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Thursday, April 14, 2011

POST 2

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


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