Question

The kinetic energy KE of a moving body varies directly as its mass M and the square of its velocity V. If a body whose kinetic energy is 150 joules has a mass of 30 kg and a velocity of 10 m/s, find the kinetic energy of a body of mass 6 kg moving with a velocity of 30 m/s.

Answer 1

Using the kinetic energy formula KE = ½mv², the kinetic energy of a 6 kg mass moving at 30 m/s is found to be 2700 joules.

Step-by-step explanation:

Kinetic Energy Calculation

The kinetic energy (KE) of a moving object can be calculated using the formula KE = ½mv², where m is the mass in kilograms and v is the velocity in meters per second. For a body with a mass of 30 kg moving at a velocity of 10 m/s, the kinetic energy is 150 joules. To find the kinetic energy of another body with a mass of 6 kg moving at a velocity of 30 m/s, we use the same formula.

KE = ½ × 6 kg × (30 m/s)²

= 3 kg × 900 m²/s²

= 2700 Joules

Therefore, the kinetic energy of a body of mass 6 kg moving with a velocity of 30 m/s is 2700 joules.