg block is released from rest 80 m above the ground. When it has fallen 60 m its kinetic energy is approximately: A. 4800 J В. 3500J C. 1200 J D. 120 J
The concepts in this problem are similar to those in Multiple-Concept Example 4, except that the force doing the work in this problem is the tension in the cable. A rescue helicopter lifts a 90.5-kg person straight up by means of a cable. The person has an upward acceleration of 0.512 m/s2 and is lifted from rest through a distance of 8.89 m. (a) What is the tension in the cable? How much work is done by (b) the tension in the cable and (c) the person's weight? (d) Use the work-energy theorem and find the final speed of the person.
A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle forward, the skier accelerates. A 79.5-kg water-skier has an initial speed of 7.4 m/s. Later, the speed increases to 10.6 m/s. Determine the work done by the net external force acting on the skier.
The only force acting on a 4.1 kg canister that is moving in an xy plane has a magnitude of 2.6 N. The canister initially has a velocity of 3.5 m/s in the positive x direction, and some time later has a velocity of 7.8 m/s in the positive y direction. How much work is done on the canister by the 2.6 N force during this time? Number i Units (>)
A plane having a mass of 22,000kg lands on an aircraft carrier. The plane is moving horizontally at 70 m/s when its tailhook grabs hold of the arresting cable. The cable brings the plane to a stop in a distance of 90 m. a) How much work is done on the plane by the arresting cable? b) What is the force(assumed constant) exerted on the plane by the cable?
A force F = bx acts in the î-direction, where the value of b is 3.70 N/m³. How much work is done by this foPee in moving an object from (ro, Yo) = (0,0) to (xf, yf) = (2.60, 0) m? (A) O J (B) 11.4 J (C) 42.3 J (D) 56.4 J (E) 75.0 J (F) 169.1 J
A 1.4 kg textbook is thrown out of a window at 8.67 m/s and directed at an angle of 50.1° above horizontal. The window is 6.26 m above the ground. The textbook strikes the ground at a speed of 10.2 m/s. How much work is done on the textbook by air-resistance?
A woman pushes a m = 2.40 kg carton a distance d = 5.80 m along the floor by a constant force of magnitude F = 16.0 N directed at an angle 8 = 21.0° below the horizontal as shown in the figure. Assume the floor is frictionless. (Enter your answers in joules.) Ⓡ (a) Determine the work done on the carton by the applied force (the force on the carton exerted by the woman). (b) Determine the work done on the carton by the normal force exerted by the floor. נן (c) Determine the work done on the carton by the gravitational force. (d) Determine the work done by the net force on the carton. נן
1. A visibly distraught Granny has emerged from her car (it seems everyone has been ignoring her and talking about planets), and is trying to get back on the road. She puts a shoulder against the rear bumper of her car (m 1600 kg) and applies a constant force of 20.0 N for a full 20.0 seconds. The car does not budge. How much work has Granny done? -