If a car accelerates from rest to a speed of 20 m/s, and its mass is 1000 kg, wh

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Question: If a car accelerates from rest to a speed of 20 m/s, and its mass is 1000 kg, what is the kinetic energy gained by the car? (2021)

Options:

Correct Answer: 100,000 J

Exam Year: 2021

Solution:

Kinetic Energy (KE) = 0.5 × mass (m) × velocity² (v²). KE = 0.5 × 1000 kg × (20 m/s)² = 200,000 J.

If a car accelerates from rest to a speed of 20 m/s, and its mass is 1000 kg, what is the kinetic energy gained by the car? (2021)

If a car accelerates from rest to a speed of 20 m/s, and its mass is 1000 kg, what is the kinetic energy gained by the car? (2021)

Step 1: Identify the formula for kinetic energy, which is KE = 0.5 × mass (m) × velocity² (v²).
Step 2: Write down the mass of the car, which is 1000 kg.
Step 3: Write down the final speed of the car, which is 20 m/s.
Step 4: Calculate the velocity squared (v²). This means you multiply 20 m/s by itself: 20 m/s × 20 m/s = 400 m²/s².
Step 5: Now plug the values into the kinetic energy formula: KE = 0.5 × 1000 kg × 400 m²/s².
Step 6: First, calculate 0.5 × 1000 kg = 500 kg.
Step 7: Now multiply 500 kg by 400 m²/s²: 500 kg × 400 m²/s² = 200,000 kg·m²/s².
Step 8: Since 1 kg·m²/s² is equal to 1 Joule (J), the kinetic energy gained by the car is 200,000 J.

Kinetic Energy – Kinetic energy is the energy an object possesses due to its motion, calculated using the formula KE = 0.5 × mass × velocity².
Acceleration – Acceleration refers to the rate of change of velocity of an object, which in this case is from rest to a specified speed.