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/sci/ - Science & Math

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2537796 No.2537796 [Reply] [Original]

Spring constant of 15600N/m, mass of 70kg with a velocity in the x direction only of 21.8910940795566m/s. The spring stops the mass.

How the fuck far does the spring compress?

I've tried P/K and KE/K, neither work.

>> No.2537808

The mass M has velocity and mass, thus energy (KE = .5*m*v*v), lets say the energy is X

The spring therefore must use exactly X amount of energy to stop it.

This energy is given by the force over distance (stopping energy = F*distance)

thus F = energy / distance

>> No.2537813

>>2537808

sorry and f = kx

so solve around distance

>> No.2537832

(0.5*15600*(x^2))=((21.8910940795566^2)*35)

>> No.2537835

>>2537832
Or basically 1/2 K x^2 = Ke (kinetic energy)