**Problem 3:**A 95.5-kg football player running north at 6.25 m/s is tackled by a 105-kg player running south at 4.90 m/s. If they stick together during the collision, what is the magnitude and direction of their velocity right after the collision?**Explanation:**This problem involves an inelastic collision where two objects stick together after colliding. We can solve this using the principle of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.- **Step 1:** Calculate the momentum of each player before the collision. - Momentum is mass times velocity. - For the north-running player: \( p_1 = 95.5 \, \text{kg} \times 6.25 \, \text{m/s} \) - For the south-running player: \( p_2 = 105 \, \text{kg} \times (-4.90) \, \text{m/s} \) (Note: The south direction is considered negative.)- **Step 2:** Add the momenta to find the total momentum before the collision. - **Step 3:** Use the conservation of momentum to find the velocity of the combined mass after the collision. - Total mass = \( 95.5 \, \text{kg} + 105 \, \text{kg} \) - Solve for velocity using: \[ v_{\text{final}} = \frac{p_{\text{total}}}{\text{total mass}} \]- **Result:** This velocity will provide both the magnitude and direction because the sign will indicate the direction (positive for north, negative for south).

Given data: Mass of first player (m1) = 95.5 kg Initial velocity of first player (V1) = +6.25 m/s…

A 95.5-kg football player running north at 6.25 m/s is tackled by a 105-kg player running south at 4.90 m/s. If they stick together during the collision, what is the magnitude and direction of their velocity right after the collision?

A 95.5-kg football player running north at 6.25 m/s is tackled by a 105-kg player running south at 4.90 m/s. If they stick together during the collision, what is the magnitude and direction of their velocity right after the collision?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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