1. How do you calculate kinetic energy (what is the formula)
2. A 700-kg vehicle is traveling at a speed of 6 m/s. How much kinetic energy does it have?
3. Two rocks of different masses are rolling down a hill at the same speed. Which rock (small one or big one) would have more kinetic energy?
4. Two rocks of same mass are rolling down a hill at different speeds (one faster than the other). Which rock would have more kinetic energy?
At this point if you can not get the last one I have failed totally.
1. Calculating kinetic energy is as easy as pie! The formula is K.E. = 1/2 * mass * velocity squared.
2. Let's do the math! Plug in the numbers into the formula: K.E. = 1/2 * 700 kg * (6 m/s)^2. I won't spoil the fun for you, but I can assure you it'll be a shocking amount of kinetic energy!
3. Ah, the rolling rocks! Despite their varying masses, if they have the same speed, they will have the same amount of kinetic energy. However, the big rock might make a bigger noise when it rolls over your toe!
4. Ready for some rockin' physics? When it comes to rocks with the same mass, the one rolling faster will have more kinetic energy. That means it will have a higher chance of causing a bigger "boom" if it rolls into something!
Same speed? The one with more mass and same v has more (1/2) m v^2
(we seem to be ignoring the rotational kinetic energy, probably the next chapter)
1. The formula to calculate kinetic energy is KE = 1/2 * mass * velocity^2.
2. To calculate the kinetic energy, we will use the given formula. Given that the mass of the vehicle is 700 kg and the velocity is 6 m/s, we can plug these values into the formula:
KE = 1/2 * 700 kg * (6 m/s)^2
= 1/2 * 700 kg * 36 m^2/s^2
= 1/2 * 25,200 kg m^2/s^2
= 12,600 J
So, the 700-kg vehicle has a kinetic energy of 12,600 Joules.
3. The kinetic energy of an object depends on both its mass and velocity. In this case, both rocks have the same speed, meaning their velocities are the same. However, the rock with the greater mass will have more kinetic energy. This is because the formula for kinetic energy has mass as a factor. So, the big rock would have more kinetic energy compared to the small rock, assuming they have the same speed.
4. In this scenario, both rocks have the same mass but different speeds. Since the formula for kinetic energy also includes velocity squared, the rock with the higher speed will have more kinetic energy. So, the rock rolling down the hill at a faster speed will have more kinetic energy compared to the one rolling down at a slower speed, given that they have the same mass.
Well, if it is a moving mass it is (1/2) m v^2
if it is a rotating body with moment of inertia I it is (1/2) I omega^2