Problem 6: A cube of mass M = 0.2 kg starts from rest at a height of 30 cm = 0.3 m above a table. After going doing 30 cm on the ramp, the cube collides elastically with another come of mass m = 0.1 kg. Both cubes move horizontally when they leave the table, which is 90 cm = 0.9 m above the ground. Calculate the horizontal distance each cube travels before each cube hits the ground. Answer: x = 1.4 m for the cube of mass m and x = 0.34 m for the cube of mass M. M 30 cm m 90 cm

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Problem 6:**

A cube of mass \( M = 0.2 \, \text{kg} \) starts from rest at a height of 30 cm \( = 0.3 \, \text{m} \) above a table. After going down 30 cm on the ramp, the cube collides elastically with another cube of mass \( m = 0.1 \, \text{kg} \). Both cubes move horizontally when they leave the table, which is 90 cm \( = 0.9 \, \text{m} \) above the ground. Calculate the horizontal distance each cube travels before each cube hits the ground. 

**Answer:** \( x = 1.4 \, \text{m} \) for the cube of mass \( m \) and \( x = 0.34 \, \text{m} \) for the cube of mass \( M \).

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**Explanation of Diagram:**

The diagram depicts an inclined setup where a cube of mass \( M \) slides down a ramp from a height of 30 cm. It collides with a stationary cube of mass \( m \) at the base of the ramp. Both cubes then leave the table horizontally. The table's surface is 90 cm above the ground. A vertical arrow indicates the height of the ramp and the height of the table, labeled as 30 cm and 90 cm, respectively.
Transcribed Image Text:**Problem 6:** A cube of mass \( M = 0.2 \, \text{kg} \) starts from rest at a height of 30 cm \( = 0.3 \, \text{m} \) above a table. After going down 30 cm on the ramp, the cube collides elastically with another cube of mass \( m = 0.1 \, \text{kg} \). Both cubes move horizontally when they leave the table, which is 90 cm \( = 0.9 \, \text{m} \) above the ground. Calculate the horizontal distance each cube travels before each cube hits the ground. **Answer:** \( x = 1.4 \, \text{m} \) for the cube of mass \( m \) and \( x = 0.34 \, \text{m} \) for the cube of mass \( M \). --- **Explanation of Diagram:** The diagram depicts an inclined setup where a cube of mass \( M \) slides down a ramp from a height of 30 cm. It collides with a stationary cube of mass \( m \) at the base of the ramp. Both cubes then leave the table horizontally. The table's surface is 90 cm above the ground. A vertical arrow indicates the height of the ramp and the height of the table, labeled as 30 cm and 90 cm, respectively.
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