Question

A 2.9 kg block slides with a speed of 1.1 m/s on a frictionless, horizontal surface until it encounters a spring.

(a) If the block compresses the spring 5.2 cm before coming to rest, what is the force constant of the spring?

(b) What initial speed should the block have if it is to compress the spring by 1.3 cm?

Answer 1

mass of block m = 2.9 kg Initial speed , Vi = 1.1 m/s Masumim compression Im = 5.20m am = 5.24152m Fnal velocity Vf= omis Energy conservation &mv - Ekonom k = mv,² - 2.97 1.12 X (5:2410212 k = 1297.7071 N/M = 1298 Nm) 6 Maximum compression to = 1.3cm Xo = 1.34102m. let initial speed = Vo

ko! Why M No2 7 Vo = Vixo & 114 1.3+10% sem 5.24 102 Vo = 0.275 m/s)