Question

A spring in a dart gun is compresscht a distance of 0.05 m. The spring has a spring constant

of 1,115 N/m. If the dart has a mass of 0.025 kg, determine the velocity of the dart as it
leaves the dart gun.

Answer 1

Step-by-step explanation:

ASSUMING that the dart is fired horizontally so that gravity potential energy considerations are not needed. Also ignoring friction work.

The spring potential will convert to kinetic.

KE = PS

½mv² = ½kx²

v =
`√(kx^2/m)`

v =
`√(1115(0.05^2)/0.025)`

v = 10.55935...

v = 11 m/s