A moving car has a kinetic energy of 7.08 E4 J. The mass of the car and its contents is 1,150 kg. What is the speed of the car?
O 7.83 m/s
O 11.1 m/s
O 19.2 m/s
O 104 m/8

Respuesta :

Answer:

11.1 m/s

Explanation:

The Kinetic energy of an object can be calculated by using the formula :

[tex]\bf Kinetic \ energy = \dfrac{1}{2} mv^2 [/tex]

Where :

m is mass of the object

v is speed or velocity

We are given :

  • Mass of the car = 1150 kg
  • Kinetic energy = 7.08 E4 J = 7.08 × 10⁴ J

To solve for speed of the car, substitute the given values in above formula:

[tex]\sf 7.08 \times 10^4 = \dfrac{1}{2} 1150 \times v^2 [/tex]

[tex]\sf 71800 = 575 \times v^2 [/tex]

dividing both sides by 575

[tex]\sf v^2 = 124.86 [/tex]

squaring both sides

[tex]\sf v = 11.1 \ m/s [/tex]

  • Hence, the speed of the car is 11.1 m/s

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