Question

Read through the scenarios below and calculate the predicted change in kinetic energy of the object compared to a 50 kg ball traveling at 10 m/s. A 50 kg ball traveling at 20 m/s would have kinetic energy. A 50 kg ball traveling at 5 m/s would have kinetic energy. A 50 kg person falling at 10 m/s would have kinetic energy.

Answer 1

Kinetic energy can be calculated using the formula KE = 1/2 mv^2, where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object. In the given scenarios, a 50 kg ball traveling at 20 m/s would have a kinetic energy of 10,000 J, while a 50 kg ball traveling at 5 m/s would have a kinetic energy of 625 J. A 50 kg person falling at 10 m/s would have a kinetic energy of 2,500 J.

Step-by-step explanation:

The formula to calculate kinetic energy is KE = 1/2 mv^2, where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object. Let's calculate the predicted change in kinetic energy for the given scenarios:

1. A 50 kg ball traveling at 20 m/s would have a kinetic energy of KE = 1/2 * 50 kg * (20 m/s)^2 = 10,000 J.
2. A 50 kg ball traveling at 5 m/s would have a kinetic energy of KE = 1/2 * 50 kg * (5 m/s)^2 = 625 J.
3. A 50 kg person falling at 10 m/s would have a kinetic energy of KE = 1/2 * 50 kg * (10 m/s)^2 = 2,500 J.

Answer 2

The formula for kinetic energy is KE = (1/2) (mass) (speed²)

== The 50 kg ball traveling at 10 m/s has some kinetic energy.

== A 50 kg ball traveling at 20 m/s would be moving at double the speed. So it would have (2)² = 4 times as much kinetic energy.

== A 50 kg ball traveling at 5 m/s would be moving at 1/2 the speed. So it would have (1/2)² = 1/4 as much kinetic energy.

== A 50 kg person falling at 10 m/s would have exactly the same amount of kinetic energy as the 50 kg ball traveling at 10 m/s.