I need help on questions 10-11? **Review of Formulas**1. **Displacement and Velocity:** \[ \Delta \vec{r} = \vec{v}_{\text{avg}} \Delta t \quad \text{(how far, how fast, how long)} \]2. **Momentum and Kinetic Energy:** \[ \vec{p} = m \vec{v} \] \[ K = \frac{1}{2}mv^2 \]3. **Force and Momentum:** \[ \vec{F} = \frac{d}{dt} \vec{p} \quad \text{or} \quad \vec{F} = \frac{\Delta \vec{p}}{\Delta t} \]4. **Relative Velocities:** \[ \vec{v}_{Eb} = \vec{v}_{Es} + \vec{v}_{sb} \] \[ \vec{v}_{Eb} = -\vec{v}_{bE} \]5. **Center of Mass:** \[ \vec{r}_{cm} = \frac{m_1 \vec{r}_1 + m_2 \vec{r}_2 + \ldots}{m_1 + m_2 + \ldots} \]6. **Velocity of Center of Mass:** \[ \vec{v}_{cm} = \frac{\vec{p}_{\text{tot}}}{m_{\text{tot}}} = \frac{m_1 \vec{v}_1 + m_2 \vec{v}_2 + \ldots}{m_1 + m_2 + \ldots} \]7. **Final Momentum:** \[ \vec{p}_{\text{final}} = \vec{p}_{\text{initial}} + \Delta \vec{p}_{\text{in}} - \Delta \vec{p}_{\text{out}} \]**Isolated System:**- Conservation of Total Momentum: \[ \vec{p}_{\text{tot i}} = \vec{p}_{\text{tot f}} \]- Conservation in Collisions: \[ m_1 \vec{v}_{1i **Educational Website Content**---**Physics Problem Set****Question 9:**Two carts are moving toward each other on a track and collide. The following table shows the data for the collision:| | Cart 1 | Cart 2 ||--------------|-------------|-------------|| Mass | 280 g | 320 g || Initial velocity | 0.60 m/s to the right | 0.30 m/s to the left || Final velocity | 0.20 m/s to the left | 0.40 m/s to the right|**Tasks:**(a) What is the coefficient of restitution of this collision?(b) Is this collision totally elastic? Explain.(c) Calculate the initial velocity of the center of mass of the system that includes both carts.(d) Calculate the change in total momentum of the system that includes both carts and explain whether what you find is reasonable.(e) Calculate the change in total kinetic energy of the system that includes both carts and explain whether what you find is reasonable.(f) Make a new table that lists the velocities of the carts relative to a reference frame that is moving 0.20 m/s 'to the left' according to the coordinate system used in the table above.---**Question 10:**The map of city streets to the right shows blocks that are 40 m wide and 75 m long. A person walks along the streets from A to B in 2.0 minutes (as directly as they can while staying on the streets).Illustration: A grid map showing streets. Points A and B are marked, with measurements of 100 m (vertical) and 200 m (horizontal) indicated.**Tasks:**(a) What is the magnitude and direction of the person’s displacement?(b) What is the person’s average speed?(c) What is the person’s average velocity?---**Question 11:**The position of a 25 kg robot that is moving along a straight track in the x direction is given by the function: \( x(t) = (0.001 \, \text{m/s}^4)t^4 + (-0.04 \, \text{m/s}^3)t^3 + (0.4 \, \text{m/s}^2)t^2 \) between the times \( t = 0 \) and \( t = 20

Name: I need help on questions 10-11? **Review of Formulas**1. **Displacemen
Uploaded: 2024-03-05T11:56:34.000Z
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Description: I need help on questions 10-11? **Review of Formulas**1. **Displacement and Velocity:** \[ \Delta \vec{r} = \vec{v}_{\text{avg}} \Delta t \quad \text{(how far, how fast, how long)} \]2. **Momentum and Kinetic Energy:** \[ \vec{p} = m \vec{v