1)use the worked example above to help you solve this problem. a 54.4 kg circus
ID: 1542585 • Letter: 1
Question
1)use the worked example above to help you solve this problem. a 54.4 kg circus acrobat drops from a height of 2.40 meters straight down onto a springboard with a force constant of 6.01x10^3 N/m, as shown in the figure. By what maximum distance does she compress the spring?PRACTICE IT Use the worked example above to help you solve this problem. A 54.4 kg circus acrobat drops from a height of 2.40 meters straight down onto a springboard with a force constant of 6.01 x 103 N/m, as shown in the figure. By what maximum distance does she compress the spring? EXERCISE HINTS GETTING STARTED I l'M STUCK! An 6.75 kg block drops straight down from a height of 1.43 m, striking a platform spring having a force constant of 9.40 x 102 N/m. Find the maximum compression of the spring. Need Help? Read it a Show My Work (optional)
Explanation / Answer
mass m = 54.4 kg
height h = 2.4 m
sping consatnt k = 6.01e+3 N/m
Potentail energy lost by the acrobat = mgh = 54.4*2.4 *9.8 = 1279.488 J
This energy is imparted to the spring and the spring is compressed by x
potentoal energy of the spring = 0.5 kx2 = 1279.488 J
x = sqrt(2*1279.488/6.01e+3) = 0.652 m
2. mass of block m = 6.75 kg
h = 1.43 m
spring const. k = 9.40e+2
x = sqrt(2mgh/k) = sqrt(2*6.75*9.8*1.43/9.4e2) = 0.449 m
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