question 1
A lorry haning a mass of 1.5t is travel-ling along a level road at 72 km/h. when the brakes are applied, the speed decreases to 18 km/h. determine how much the kinetic enegy of the lorry is reduced.
Initial velocity of lorry, v1 = 72 km/h
km m 1h
= 72 −−− x 1000 −−− x −−−
H km 3600s
72
= −−− = 20 m/s
3.6
Final velocity of lorry, v2 = 18
−−− = 5 m/s and
3.6
Mass of lorry , m = 1.5t = 1500 kg
Initial kinetic energy of the lorry 1 1
= −−− mv ² = −−− (1500)(20) ²
2 ¹ 2
= 300 kj
Final kinetic energy of the lorry 1 1
= −− mv² = −− ( 1500)(5) ²
2 ² 2
= 18.75 kj
Hence, the change in kinetic energy = 300 – 18.75
= 281.25 kj