Question

Find the mass of a car that is traveling at a velocity of 60 m/ s North. The car has

5,040,000 J of kinetic energy.​

Answer 1

Answer:

Answer: The mass of the car is 2800 kgExplanation:Kinetic energy is defined as the energy which is possessed due to its motion.It is also defined as the half of the product of mass of the object and square of the velocity of the object

m = mass of the car = ? kg

m = mass of the car = ? kgv = velocity of car = 60 m/s

m = mass of the car = ? kgv = velocity of car = 60 m/sPutting values in above equation, we get:

×2 =2800kg

m = mass of the car = ? kgv = velocity of car = 60 m/sPutting values in above equation, we get:\begin{gathered}5,040,000J=\frac{1}{2}\times m\times (60)^2\\\\m=\frac{5,040,000\times 2}{60\times 60}=2800kg\end{gathered} 5,040,000J= 21 ×m×(60) 2 m= 60×605,040,000×2 =2800kg Hence, the mass of the car is 2800 kg

Answer 2

Answer:

Given :

$\textsf{Velocity of the car = 60 m/s}$

$\textsf{Car has kinetic energy = 5,040,000 J}$

To find :

$\textsf{Mass of the car}$

Taken :

Use the kinetic energy formula to find the mass of the car .

$\sf\boxed{K.E=\dfrac{1}{2}m{v}^{2}}$

Where ,

K.E = Kinetic energy of the car

m = Mass of the car

v = Velocity of the car

Solution :

$:\implies\sf\large{5,040,000\:J=\dfrac{1}{2}\times\:m\times{60m/s}^{2}}$

$:\implies\sf\large{5,040,000\:J=\dfrac{1}{2}\times\:m\times(60\times60)}$

$:\implies\sf\large{5,040,000\:J=\dfrac{1}{2}\times3600m}$

$:\implies\sf\large{5,040,000\:J=1800m}$

$:\implies\sf\large{\dfrac{5,040,000\:J}{1800}=m}$

$:\implies\sf\large{2800kg=m}$

Answer :

So , the mass of the car is 2800 kg .