1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alecsey [184]
3 years ago
8

During a circus act, one performer swings upside down hanging from a trapeze holding another, also upside-down, performer by the

legs. If the upward force on the lower performer is three times her weight, how much do the bones (the femurs) in her upper legs stretch? You may assume each is equivalent to a uniform rod 35.0 cm long and 1.80 cm in radius. Her mass is 60.0 kg.
Physics
1 answer:
djyliett [7]3 years ago
3 0

Answer:

1.9*10^{-5}m

Explanation:

The elongation in bones is calculated from Euler’s equation of  

ΔL=\frac{FL_{o}}{A \gamma } where F is force, A is cross section area, ΔL is elongation of length, L_{o} is initial length

To find cross sectional area of the bone, A=\pi r^{2} and the radius of the leg is given as 0.018m

A= \pi * (0.0180)^{2}=1.018*10^{-3}

Since the upward force on lower performer is 3 times her weight,

Total force, F_{total}= 3mg where m is mass of performer provided as 60.0kg

F_{total}= 3*60*9.8= 1764 N

The above force is balanced by two legs hence for each leg,  

F_{leg}= \frac {F_{total}}{2}= \frac {1764}{2}=882N

From the formula for elongation initially provided as  

ΔL=\frac{F_{leg}L_{o}}{A \gamma }

Substituting L_{o} as 0.350m, F_{leg} as 882N \gamma = 16*10^{9}

ΔL=\frac{F_{leg}L_{o}}{A \gamma }

ΔL= \ frac {882N * 0.35}{16*10^{9}*1.018*10^{-3}=1.90*10^{-5}m

Therefore, elongation is 1.9*10^{-5}m

You might be interested in
6
choli [55]

Answer:

B. Acceleration in the direction of motion speeds you up

Explanation:

Acceleration is defined as when something gains speed. For example, when a car speeds up. Deceleration is when the car slows down, and looses speed. When defining these terms, think of a car going faster, then slowing down at a red light.

3 0
3 years ago
Is the stomach just below the waist?
Blizzard [7]
The stomach is above the waist, below the waist is your, yunno. the stomach and bladder sit right on top of the waist, hope this helps, have an amazing day:)
5 0
3 years ago
How many types air<br>I need a formula of calculating the s i unti of force​
yKpoI14uk [10]

The si unit of force is newton.

so, F is eqal to m*g

4 0
2 years ago
Read 2 more answers
Why does ice reflect more energy compared to water?
Stells [14]

Answer:

while ice is made by water again it melts and becomes water. water is colourless and odourless and has no taste but ice is only cold and hard. water is used for drinking and other things. but is for freshness and it never flows

Explanation:

so ice reflect more energy compared to water

3 0
2 years ago
If 2000 kg cannon fires 2 kg projectile having muzzle velocity 200 m/s then the KINETIC ENERGY of the CANNON will be ("E4" means
lilavasa [31]

Answer:

M V = m v        conservation of momentum (Caps-cannon  Small-projectile)

V = m / M * V = 2 / 2000 * 200 m/s = .2 m/s    recoil velocity of cannon

KE = 1/2 M V^2 = 2000 / 2 kg * (.2 m/s)^2  = 40 kg m^2/s^2 = 40 J

6 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE SAY IM RIGHT AGAIN?
    12·1 answer
  • how much power does an electric device use if the current is 36.0 amps and the resistance is 3.9 ohms? a. 140 watts b. 5,100 wat
    10·1 answer
  • A rabbit trying to escape a fox runs north for 8.0 m, darts northwest for 1.0 m, then drops 1.0 m down a hole into its burrow. W
    15·1 answer
  • an object is placed in front of a curved mirror as shown. which of the labeled positions is the current position of the image
    6·2 answers
  • If a 20 kg box is accelerating upward at 8 m/s^2 , what is the magnitude of the upward force
    15·1 answer
  • A dog runs down his driveway with an initial speed of 5.0 m/s for 8 seconds then uniformly increases his speed to 10 m/s in 5 se
    10·1 answer
  • What do atoms of elements in a group have that makes their properties similar? A. the same atomic mass
    9·1 answer
  • Why doesn't the arrow fly forever
    5·1 answer
  • A person uses a match to light charcoal in a grill. Which statement describes
    13·1 answer
  • Q|C A sinusoidal wave in a string is described by the wave function
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!