Jump o... Print Calculator Periodic Table Question 10 of 14 Map Sapling Learning
ID: 1782313 • Letter: J
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Jump o... Print Calculator Periodic Table Question 10 of 14 Map Sapling Learning Mickey, a daredevil mouse of mass 0.0201 kg, is attempting to become the world's first "mouse cannonball." He is loaded into a The gun's spring has force constant of 87.3 N/m and is initially compressed a distance of 0.139 m from its relaxed position. If Mickey has a constant horizontal speed of 2.47 m/s while he is flying through the air, how high above his initial location in the gun does Mickey soar? Take g 9.81 m/'s gun up at some angle, and is shot into the air Number Hint 0 Previous Give Up & View Solton e, Check Answer 0 Next Ex 0 888 fa FS F6 F8 5 8 9Explanation / Answer
The potential energy initially is equal to the springs potential energy PE spring = 1/2kx^2
k is the spring constant and x is the distance
This is equal to the potential energy while he is in motion added to the kinetic energy
PE spring = PE + KE
0.5kx^2 = mgh + 0.5mv^2
h = (0.5kx^2 - 0.5mv^2)/mg
= (0.5 * 87.3 N/m * 0.139^2 m^2 - 0.5 * 0.0201 kg * 2.47^2 m^2/s^2)/(0.0201 kg * 9.81 m/s^2)
= 3.966 m
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