A physics professor wants to build a spring-based nerf launcher.  (a) Ignoring air resistance (which would be a bad idea in this case), if the launcher is to have a range of 100 m when fired at an angle of 45°, then what would the muzzle velocity of the launcher need to be?  (b) Given that a nerf dart is about 1 gram, what would be the kinetic energy of the dart as it leaves the launcher?  (c) If launcher's spring is compressed 20 cm prior to firing, then what would the spring constant of the spring used in the launcher need to be?   Solve part (a) using kinematics since the time is your linchpin between the horizontal and vertical motion

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 9.7CYU: Check Your Understanding There is a second solution to the system of equations solved in this...
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A physics professor wants to build a spring-based nerf launcher.  (a) Ignoring air resistance (which would be a bad idea in this case), if the launcher is to have a range of 100 m when fired at an angle of 45°, then what would the muzzle velocity of the launcher need to be?  (b) Given that a nerf dart is about 1 gram, what would be the kinetic energy of the dart as it leaves the launcher?  (c) If launcher's spring is compressed 20 cm prior to firing, then what would the spring constant of the spring used in the launcher need to be?   Solve part (a) using kinematics since the time is your linchpin between the horizontal and vertical motion

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