Use the following formula to solve: A 700-kg vehicle is traveling at a speed of 6 m/s. How much kinetic energy does it have?
*
1 point
Captionless Image
12,600 J
50,400 J
700 J
what is the anwser
12,600 J
50,400 J
700 J
The formula to calculate kinetic energy is KE = 1/2 * mass * velocity^2.
Substituting the values into the formula:
KE = 1/2 * 700 kg * (6 m/s)^2
KE = 1/2 * 700 kg * 36 m^2/s^2
KE = 12,600 kg m^2/s^2 or 12,600 J (Joules)
Therefore, the correct answer is 12,600 J.
To solve for the kinetic energy of the vehicle, we can use the formula:
Kinetic energy (KE) = (1/2) * mass * velocity^2
Given:
Mass (m) = 700 kg
Velocity (v) = 6 m/s
Plugging the values into the formula:
KE = (1/2) * 700 kg * (6 m/s)^2
Simplifying:
KE = (1/2) * 700 kg * 36 m^2/s^2
KE = 18,900 kg * m^2/s^2
Therefore, the kinetic energy of the vehicle is 18,900 J (joules).
Since none of the options provided match the calculated answer, it seems that there is an error in the options.
To solve this problem, you need to use the formula for kinetic energy:
Kinetic energy = (1/2) * mass * velocity^2
Given:
Mass (m) = 700 kg
Velocity (v) = 6 m/s
So, let's substitute the values into the formula:
Kinetic energy = (1/2) * 700 kg * (6 m/s)^2
Simplifying the equation:
Kinetic energy = (1/2) * 700 kg * 36 m^2/s^2
Now, multiply 700 kg by 36 m^2/s^2:
Kinetic energy = 25,200 kg m^2/s^2
The unit of kinetic energy is Joules (J), so we can rewrite it as:
Kinetic energy = 25,200 J
Therefore, the kinetic energy of the 700-kg vehicle traveling at a speed of 6 m/s is 25,200 J.