Question

OBJECT OF MASS 6 KG MASS MOVES WITH 10 M/S VELOCITY AND OBJECT OF 12 KG MASS MOVES WITH VELOCITY OF 5M/S WHOSE KINETIC ENERGY IS MORE

Answer 1

We have,

★ Object A having mass of 6 kg and of 10 m/s velocity.

★ Object B having mass of 12 kg and of 5 m/s as velocity.

KE of A:-

KE = ½ mv²

⇒KE(a) = ½ × 6 kg × (10 m/s)² = 3 kg × 100 m²/s²

⇒KE(a) = 300 J

KE of B:-

KE = ½ mv²

⇒KE(b) = ½ × 12 kg × (5 m/s)² = 6 kg × 25 m²/s²

⇒KE(b) = 150 J.

So, KE(a) > KE(b).

∴ Object having mass of 6 kg and travelling with a velocity of 10 m/s² possesses a greater kinetic energy.

Answer 2

Given :

• Mass of object, m₁ = 6 kg
• Velocity of object, v₁ = 10 m/s
• Mass of object, m₂ = 12 kg
• Velocity of object, v₂ = 5 m/s

To find :

• Whose kinetic energy is more

According to the question,

Kinetic energy of object 1 :

➞ Kinetic energy = ½ mv²

➞ Kinetic energy = ½ × 6 × 10 × 10

➞ Kinetic energy = 3 × 100

➞ Kinetic energy = 300 J

• So,the kinetic energy of object 1 is 300 Joules.

Kinetic energy of object 2 :

➞ Kinetic energy = ½mv²

➞ Kinetic energy = ½ × 12 × 5 × 5

➞ Kinetic energy = 6 × 25

➞ Kinetic energy = 150 J

• So,the kinetic energy of object 2 is 150 Joules.

So, the kinetic energy of object 1 is more.

____________________