Question: An object with a mass of 4 kg is moving with a velocity of 3 m/s. What is its kinetic energy?
Options:
6 J
12 J
24 J
36 J
Correct Answer: 24 J
Solution:
Kinetic Energy = 0.5 × m × v² = 0.5 × 4 kg × (3 m/s)² = 18 J.
An object with a mass of 4 kg is moving with a velocity of 3 m/s. What is its ki
Practice Questions
Q1
An object with a mass of 4 kg is moving with a velocity of 3 m/s. What is its kinetic energy?
6 J
12 J
24 J
36 J
Questions & Step-by-Step Solutions
An object with a mass of 4 kg is moving with a velocity of 3 m/s. What is its kinetic energy?
Step 1: Identify the mass of the object. In this case, the mass (m) is 4 kg.
Step 2: Identify the velocity of the object. Here, the velocity (v) is 3 m/s.
Step 3: Write down the formula for kinetic energy: Kinetic Energy = 0.5 × m × v².
Step 4: Substitute the mass into the formula: Kinetic Energy = 0.5 × 4 kg × v².
Step 5: Calculate v² (the square of the velocity): (3 m/s)² = 9 m²/s².
Step 6: Substitute v² back into the formula: Kinetic Energy = 0.5 × 4 kg × 9 m²/s².
Step 7: Multiply 0.5 by 4 kg to get 2 kg.
Step 8: Now multiply 2 kg by 9 m²/s² to get 18 kg·m²/s², which is equal to 18 J (Joules).
Step 9: Conclude that the kinetic energy of the object is 18 J.
Kinetic Energy – Kinetic energy is the energy an object possesses due to its motion, calculated using the formula KE = 0.5 × m × v², where m is mass and v is velocity.
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