0
How much power is required for a 100 kg woman to climb a ladder 10 meters in height in 10 seconds?
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.
Still curious? Ask our experts.
Chat with our AI personalities
Steve
Blake
JordanAdd your answer:
Earn +20 pts
A 10 meter ladder is leaning against a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ladder?
5 meters
How much power is required in watts for a 90kg woman to climb a ladder 6 meters in height in 3 seconds?
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.
How much time is required for a bicycle to travel 100 meters at an average distance of 2 meters per second?
approx. 50 seconds
What is the height of a tower if a rock dropped from it hits the ground after falling for 2 seconds?
19.6 meters / 64.4 ft
David drops a ball from a bridge at an initial height of 70 meters what is the height of the ball to the nearest tenth of a meter exactly 2 seconds after he releases the ball?
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
