Kinetic energy is calculated from the formula KE = (1/2)mv2. Suppose a mass of 14.2 kg (m = 14.2 kg) is moving with a velocity of 750. ms-1 (v = 750. meters per second). Calculate the kinetic energy of this mass in units of Joules.
What problem are you having? Isn't this a case of substituting and working the calculator?
To calculate the kinetic energy of an object using the formula KE = (1/2)mv^2, you need to know the mass (m) of the object and its velocity (v).
In this case, the given values are:
m = 14.2 kg
v = 750 m/s
Now, substitute the values into the formula and solve:
KE = (1/2) * m * v^2
KE = (1/2) * 14.2 kg * (750 m/s)^2
First, calculate the square of the velocity:
v^2 = (750 m/s)^2 = 562500 m^2/s^2
Now, substitute this value back into the formula:
KE = (1/2) * 14.2 kg * 562500 m^2/s^2
To simplify the calculation, divide the mass by 2:
KE = 7.1 kg * 562500 m^2/s^2
Finally, multiply the remaining values together to get the answer:
KE ≈ 398625000 J (Joules)
Therefore, the kinetic energy of a mass of 14.2 kg moving at a velocity of 750 m/s is approximately 398625000 Joules.