a catapult is used to project a stone of mass 50g. if the rubber of the catapult has an elastic constant of 200N/m and was stretched 5cm, what speed can it give to the mass

3.16 m/s

Explanation:

Elastic energy in the rubber = kinetic energy of the stone

EE = KE

½ kx² = ½ mv²

v = √ (kx²/m)

Given k = 200 N/m, x = 0.05 m, and m = 0.050 kg:

v = √ (200 N/m (0.05 m) ² / 0.050 kg)

v = √10 m/s

v ≈ 3.16 m/s

Round as needed.

3.16 m/s

Explanation:

A catapult is used to project a stone of mass 50g. If the rubber of the catapult has an elastic constant of 200N/m and was stretched 5cm, the speed that it can give to the mass is 3.16 m/s.

v = √ (200 N/m (0.05 m) ² / 0.050 kg)