A 1600 kilogram small vehicle and a 20 000 kg truck traveling at a speed of 84.74 km/h have same amounts of kinetic energy .
A particle or an item that is in motion has a sort of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, gets done on it by exerting a net force.
Briefing :
Kinetic energy is that which is due to the movement of bodies and is calculated like this:
K = (1/2)mv² Formula (1)
Data for the truck
m = 20000 kg
v = 24 km/h
= 24 *(1000m)/ (3600s)
v = 6.66m/s
Calculation of the kinetic energy of the truck
We replace data in the formula (1)
K = (1/2)mv²
K = (1/2)(20000)(6.66)²
K = 443556J
Data for the compact car
K = 443556 J
= 443556 (N*m)
m = 1600 kg
Calculation of the speed of the compact car
We replace data in the formula (1)
K = (1/2)mv²
443556 = (1/2)( 1600)(v)²
443556 = ( 800)(v)²
v² = 443556/ (800)
[tex]v=\sqrt{\frac{443556}{800} }[/tex]
v = 23.54m/s
1 km = 1000 m
1 h = 3600 s
v =23.54*(3600/1000)km/h
v =84.74 km/h
Therefore , speed of car is is 84.74 km/h
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