Physics · Forces and Motion

To solve this problem, apply the conservation of momentum principle which states that total initial momentum equals total final momentum in the absence of external forces. Before the collision, the golf ball (100 kg) moves with 20 m/s, and the steel ball (8 kg) is at rest. The initial momentum is calculated as:Initial Momentum = m1v1 + m2v2 = 100 kg × 20 m/s + 8 kg × 0 m/s = 2000 kg·m/s.After the collision, the two balls stick together, so their combined mass is 108 kg. Let the final velocity be u2. The equation becomes:2000 kg·m/s = (100 kg + 8 kg) × u2Solving for u2 gives:u2 = 2000 kg·m/s / 108 kg = 18.5 m/s.Thus, option C is correct. The other options incorrectly calculate the velocity by either misunderstanding the mass involved or misapplying the momentum conservation equation.

This option is incorrect because it underestimates the velocity after collision. Check your momentum conservation calculations.

This option is incorrect because it does not correctly apply the principle of conservation of momentum. Ensure all initial conditions are accurately considered.

This option is correct. It accurately applies the conservation of momentum to find the final velocity after the collision.

This option is incorrect as it overestimates the velocity after collision. Re-evaluate your calculation using the momentum formula.

This option is incorrect because it assumes no mass change occurred, which is not valid in this collision scenario. Review the mass and velocity changes.