One type of bb gun uses a spring-driven plunger to blow the bb from its barrel. (a) calculate the force constant of its plunger's spring if you must compress it 0.150 m to drive the 0.0500-kg plunger to a top speed of 20.0 m/s. (b) what force must be exerted to compress the spring?

Question

Ashanti Gregory

Physics

3 May, 05:42

One type of bb gun uses a spring-driven plunger to blow the bb from its barrel. (a) calculate the force constant of its plunger's spring if you must compress it 0.150 m to drive the 0.0500-kg plunger to a top speed of 20.0 m/s. (b) what force must be exerted to compress the spring?

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Cocoa · Answer 1

using energy conservation equation,

a) 0.5*kx^2 = 0.5 mv^2

0.5 * K * (0.150) ^2 = 0.5 * 0.0500 * 20^2

0.01125K = 10

K = 888.8889 N/m

b)

force = kx = 888.8889 * 0.150 = 133.3333 N