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

Doubling Kinetic Energy

We want to find the new velocity that will make the kinetic energy double. Let's call the original velocity "v1" and the new velocity "v2".

* Original KE: (1/2) * 1 kg * (10 m/s)² = 50 J

* Doubled KE: 50 J * 2 = 100 J

Finding the New Velocity

1. Set up the equation: (1/2) * 1 kg * (v2)² = 100 J

2. Solve for v2:

* v2² = 200

* v2 = √200 ≈ 14.14 m/s

Answer:

To double the kinetic energy of the 1 kg object, its speed should be increased to approximately 14.14 m/s.