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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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

 

  1. What is the speed of the object at the bottom of the incline?
    v=v=  m/s
  2. What is the work of friction on the object while it is on the incline?
    Wf=Wf=  J
  3. 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
  4. 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.
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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