When she reaches the top of the ladder, her potential energy has increased by
M G H = (100) (9.8) (10) = 9,800 joules.
Spread over 10 seconds, her potential energy increases at the rate of 980 watts.
She has to work at at least that rate plus more, since muscular activity is never 100% efficient.
By the way, this is a very fast climb. It might not be obvious from any of the numbers
discussed so far. But consider that 980 watts is 1.32 horsepower, which is a mighty
effort for any human being. Of course, being a 100-kg (220-lb) woman, she may well
be accustomed to it.
5 meters
Work = (force) x (distance) = m g H = (90) x (9.807) x (6) = 5,295.78 joulesPower = work/time = 5,295.78/3 = 1,765.26 watts = 2.366 horsepowerA physically impossible feat, but the math is bullet-proof.
approx. 50 seconds
19.6 meters / 64.4 ft
Distance of fall in T seconds = 1/2 g T2Distance of fall in 2 seconds = (1/2) (9.8) (2)2 = (4.9 x 4) = 19.6 metersHeight of this particular ball after 2 seconds = (70 - 19.6) = 50.4 meters
cos60=4.2cm/x x=4.2cm/cos60 x=8.4cm Therefore the height of the ladder is 8.4cm. However, i think you mean meters because that is a very tiny ladder lol.
15 meters, or less, depending on the angle.
At least 3,500 joules, if his climbing effort is 100% efficient, but probably more than that.
5 meters
5 meters
Work = (force) x (distance) = m g H = (90) x (9.807) x (6) = 5,295.78 joulesPower = work/time = 5,295.78/3 = 1,765.26 watts = 2.366 horsepowerA physically impossible feat, but the math is bullet-proof.
approx. 50 seconds
19.6 meters / 64.4 ft
6.71 meters.
The time required for a stone to fall from a given height can be calculated mathematically. Time equals the square root of two times the distance divided by force of gravity. Time is in seconds, distance in meters, and the force of gravity on Earth is 9.8 meters/second ^2.
Distance of fall in T seconds = 1/2 g T2Distance of fall in 2 seconds = (1/2) (9.8) (2)2 = (4.9 x 4) = 19.6 metersHeight of this particular ball after 2 seconds = (70 - 19.6) = 50.4 meters
Height (feet): 25550; Height (meters): 7788