**Physics Problem: Projectile Motion****Question:**Rocky the Flying Squirrel is carrying a nut of mass 0.5 kg while flying horizontally at a height of 15 m above the ground at a speed of 12 m/s. Bullwinkle is eagerly awaiting the delivery of the nut on the ground. Rocky releases the nut as he is directly above Bullwinkle. How far from Bullwinkle will the nut land if Bullwinkle does not move?**Options:**- ○ 8.49 m- ○ 5.20 m- ○ 4.24 m- ○ 20.8 m**Explanation:**To solve this question, you need to apply the principles of projectile motion. Here's a step-by-step guide:1. **Determine the time taken for the nut to fall to the ground:** - The initial vertical velocity is 0 m/s (since it's only moving horizontally). - Use the equation for the vertical displacement due to gravity: \[ h = \frac{1}{2} g t^2 \] where \( h = 15 \, \text{m} \) is the height and \( g = 9.8 \, \text{m/s}^2 \) is the acceleration due to gravity. Solving for \( t \): \[ 15 = \frac{1}{2} \times 9.8 \times t^2 \] \[ t^2 = \frac{30}{9.8} \approx 3.06 \] \[ t \approx 1.75 \, \text{s} \]2. **Calculate the horizontal distance traveled by the nut:** - The horizontal velocity remains constant at 12 m/s. - The time of flight calculated above is \( t \approx 1.75 \) s. Use the formula for horizontal distance: \[ d = v \times t \] where \( v = 12 \, \text{m/s} \). Substituting the values: \[ d = 12 \times 1.75 \approx 21 \, \text{m} \]Since the closest answer to this calculation is 20.8 m, the correct option is:- ○

Rocky the Flying Squirrel is carrying a nut of mass 0.5 kg while flying horizontally at a height of 15 m above the ground at a speed of 12 m/s. Bullwinkle is eagerly awaiting the delivery of the nut on the ground. Rocky releases the nut as he is directly above Bullwinkle. How far from Bullwinkle will the nut land if Bullwinkle does not move? 8.49 m 5.20 m 4.24 m 20.8 m O O

Rocky the Flying Squirrel is carrying a nut of mass 0.5 kg while flying horizontally at a height of 15 m above the ground at a speed of 12 m/s. Bullwinkle is eagerly awaiting the delivery of the nut on the ground. Rocky releases the nut as he is directly above Bullwinkle. How far from Bullwinkle will the nut land if Bullwinkle does not move? 8.49 m 5.20 m 4.24 m 20.8 m O O

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And The Law Of Gravity

Section: Chapter Questions

Problem 12CQ: A child is practicing for a BMX race. His speed remains constant as he goes counterclockwise around...

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