3. A 10 g bullet is fired into a 2.00 kg block sitting on a horizontal frictionless surface. The bullet remains embedded in the block which slides towards a forty degree incline with a coefficient of friction equal to 0.10. The block and bullet slide a distance of 4.00 m up the incline. What was the initial speed of the bullet? 2.00 µ = 0.10 10 g kg d = 4.00 m 40°

icon
Related questions
Question
3
**Problem 3: Physics of Motion**

A 10 g bullet is fired into a 2.00 kg block sitting on a horizontal frictionless surface. The bullet remains embedded in the block, which then slides towards a 40-degree incline. The incline has a coefficient of friction equal to 0.10. The block and bullet slide a distance of 4.00 m up the incline. What was the initial speed of the bullet?

**Diagram Explanation:**

- The system is composed of a bullet and a block.
- The bullet, weighing 10 g, is initially moving towards the block.
- The block has a mass of 2.00 kg and is initially at rest on the horizontal frictionless surface.
- After the bullet embeds in the block, they move together towards an incline.
- The incline makes an angle of 40 degrees with the horizontal.
- The coefficient of friction on the incline is given as 0.10.
- The block and bullet travel a distance of 4.00 m up the incline.

**Variables:**

- Bullet mass: 10 g 
- Block mass: 2.00 kg
- Incline angle: 40 degrees
- Coefficient of friction: 0.10
- Distance traveled up the incline: 4.00 m

This problem involves concepts such as conservation of momentum and energy, and frictional forces on an inclined plane.
Transcribed Image Text:**Problem 3: Physics of Motion** A 10 g bullet is fired into a 2.00 kg block sitting on a horizontal frictionless surface. The bullet remains embedded in the block, which then slides towards a 40-degree incline. The incline has a coefficient of friction equal to 0.10. The block and bullet slide a distance of 4.00 m up the incline. What was the initial speed of the bullet? **Diagram Explanation:** - The system is composed of a bullet and a block. - The bullet, weighing 10 g, is initially moving towards the block. - The block has a mass of 2.00 kg and is initially at rest on the horizontal frictionless surface. - After the bullet embeds in the block, they move together towards an incline. - The incline makes an angle of 40 degrees with the horizontal. - The coefficient of friction on the incline is given as 0.10. - The block and bullet travel a distance of 4.00 m up the incline. **Variables:** - Bullet mass: 10 g - Block mass: 2.00 kg - Incline angle: 40 degrees - Coefficient of friction: 0.10 - Distance traveled up the incline: 4.00 m This problem involves concepts such as conservation of momentum and energy, and frictional forces on an inclined plane.
Expert Solution
Step 1

Given m=10g=0.01kg, M=2kg, θ=40⁰, μ=0.10, d=4.00m

steps

Step by step

Solved in 2 steps with 5 images

Blurred answer