1 ### Problem StatementA 15 kg block A slides on a surface with a coefficient of kinetic friction of 0.3. The block has a velocity of 11 m/s when it is at a distance \( s \) of 4 meters from a 10 kg block B. The unstretched spring has a stiffness of 1000 N/m. The coefficient of restitution is 0.6. The coefficient of friction is the same for both blocks. Determine the maximum compression of the spring due to the collision.### Diagram Explanation- **Blocks and Surface**: There are two blocks labeled A and B positioned on a flat surface with block B being connected to a fixed wall by a spring with stiffness \( k \).- **Block A**: - Mass: 15 kg - Initial Velocity: 11 m/s - Distance \( s \): 4 meters from block B- **Block B**: - Mass: 10 kg- **Spring**: - Stiffness \( k \): 1000 N/m - Initially unstretched- **Friction**: - Coefficient of kinetic friction: 0.3 - Acts on both block A and block B equally- **Coefficient of Restitution**: 0.6### Tasks- Determine the maximum compression of the spring due to the collision.### Detailed ExplanationFirst, we need to calculate the initial kinetic energy of block A as it slides towards block B. We will account for the energy lost due to friction over the distance \( s \). Then, we will use the principles of conservation of momentum and energy to analyze the collision between the blocks and the spring compression.#### Step-by-Step Solution1. **Initial Kinetic Energy of Block A**: \[ KE_{A, \text{initial}} = \frac{1}{2} m_A v^2 = \frac{1}{2} \times 15 \, \text{kg} \times (11 \,\text{m/s})^2 = 907.5 \,\text{J} \]2. **Work Done by Friction on Block A**: \[ W_{\text{friction}} = \mu \cdot m_A \cdot g \cdot s = 0.3 \cdot 15 \,\text{kg

Given data as per the question velocity of block =11 m/s Coefficient of restitution =0.6 spring…

The 15 kg block A slides on the surface for which coefficient of kinetic friction is 0.3. The block has a velocity of 11 m/s when it is a distance, s, that is 4 m from the 10 kg block B. The unstretched spring has a stiffness of 1000 N/m. The coefficient of restitution is 0.6. The coefficient of friction is the same for both blocks. Determine the maximum compression of the spring due to the collision. WWW A B