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Paul [167]
3 years ago
14

When a rattlesnake strikes, its head accelerates from rest to a speed of 21 m/s in 0.5 seconds. Assume for simplicity that the o

nly moving part of the snake is its head of mass 180 g. How much (average) power does the rattlesnake need to accelerate its head that fast? Answer in units of W.

Physics
2 answers:
AlladinOne [14]3 years ago
8 0

Answer:

Power = 79.38 W

Explanation:

Given Data:

Mass of the snake head = m = 180 g = 0.18 kg

Velocity of snake = v = 21 m/s

Time = t = 0.5 sec

Required:

Average Power = P = ?

Solution

Power = work done / time

Work done = W = change in Kinetic Energy = 1/2m(Vf^2 - Vi^2)

Since Vi = zero as snake was at rest at initial stage, thus

Work done = W=1/2 (mv^2)

Substituting this value in power equation

P=\frac{mv^2}{2t}\\=\frac{0.18*21^2}{2*0.5}\\  P=79.38 W

kotegsom [21]3 years ago
5 0

Explanation:

Below is an attachment containing the solution.

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Explanation:

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Two identical positive charges are placed near each other. At the point halfway between the two chargesTwo identical positive ch
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Answer:The electric field is zero and the potential is positive.

Explanation:

Two identical positive charges are separated by a certain distance and midway between charges two identical positive charges are placed near each other.

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3 years ago
You launch a cannonball at an angle of 35° and an initial velocity of 36 m/s (assume y = y₁=
velikii [3]

Answer:

Approximately 4.2\; {\rm s} (assuming that the projectile was launched at angle of 35^{\circ} above the horizon.)

Explanation:

Initial vertical component of velocity:

\begin{aligned}v_{y} &= v\, \sin(35^{\circ}) \\ &= (36\; {\rm m\cdot s^{-1}})\, (\sin(35^{\circ})) \\ &\approx 20.6\; {\rm m\cdot s^{-1}}\end{aligned}.

The question assumed that there is no drag on this projectile. Additionally, the altitude of this projectile just before landing y_{1} is the same as the altitude y_{0} at which this projectile was launched: y_{0} = y_{1}.

Hence, the initial vertical velocity of this projectile would be the exact opposite of the vertical velocity of this projectile right before landing. Since the initial vertical velocity is 20.6\; {\rm m\cdot s^{-1}} (upwards,) the vertical velocity right before landing would be (-20.6\; {\rm m\cdot s^{-1}}) (downwards.) The change in vertical velocity is:

\begin{aligned}\Delta v_{y} &= (-20.6\; {\rm m\cdot s^{-1}}) - (20.6\; {\rm m\cdot s^{-1}}) \\ &= -41.2\; {\rm m\cdot s^{-1}}\end{aligned}.

Since there is no drag on this projectile, the vertical acceleration of this projectile would be g. In other words, a = g = -9.81\; {\rm m\cdot s^{-2}}.

Hence, the time it takes to achieve a (vertical) velocity change of \Delta v_{y} would be:

\begin{aligned} t &= \frac{\Delta v_{y}}{a_{y}} \\ &= \frac{-41.2\; {\rm m\cdot s^{-1}}}{-9.81\; {\rm m\cdot s^{-2}}} \\ &\approx 4.2\; {\rm s} \end{aligned}.

Hence, this projectile would be in the air for approximately 4.2\; {\rm s}.

8 0
2 years ago
Read 2 more answers
A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of
Rudiy27

Answer:

Explanation:

Given

mass of spring m=100\ gm

extension in spring x=5\ cm

downward velocity v=70\ cm/s

Position in undamped free vibration is given by

u(t)=A\cos \omega _0t+B\sin \omega _0t

where \omega _0^2=\frac{k}{m}

also \frac{k}{m}=\frac{g}{L}

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it is given

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substituting values we get

A=0

u(t)=B\sin (14t)

u'(t)=14B\cos (14t)

70=14B

B=\frac{10}{2}

B=5

u(t)=5\sin (14t)

3 0
4 years ago
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