Respuesta :
Answer:
9.1875 Joules
Explanation:
The kinetic energy of an object can be given by the equation [tex]EK = \frac{1}{2} mv^{2}[/tex], in which m is the mass and v is the velocity. Plugging in the mass and velocity values into the equation, we get:
[tex]EK = \frac{1}{2} (6kg)(1.75m/s)^2\\EK = 9.1875 J[/tex]
Answer:
[tex]\boxed {\boxed {\sf 9.19 \ Joules}}[/tex]
Explanation:
Kinetic energy is the energy an object possesses due to motion. The following formula is used to calculated kinetic energy.
[tex]E_k= \frac{1}{2} mv^2[/tex]
In this formula, m is the mass and v is the velocity.
The car has a mass of 6.00 kilograms and a velocity of 1.75 meters per second.
- m= 6.00 kg
- v=1.75 m/s
Substitute the values into the formula.
[tex]E_k= \frac{1}{2} (6.00 \ kg )(1.75 \ m/s)^2[/tex]
Solve the exponent.
- (1.75 m/s)²= 1.75 m/s *1.75 m/s = 3.0625 m²/s²
[tex]E_k= \frac{1}{2}(6.00 \ kg )(3.0625 \ m^2/s^2)[/tex]
Multiply the numbers together.
[tex]E_k=\frac {1}{2} (18.375 \ kg*m^2/s^2)[/tex]
[tex]E_k= 9.1875 \ kg*m^2/s^2[/tex]
The original measurements of mass and velocity both have 3 significant figures, so our answer must have the same. For the number we calculated, that is the hundredths place. The 7 in the thousandths place to the right (9.1875) tells us to round to 8 up to a 9.
[tex]E_k \approx 9.19 \ kg*m^2/s^2[/tex]
1 kilogram meter squared per second squared is equal to 1 Joule. Our answer of 9.19 kg*m²/² is equal to 9.19 Joules.
[tex]E_k \approx 9.19 \ J[/tex]
The kinetic energy of the toy care is approximately 9.19 Joules.
