I need a website with information on work-power-force things?

Question

I need a website with information like how many horsepowers it takes to make a 200 pound object go 5 mph, or how to find the peak height of a object that went at a 90 degree angle and stayed in the air for 10 seconds. I need formulas or, at best, a calculator that does it for me. But formulas would be nice. Any information regarding this would be appreciated. Thank you in advance!

Answer 1

To know how much horsepower it takes to make a 200-pound object go 5 mph, you need to specify how much time it takes to reach that speed.

Here are some useful formulas:

F = m*a (Newton's 2nd law)
E = 1/2*m*v^2 (kinetic energy)
W = E (work-energy theorem)
W = F*x
P = W/t

Where F = force, m = mass, a = acceleration, v = velocity, W = work, x = distance, P = power, and t = time

To find out how much power it takes to accelerate a 200 kilogram object to a velocity of 5 meters per second in a time of 2 second, we would go about it thusly:

The kinetic energy of a 200 kg object going 5 m/s is
E = 1/2*m*v^2
E = 1/2*(200 kg)*(5 m/s)^2
E = 2500 joules

By the work-energy theorem, we need to do 2500 joules of work on the object in 2 seconds, so the average power neede is:
P = (2500 joules) / (2 seconds)
P = 1250 watts

1250 watts is the same thing as 1.68 horsepower.