Question

A leggs of mass 12g slides along a frictionaless surface with an initial speed of 2.6 m/s . If the leggs slides up a ramp and comes to rest, at what height does the leggs come to rest? If the leggo slides into an uncompressed spring (k=6.2 kg/s^2) on a smooth horizontal surface, wnat is the maximum compression of the pring by the leggo? If the leggo sldes into an uncopressed spring (6.2 kg/s^2) on a smooth horizontal surface, what is the velocity of when it has compressed the spring 5.1 cm? A leggo with an initial speed of speed of 2.6m/s first slides down a smooth and then slides into an uncopressed spring (k=6.2kg/s^2) on a smooth horizontal surface,. what is the compression on the spring when the leggo has a speed 3m/s while the leggo is slid the spring?

Answer 1

m = 12 g: v_1 = 2.6 m/s. Using energy conservation, 1/2 mv^2_1 = mgh => h = v^2_1/2g = 34.49 cm k = 6.2 N/m Using energy conservation, 1/2 mv^2_1 = 1/2 kx^2 => x = v_1 squareroot m/k = 11.44 cm Using energy conservation, 1/2 mv^2_1 = 1/2 kx^2 + 1/2 mv^2_2 => v_2 = (v^2_1 - k/m x^2)^1/2 = 2.327 m/s Not clear on the question in this part.