Three objects of the same mass begin their motion at the same height. One object falls straight down, one slides down a low-friction inclined plane, and one swings in a circular arc on the end of a string. All three objects end at the same height. On which object does gravity do the most work?   A) The object in free fall B) The object sliding down the low-friction incline C) The object traversing the circular arc D) Gravity does equal work on all three objects

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Three objects of the same mass begin their motion at the same height. One object falls straight down, one slides down a low-friction inclined plane, and one swings in a circular arc on the end of a string. All three objects end at the same height. On which object does gravity do the most work?
 
A) The object in free fall
B) The object sliding down the low-friction incline
C) The object traversing the circular arc
D) Gravity does equal work on all three objects
The image depicts a schematic diagram illustrating a physics concept involving motion. 

Key elements include:

1. **Vertical Arrow and Height (H):**
   - On the left, there's a vertical arrow pointing downward, indicating a force or gravitational pull.
   - The height is labeled "H," representing the vertical distance between two horizontal dashed lines.

2. **Green Triangle:**
   - A green right-angled triangle is positioned next to the vertical arrow.
   - An arrow inside the triangle suggests motion along the hypotenuse, likely illustrating an inclined plane scenario.

3. **Dotted Circular Path:**
   - To the right, a particle is shown moving along a dotted circular path.
   - The path starts at one pink circle and moves downward and to the right, ending at another pink circle.

4. **Lines and Arrows:**
   - Several pink circles are connected by dashed lines forming a pathway.
   - Arrows indicate the direction of motion or force at each stage, suggesting a sequence of dynamic interactions.

This diagram can be used to teach concepts related to forces, motion on inclined planes, and circular motion, highlighting gravitational and directional forces.
Transcribed Image Text:The image depicts a schematic diagram illustrating a physics concept involving motion. Key elements include: 1. **Vertical Arrow and Height (H):** - On the left, there's a vertical arrow pointing downward, indicating a force or gravitational pull. - The height is labeled "H," representing the vertical distance between two horizontal dashed lines. 2. **Green Triangle:** - A green right-angled triangle is positioned next to the vertical arrow. - An arrow inside the triangle suggests motion along the hypotenuse, likely illustrating an inclined plane scenario. 3. **Dotted Circular Path:** - To the right, a particle is shown moving along a dotted circular path. - The path starts at one pink circle and moves downward and to the right, ending at another pink circle. 4. **Lines and Arrows:** - Several pink circles are connected by dashed lines forming a pathway. - Arrows indicate the direction of motion or force at each stage, suggesting a sequence of dynamic interactions. This diagram can be used to teach concepts related to forces, motion on inclined planes, and circular motion, highlighting gravitational and directional forces.
Expert Solution
Step 1: Observing all the three cases

We know that 

work done by gravity is 

W equals m g h

where m is the mass of the object and g is acceleration due to gravity and h is the height of the object above the ground.

When we observe the diagrams, we can say that mass and height of the object is same

and acceleration due to gravity is constant

steps

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