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irga5000 [103]
3 years ago
13

A gymnast is in a tucked position to complete her somersaults. While tucked her moment of inertia about an axis through the cent

er of her body is 16.0 kg-m² and she rotates at 2.5 rev/s. When she kicks out of her tuck into a straight position, her moment of inertia becomes 19.5 kg-m². What is her rate of rotation after she straightens out?
Physics
1 answer:
torisob [31]3 years ago
8 0

Answer:

\omega_s=12.8886\ rad.s^{-1}

Explanation:

Given that:

  • moment of inertia of tucked body, I_t=16\ kg.m^2
  • rotational speed of the body, N_t=2.5\ rev.s^{-1}
  • i.e. \omega_t=2\pi\times 2.5=15.708\ rad.s^{-1}
  • moment of inertia of  the straightened body, I_s=19.5\ kg.m^2

<u>Now using the law of conservation of angular momentum:</u>

angular momentum of tucked body=angular momentum of straight body

I_t.\omega_t=I_s.\omega_s

16\times 15.708=19.5\times \omega_s

\omega_s=12.8886\ rad.s^{-1}

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wel

Answer:

C. 100

D.3

E. 33.3

Explanation:

C. Mechanical Advantage=Load / Effort

= 200N

--------

100N

Therefore,. = 100

D. I. Velocity Ratio= distance moved by the effort / distance moved by load

= 30cm/10cm

= 3

II. Efficiency= M.A / V.R

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8 0
3 years ago
which of these is an example of a biotic factor that could affect the size of a population A-climate b-disease c-a natural disas
andreyandreev [35.5K]

Hey there!

Biotic factors are living organisms. This includes plants, animals, and bacteria. Climate, water, and natural disasters are abiotic factors, which means they are nonliving factors that affect the environment. Disease is caused by bacteria, which is a biotic factor.

Therefore, your answer is B) Disease.

Hope this helps!

4 0
3 years ago
The graph illustrates the activity level of three common digestive enzymes, across a range of pH values. Which enzyme is likely
vaieri [72.5K]

Answer:

(A) Pepsin

Explanation:

From the graph it is clear that pepsin is the only enzyme which works in highly acidic condintion in the digestive system.

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7 0
3 years ago
A train moving west with an initial velocity of 20 m/s accelerates at 4 m/s' for 10 secon
MArishka [77]

Answer:

Distance of 400m.

Explanation:

Use your kinematics equation to solve for distance (we can use kinematics b/c acceleration is constant).

d = (initial velocity x time) + 1/2 at^2

d = (20 x 10) + 1/2 (4) (10)^2

d = 200 + 200

d = 400 m

5 0
2 years ago
What must be the magnitude of a uniform electric field if it is to have the same energy density as that possessed by a 0.50 T ma
Sindrei [870]

Answer:

E = 1.50 × 10^{8} V/m

Explanation:

given data

B = 0.50 T

solution

we know that energy density by the magnetic field is express as

\mu _b = \frac{B}{2\mu _o}   ...............1

and

energy density due to electric filed is

\mu _e = \frac{\epsilon _o E^2}{2}     ...............2

and here \mu _b = \mu _ e

so that

E = \frac{B}{\sqrt{\mu _o \times \epsilon _o}}      ...................3

put here value and we get

E = \frac{0.50}{\sqrt{4\pi \times 10^{-7} \times 8.852 \times 10^{-12}}}  

E = 3 × 10^{8}  × 0.50

E = 1.50 × 10^{8} V/m

6 0
3 years ago
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