Speed Pinball
Speed Pinball
Launching speed?
The ball launcher in a pinball machine has a spring with a force constant of 1.60 N/cm http://www.webassign.net/sercp/p5-71.gif . The surface on which the ball moves is inclined 10.0° with respect to the horizontal. If the spring is initially compressed 3.00 cm, find the launching speed of a 0.100 kg ball when the plunger is released. Friction and the mass of the plunger are negligible.
Let the collision be elastic.
the kinetic energy of the spring,E= (kx^2)/2
where k is the force constant and x the compression of the spring.
E= 1.60N/cm x 3^2cm^2= 1.60 x 10^2N/m x 9 x 10^-4 m^2
= 14.4 x 10^-2 J= 0.144J
This kinetic energy is imparted to the ball.
i.e (mv^2)/2 = 0.144
mv^2 = 0.288
V^2= 0.288/m = 0.288/0.100=2.88
V = square root of 2.88
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