**Understanding Height Change on an Inclined Plane Using a Sonar Device**You've placed a sonar device at the top of a frictionless inclined plane. This device measures the distance of an object from the device, its speed, and its acceleration.If we consider the origin (h = 0) to be at the sonar device, our goal is to determine the height change as we slide down the incline.Given:- The angle below the horizontal: 9.74°- Distance slid down the incline: 0.54 m**Objective:**Calculate the height change and report your answer as a negative number. This value will be useful for calculating the change in gravitational potential energy, as we will explore in the lab.**Visual Representation:**Below the text, there is a diagram of an inclined plane. The sonar device is placed at the top (marked as h = 0), and an object is shown at a point further down the incline, having moved a distance labeled as ''x''. The incline angle is represented as the angle formed between the horizontal baseline and the inclined surface.To calculate the height change (Δh), we use the trigonometric relationship:Δh = -x * sin(θ)Where:- x = 0.54 m (distance along the incline)- θ = 9.74° (angle below the horizontal)Plugging in the values:Δh = -0.54 m * sin(9.74°)Calculating this,Δh ≈ -0.091 m This negative value indicates a decrease in height as the object moves down the incline.In summary, the height change from the top of the incline to the object's current position is approximately -0.091 meters. This concept and value are crucial for understanding the change in gravitational potential energy involved.

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Description: **Understanding Height Change on an Inclined Plane Using a Sonar Device**You've placed a sonar device at the top of a frictionless inclined plane. This device measures the distance of an object from the device, its speed, and its acceleration.If we

In a right angle triangle sinθ =PerpendicularHypotenuse

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You have put a sonar device at the top of a frictionless inclined plane. That device allows you to measure the distance an object is from the device, as well as the speed and the acceleration of that object. If we decide that the origin (h = 0) is at the sonar device, we want to know what the height change is as we slide down the incline. For an angle below the horizontal of 9.74°, we see that our object has slid a distance 0.54 m, as measured along the incline itself. Calculate the height change and report your answer as a negative number. (This value would be useful for calculating the change in gravitational potential energy, as we will do in the lab.)

You have put a sonar device at the top of a frictionless inclined plane. That device allows you to measure the distance an object is from the device, as well as the speed and the acceleration of that object. If we decide that the origin (h = 0) is at the sonar device, we want to know what the height change is as we slide down the incline. For an angle below the horizontal of 9.74°, we see that our object has slid a distance 0.54 m, as measured along the incline itself. Calculate the height change and report your answer as a negative number. (This value would be useful for calculating the change in gravitational potential energy, as we will do in the lab.)

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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