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forsale [732]
2 years ago
9

An elephant's legs have a reasonably uniform cross section from top to bottom, and they are quite long, pivoting high on the ani

mal's body. When an elephant moves at a walk, it uses very little energy to bring its legs forward, simply allowing them to swing like pendulums. For fluid walking motion, this time should be half the time for a complete stride; as soon as the right leg finishes swinging forward, the elephant plants the right foot and begins swinging the left leg forward. An elephant has legs that stretch 2.3 from its shoulders to the ground. How much time is required for one leg to swing forward after completing a stride? What would you predict for this elephant's stride frequency? That is, how many steps per minute will the elephant take?
Physics
1 answer:
PilotLPTM [1.2K]2 years ago
4 0

Answer:

 t = 6,485 s ,  t_step = 25.94 s

the elephant gives 2.3 step very minute

Explanation:

Let's approximate this system to a simple pendulum that has angular velocity

            w = √L / g

Angular velocity and period are related

           w = 2π / T

           T = 2π √g / L

Let's find the period

           T = 2π √9.8 / 2.3

           T = 12.97 s

Stride time is

           t = T / 2

           t = 12.97 / 2

           t = 6,485 s

Frequency is inversely proportional to period

            f = 1 / t

            f = 1 / 6,485

            f = 0.15 Hz

Since the elephant has 4 legs and each uses a time t, the total time for one step is

            t_step = 4 t

            t_step = 4 6.485

            t_step = 25.94 s

             f_step = 1/t_step =0.0385 s-1

Now let's use a proportion rule to find the number of steps in 60 s

           #_step = 60 / t_step

           #__step = 60 / 25.94

           #_step = 2.3 steps

So the elephant gives 2.3 step very minute

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Keisha looks out the window from a tall building at her friend Monique standing on the ground, 8.3 m away from the side of the b
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Answer:

Explanation:

GIVEN DATA:

Distance between keisha and her friend 8.3 m

angle made by keisha toside building 30 degree

height of her friend monique is 1.5 m

from the figure

\Delta ACB

tan 30 = \frac{8.3}{h}

h= \frac{8.3}{tan 30} = 14.376 m

therefore

height of keisha is = h  + 1.5 m

                               = 14.376 + 1.5

= 15.876 \simeq 16 m

therefore option c is correct

5 0
2 years ago
Two identical metal balls are rolling without slipping along a horizontal surface with speed V. Each ball encounters a hill ('tw
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Answer:

The angular velocity of Ball A will be greater than the angular velocity of Ball B when they reach the top of the hill.

Explanation:

Angular velocity can be defined as how fast an object rotates relative to a given point or frame of reference.

The question said the hill encountered by Ball A is frictionless, so Ball A will continue to rotate at the same rate it started with even when it reached the top of the hill.

Ball B on the other hand rolls without slipping over its hill, i.e there's friction to slow down its rotational motion which thus reduces how fast Ball B will rotate at the top of the hill

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2 years ago
An astronaut is in equilibrium when he is positioned 140 km from the center of asteroid C and 581 km from the center of asteroid
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Answer:B

Explanation:

Given

Distance of astronaut From asteroid x is r_x=140 km

Distance of astronaut From asteroid Y is r_y=581 km

Suppose M,M_x,M_y be the masses of Astronaut , asteroid X and Y

If the astronaut is in equilibrium then net gravitational force on it is zero

F_x=F_y

\frac{GMM_x}{r_x^2}=\frac{GMM_y}{r_y^2}

cancel out the common terms we get

\frac{M_x}{r_x^2}=\frac{M_y}{r_y^2}

\frac{M_x}{M_y}=(\frac{r_x}{r_y})^2

\frac{M_x}{M_y}=(\frac{140}{581})^2

\frac{M_x}{M_y}=0.05806\approx 0.0581

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2 years ago
Consider heat transfer between two identical hot solid bodies and their environments. The first solid is dropped in a large cont
sergeinik [125]
<h2>For Second Solid Lumped System is Applicabe</h2>

Explanation:

Considering heat transfer between two identical hot solid bodies and their environments -

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Biot number = the ratio of conduction resistance within the body to convection resistance at the surface of the body

∴ For a lumped system analysis Biot number should be less than 0.1

4 0
2 years ago
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Zigmanuir [339]

We solve this using special relativity. Special relativity actually places the relativistic mass to be the rest mass factored by a constant "gamma". The gamma is equal to 1/sqrt (1 - (v/c)^2). <span>

We want a ratio of 3000000 to 1, or 3 million to 1. 

</span>

<span>Therefore:
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<span>v = 3 x 10^8 m/s</span></span></span>

8 0
2 years ago
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