### Problem Description:An object is traveling along the \( y \) axis with the potential energy shown in the figure. If the object has a mass of \( 4.50 \, \text{kg} \) and a speed of \( 8.40 \, \text{m/s} \) at the origin, determine the total energy of the object, the force acting on the object, the acceleration of the object, and the speed of the object at the following positions. (For the relevant answer boxes, indicate the direction with the sign of your answer.)### Graph Explanation:- **Axes**: - The horizontal axis represents the position \( y \) in meters (m). - The vertical axis represents the potential energy \( U \) in joules (J).- **Graph Details**: - The graph is a piecewise linear plot with two lines. - At \( y = 0 \), the potential energy \( U = 10 \, \text{J} \). - The potential energy decreases linearly to \( U = 0 \) at \( y = 10 \, \text{m} \). - From \( y = 10 \, \text{m} \) to \( y = 20 \, \text{m} \), the potential energy increases linearly back to \( U = 10 \, \text{J} \). This graph represents a symmetrical potential energy landscape with a minimum at \( y = 10 \, \text{m} \). The object experiences changes in potential energy as it moves along the \( y \)-axis, influencing its kinetic energy, speed, and acceleration according to the principles of energy conservation and mechanics. The image presents a physics problem where certain values need to be determined. It is structured as follows:- **Context**: The height \( y \) is provided as 18.0 meters.- **Variables to Determine**: - \( E = \) ___ J (Energy in Joules) - \( F = \) ___ N (Force in Newtons) - \( a = \) ___ m/s\(^2\) (Acceleration in meters per second squared) - \( v = \) ___ m/s (Velocity in meters per second)The task appears to involve filling in the boxes with the appropriate values for energy, force, acceleration, and velocity based on the given height. This is likely part of a broader educational exercise involving principles of physics such as gravity, potential energy, or kinematics.

Name: ### Problem Description:An object is traveling along the \( y \) axis
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Description: ### Problem Description:An object is traveling along the \( y \) axis with the potential energy shown in the figure. If the object has a mass of \( 4.50 \, \text{kg} \) and a speed of \( 8.40 \, \text{m/s} \) at the origin, determine the total energ

this question is about conversation of energy . the energy of interacting bodies or particle in closed system remains constant.1.Total energy E = 10 J ( because at the highest point of potential energy , kinetic energy would be smallest Total energy = P.E.+ K.E. so for entire system at any position total energy would be same. ) 2. Force (F) = ∆U/∆y N = 10-0/ 20-15 = 10/5 = 2 N ( at any point between 15 to 20 m force would be the same 2 N ) 3. Acceleration (a) = F/m m/s^2 = 2 /4.5 = 0.44 m/s^2 ( acceleration would be the same because force is constant between 15 to 20 m ) 4. Velocity at y= 18 m (v) = 8.504 m/s first of all we have to find velocity at 10 m where kinetic energy is high with help of given initial velocity V0 = 8.4 m/s for that we have to find acceleration (a) for 0 to 10 m region for 0 to 10 region Force (F1) = ∆U / ∆ y = 10 / 10-0 = 10/10 = 1 N Acceleration (a) = F/m = 1/ 4.5 = 0.22 m/s^2 velocity (v1) v^2 = u^2 + 2as ( where s = distance ) v^2 = (8.4)^2 + 2 * 0.22* 10 v^2 = 74.96 v = 8.65 m/s At point y = 18 m velocity ( for that point initial velocity is 8.65 m/s ) it is upward graph for potential energy so that for kinetic energy is downward so velocity should be lower when particle moves toward 15 to 20 m V^2 = U^2 - 2as v^2 =(8.65)^2 - 2*0.44*3 v^2 = 74.96 - 2.64 v^2 = 72.32 v = 8.504 m/s

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Physics

An object is traveling along the y axis with the potential energy shown in the figure. If the object has a mass of 4.50 kg and a speed of 8.40 m/s at the origin, determine the total energy of the object, the force acting on the object, the acceleration of the object, and the speed of the object at the following positions. (For the relevant answer boxes, indicate the direction with the sign of your answer.) U (J) 10 6 4 2 y (m) 5 10 15 20

An object is traveling along the y axis with the potential energy shown in the figure. If the object has a mass of 4.50 kg and a speed of 8.40 m/s at the origin, determine the total energy of the object, the force acting on the object, the acceleration of the object, and the speed of the object at the following positions. (For the relevant answer boxes, indicate the direction with the sign of your answer.) U (J) 10 6 4 2 y (m) 5 10 15 20

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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