The block remains on the track at all times. (b) Calculate d. _____

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A small 0.70-kg box is launched from rest by a horizontal spring as shown in the figure below. The block slides on a track down a hill and comes to rest at a distance d from the base of the hill. The coefficient of kinetic friction between the box and the track is 0.36 along the entire track. The spring has a spring constant of 36.5 N/m and is compressed 30.0 cm with the box attached. The block remains on the track at all times.

(b) Calculate d. _____

The image depicts a mechanical setup involving a block attached to a spring on an inclined plane. Here's a detailed description:

1. **Spring System**: 
   - The left side shows a spring in a compressed state.
   - A block is placed immediately next to the spring.

2. **Inclined Plane**:
   - The surface is flat initially for a length of 30.0 cm, starting from the spring.
   - Following the flat surface, there is a downward incline with a length of 50.0 cm.

3. **Incline Angle**:
   - The incline makes an angle of 40° with the horizontal.

4. **Questioned Distance**:
   - After the incline, the plane becomes horizontal again.
   - There is another block placed on this horizontal surface, and the distance to this block is denoted as \( d = ? \).

This setup might be used to study the motion of the block once released from the spring, calculating the unknown distance \( d \) where the block comes to rest, or any related physics concepts such as energy transformations or friction effects on inclined planes.
Transcribed Image Text:The image depicts a mechanical setup involving a block attached to a spring on an inclined plane. Here's a detailed description: 1. **Spring System**: - The left side shows a spring in a compressed state. - A block is placed immediately next to the spring. 2. **Inclined Plane**: - The surface is flat initially for a length of 30.0 cm, starting from the spring. - Following the flat surface, there is a downward incline with a length of 50.0 cm. 3. **Incline Angle**: - The incline makes an angle of 40° with the horizontal. 4. **Questioned Distance**: - After the incline, the plane becomes horizontal again. - There is another block placed on this horizontal surface, and the distance to this block is denoted as \( d = ? \). This setup might be used to study the motion of the block once released from the spring, calculating the unknown distance \( d \) where the block comes to rest, or any related physics concepts such as energy transformations or friction effects on inclined planes.
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