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at what speed does a 1600 kg compact car have the same kinetic energy as a 20000 kg truck going 24 km/h ? express your answer in kilometers per hour.

Sagot :

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 .

What causes kinetic energy to move?

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

To know more about kinetic energy visit:

https://brainly.com/question/26472013

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