A car accelerates from rest to a speed of 20 m/s. If its mass is 1000 kg, what i

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Question: A car accelerates from rest to a speed of 20 m/s. If its mass is 1000 kg, what is the kinetic energy of the car at this speed? (2000)

Options:

Correct Answer: 2000 J

Exam Year: 2000

Solution:

Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 1000 kg × (20 m/s)² = 0.5 × 1000 × 400 = 200000 J.

A car accelerates from rest to a speed of 20 m/s. If its mass is 1000 kg, what is the kinetic energy of the car at this speed? (2000)

A car accelerates from rest to a speed of 20 m/s. If its mass is 1000 kg, what is the kinetic energy of the car at this speed? (2000)

Step 1: Identify the formula for kinetic energy, which is KE = 0.5 × m × v².
Step 2: Determine the mass (m) of the car, which is given as 1000 kg.
Step 3: Determine the speed (v) of the car, which is given as 20 m/s.
Step 4: Calculate v² (the speed squared): 20 m/s × 20 m/s = 400 m²/s².
Step 5: Substitute the values into the kinetic energy formula: KE = 0.5 × 1000 kg × 400 m²/s².
Step 6: Calculate 0.5 × 1000 kg = 500 kg.
Step 7: Multiply 500 kg by 400 m²/s² to get KE: 500 kg × 400 m²/s² = 200000 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.
Units of Measurement – Understanding the units involved in the calculation, such as kilograms for mass and meters per second for velocity, is crucial for accurate computation.