26. It takes your 74 kg partner takes 5.9s to run up the stairs of the...
1. (6 points) Suil has a staircase of n stairs to climb. Each step he takes can cover either one stair or two stairs (a) (2.5 points) Find and solve a recurrence relation for a, the number of different ways for him to ascend the n-stair staircase. Show all your work
1. (6 points) Suil has a staircase of n stairs to climb. Each step he takes can cover either one stair or two stairs (a) (2.5 points) Find and...
2. Running up the stairs (5 pts). Time how long it takes for you (or a friend) to run as fast as possible up a staircase. Measure the height of one step and count the steps to find how high you climbed. a) How much mechanical energy did you produce to climb the stairs? b) What was the average mechanical power produced during your climb? c) Estimate the muscle mass in your upper legs (quadriceps, hamstrings, and buttocks). (Recall that...
Your aim is to lose 1 kg of body fat. a) How many times you need to run the stairs up and down to achieve your aim? b) What is average power output when running up the stairs? c) Is this a good exercise to lose weight? 1 kilocalorie [kcal] = 4186 Joules [J]. Human body metabolizes 1g of fat by releasing 9 kcal. There are 100 steps up the staircase, each step is 10 cm high. Its takes 50...
A 65 kg students runs up a flight of stairs (14 stairs with each stair 22 cm tall) in 2.2 s. What minimum power is expended to reach the top of the flight?
How many stairs can a 63-kg person climb up with the energy contained in a candy bar (Ebar= 200 kcal)? Assume the height of each stair is 0.15 m and the efficiency of the person is 20%. Note: 1 kcal = 4184 J
1a) How much work is required for a 60 kg person to climb the stairs near the entrance of Science 2 from the first floor to the second floor? The incline angle of the stairs is 30°, and the total height is 3.5 m. b) Suppose the same person decides to take the steeper staircase (incline ~ 35°) in the corner of the building instead. Would the work necessary to ascend to the second floor be greater, smaller, or the...
As part of her morning jog, a 65-kg woman runs up a flight of steps with a vertical height of 10 meters. She accomplishes this task in 15.0 seconds. a) What is the weight of the woman? b) How much work did the woman use to climb the stairs? c) What is her increase in potential energy? d) How much power did she use to climb the stairs? e) How much horsepower did she use?
A 50-kg woman cheats on her diet and eats a 575-Calorie (575 kcal) jelly doughnut for breakfast. (a) How many joules of energy are the equivalent of one jelly doughnut? J (b) How many stairs must the woman climb to perform an amount of mechanical work equivalent to the food energy in one jelly doughnut? Assume the height of a single stair is 15 cm. stairs (c) If the human body is only 26% efficient in converting chemical energy to...
a 60 kg marathon runner runs up the stairs to the top of Chicago’s 443m tall Willis Tower. to lift the top in 15 minutes, what must be her average power output? how many such girls can match the power of an average horse?
A boy, 35 kg, climbed up 20 steps, each step 0.25 m. It took him 8.9 seconds to complete the fight of stairs. How much power did the boy require to climb the stairs? a. 192.9 W b. 771.6 W c. 19.7 W d. 78.7 W