An object of mass 9.5 kg is released at point A, slides to the bottom of the 30° incline, then collides with a horizontal massless spring, compressing it a maximum distance of 0.75 m. The spring constant is 450 N/m, the height of the incline is 2.0 m, and the horizontal surface is frictionless. A 2.0 m 30° Image Description a. What is the speed of the object at the bottom of the incline? m/s b. What is the work of friction on the object while it is on the incline? W; = c. The spring recoils and sends the object back toward the incline. What is the speed of the object J when it reaches the base of the incline? m/s d. What vertical distance does it move back up the incline? h = m
An object of mass 9.5 kg is released at point A, slides to the bottom of the 30° incline, then collides with a horizontal massless spring, compressing it a maximum distance of 0.75 m. The spring constant is 450 N/m, the height of the incline is 2.0 m, and the horizontal surface is frictionless. A 2.0 m 30° Image Description a. What is the speed of the object at the bottom of the incline? m/s b. What is the work of friction on the object while it is on the incline? W; = c. The spring recoils and sends the object back toward the incline. What is the speed of the object J when it reaches the base of the incline? m/s d. What vertical distance does it move back up the incline? h = m
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Author:Raymond A. Serway, Chris Vuille
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An object of mass 9.5 kg is released at point A, slides to the bottom of the 30o incline, then collides with a horizontal massless spring, compressing it a maximum distance of 0.75 m. The spring constant is 450 N/m, the height of the incline is 2.0 m, and the horizontal surface is frictionless.
Image Description
- What is the speed of the object at the bottom of the incline?
v=v= m/s - What is the work of friction on the object while it is on the incline?
Wf=Wf= J - The spring recoils and sends the object back toward the incline. What is the speed of the object when it reaches the base of the incline?
v=v= m/s - What vertical distance does it move back up the incline?
h=h= m
![The image presents a physics problem involving an object on an inclined plane. Here is the transcription and explanation for educational purposes:
**Problem Statement:**
An object of mass 9.5 kg is released at point A, slides to the bottom of the 30° incline, then collides with a horizontal massless spring, compressing it a maximum distance of 0.75 m. The spring constant is 450 N/m, the height of the incline is 2.0 m, and the horizontal surface is frictionless.
**Diagram Description:**
- The diagram shows an inclined plane with an angle of 30° and a height of 2.0 m.
- An object at point A is depicted sliding down the incline.
- At the base of the incline, there is a horizontal spring meant to compress upon collision.
**Questions to Solve:**
a. What is the speed of the object at the bottom of the incline?
\( v = \_\_\_\_\_ \, \text{m/s} \)
b. What is the work of friction on the object while it is on the incline?
\( W_f = \_\_\_\_\_ \, \text{J} \)
c. The spring recoils and sends the object back toward the incline. What is the speed of the object when it reaches the base of the incline?
\( v = \_\_\_\_\_ \, \text{m/s} \)
d. What vertical distance does it move back up the incline?
\( h = \_\_\_\_\_ \, \text{m} \)
**Explanation of the Diagram:**
- An incline forms a right triangle with the horizontal ground.
- The spring positioned horizontally at the bottom right of the incline compresses when the object strikes it.
- The angle of the incline is clearly marked as 30°.
- The object starts from a height of 2.0 m and moves downward due to gravity, reaching a horizontal path at the spring.
This setup requires applying concepts of energy conservation, forces on an incline, and spring mechanics to solve the posed questions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54957ca0-36d5-4278-b202-6dee07a291c4%2Fe6a21056-9faa-4029-8320-a1173bb8a7df%2F9rjwo4a_processed.png&w=3840&q=75)
Transcribed Image Text:The image presents a physics problem involving an object on an inclined plane. Here is the transcription and explanation for educational purposes:
**Problem Statement:**
An object of mass 9.5 kg is released at point A, slides to the bottom of the 30° incline, then collides with a horizontal massless spring, compressing it a maximum distance of 0.75 m. The spring constant is 450 N/m, the height of the incline is 2.0 m, and the horizontal surface is frictionless.
**Diagram Description:**
- The diagram shows an inclined plane with an angle of 30° and a height of 2.0 m.
- An object at point A is depicted sliding down the incline.
- At the base of the incline, there is a horizontal spring meant to compress upon collision.
**Questions to Solve:**
a. What is the speed of the object at the bottom of the incline?
\( v = \_\_\_\_\_ \, \text{m/s} \)
b. What is the work of friction on the object while it is on the incline?
\( W_f = \_\_\_\_\_ \, \text{J} \)
c. The spring recoils and sends the object back toward the incline. What is the speed of the object when it reaches the base of the incline?
\( v = \_\_\_\_\_ \, \text{m/s} \)
d. What vertical distance does it move back up the incline?
\( h = \_\_\_\_\_ \, \text{m} \)
**Explanation of the Diagram:**
- An incline forms a right triangle with the horizontal ground.
- The spring positioned horizontally at the bottom right of the incline compresses when the object strikes it.
- The angle of the incline is clearly marked as 30°.
- The object starts from a height of 2.0 m and moves downward due to gravity, reaching a horizontal path at the spring.
This setup requires applying concepts of energy conservation, forces on an incline, and spring mechanics to solve the posed questions.
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