What is the work to be done
to increase the velocity of a car from
30 km h-1 to 60 km hI if the mass of
the car is 1500 kg?
Answers
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
Explanation:
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Work done = Change in KE
W = ΔKE = Final KE - Initial KE
Initial KE = 1/2 mu²
= 1/2 * 1500 * (30*5/18)²
= 1/2 * 1500 * 69.4
= 52083 J
Final KE = 1/2 mv²
= 1/2 * 1500 * (60*5/18)²
= 1/2 * 1500 * 277.77
= 208333 J
Therefore,
Work done = ΔKE
= 208333 - 52083
= 15625 J
= 15.625 kJ
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