Physics Homework?
A 5.8 × 105 kg subway train is brought to a stop from a speed of 0.55 m/s in 0.45 m by a large spring bumper at the end of its track.
1.) What is the force constant k of the spring in N/m?
A 5.8 × 105 kg subway train is brought to a stop from a speed of 0.55 m/s in 0.45 m by a large spring bumper at the end of its track.
1.) What is the force constant k of the spring in N/m?
oubaas
Favorite Answer
m*V^2 = k*x^2
k = m*V^2/x^2 = 5.8*10^5*0.55^2/0.45^2 = 8.7*10^5 N/m
Whome
The kinetic energy will be converted to spring potential
½kx² = ½mv²
k = mv²/x²
k = 5.8e5(0.55²) / 0.45²
k = 866,419.753... ≈ 8.7e5 N/m◄