Understanding Kinetic Energy

Kinetic energy (KE) is the energy an object possesses due to its motion. It's calculated using the formula:

KE = (1/2) * mass * velocity²

Solving the Problem

1. Find the mass: We know the KE (25 Joules) and the velocity (5 m/s). Let's plug these values into the KE formula and solve for mass:

25 J = (1/2) * mass * (5 m/s)²

25 J = (1/2) * mass * 25 m²/s²

25 J = 12.5 * mass

mass = 25 J / 12.5 = 2 kg

2. Calculate the new KE: Now we need to find the KE when the velocity is tripled (15 m/s). We know the mass (2 kg) and the new velocity.

KE = (1/2) * 2 kg * (15 m/s)²

KE = 1 kg * 225 m²/s²

KE = 225 J

Answer: The kinetic energy of the object will be 225 Joules when the velocity is tripled.