A 250-N child is in a swing that is attached to a pair of ropes 1.80 m long. Find the gravitational potential energy of the child-Earth system relative to the child's lowest position at the following times. (a) when the ropes are horizontal (b) when the ropes make a 28.0° angle with the vertical (c) when the child is at the bottom of the circular arc

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem Statement:**

A 250-N child is in a swing that is attached to a pair of ropes 1.80 m long. Find the gravitational potential energy of the child–Earth system relative to the child's lowest position at the following times.

**Tasks:**

(a) When the ropes are horizontal  
\[ \text{Gravitational Potential Energy:} \, \boxed{ \, \, \text{ } } \, \text{J} \]

(b) When the ropes make a 28.0° angle with the vertical  
\[ \text{Gravitational Potential Energy:} \, \boxed{ \, \, \text{ } } \, \text{J} \]

(c) When the child is at the bottom of the circular arc  
\[ \text{Gravitational Potential Energy:} \, \boxed{ \, \, \text{ } } \, \text{J} \]
Transcribed Image Text:**Problem Statement:** A 250-N child is in a swing that is attached to a pair of ropes 1.80 m long. Find the gravitational potential energy of the child–Earth system relative to the child's lowest position at the following times. **Tasks:** (a) When the ropes are horizontal \[ \text{Gravitational Potential Energy:} \, \boxed{ \, \, \text{ } } \, \text{J} \] (b) When the ropes make a 28.0° angle with the vertical \[ \text{Gravitational Potential Energy:} \, \boxed{ \, \, \text{ } } \, \text{J} \] (c) When the child is at the bottom of the circular arc \[ \text{Gravitational Potential Energy:} \, \boxed{ \, \, \text{ } } \, \text{J} \]
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