Question

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CAN YOU SOLVE THIS↓↓
What is the work to be done to increase the velocity of a car from 30km/h to 60km/h if the mass of car is 1500kg?​

Answer 1

Answer:

Work = Change in kinetic energy

= 0.5 m (v² - u²)

= 0.5 × 1500 kg × [(60 × 5/18 m/s)² - (30 × 5/18 m/s)²]

= 156250 joules

= 156.25 kJ

Work done is 156.25 kJ

Answer 2

Answer:

• The work done = 156250 J

Explanation:

Given,

• Mass of car, m = 1500kg
• Initial velocity of car, u = 30km/h
• Final velocity of car, v = 60km/h

To Find,

• The work done.

Solution,

u = 30km/h

• u = 25/3 m/s

v = 60km/h

• v = 50/3 m/s

The Initial kinetic energy = ½ m u²

• → E(ki) = ½ × 1500kg × (25/3 m/s)²
• → E(ki) = ½ × 625000/3 kg m²/s²
• → E(ki) = 156250/3 kg m²/s²
• → E(ki) = 156250/3 J

The Final kinetic energy = ½ m v²

• → E(kj) = ½ × 1500kg × (50/3 m/s)²
• → E(kj) = ½ × 1250000/3 kg m²/s²
• → E(kj) = 625000/3 kg m²/s²
• → E(kj) = 625000/3 J

The work done = Change in kinetic energy

• → The work done =E(kj) - E(ki)
• → The work done = 156250 J

Required Answer,

• The work done = 156250 J