If a Saturn V rocket with an Apollo spacecraft attached has a combined mass of 2.6 105 kg and reached a speed of 11.2 km/s, how much kinetic energy would it then have?
__________J
To calculate the kinetic energy of an object, you can use the formula:
Kinetic Energy (KE) = (1/2) * mass * velocity^2
First, we need to convert the speed from km/s to m/s since the mass is given in kilograms. We know that 1 km = 1000 m, so:
Speed = 11.2 km/s = 11.2 * 1000 m/s = 11200 m/s
Now we can substitute the values into the formula:
KE = (1/2) * 2.6 * 10^5 kg * (11200 m/s)^2
Calculating this equation, we get:
KE ≈ 1.4656 * 10^13 J
So, the kinetic energy of the Saturn V rocket with the Apollo spacecraft attached would be approximately 1.4656 * 10^13 Joules.