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9966 [12]
3 years ago
8

slader A baseball player slides to a stop on level ground. Using energy consideration, calculate the distance the 65 kg baseball

player slides, given his initial speed is 6 m/s and the force of friction against him is a constant 450N.
Physics
1 answer:
stich3 [128]3 years ago
6 0

Answer:

2.6 m

Explanation:

From work energy theorem we deduce that

0.5mv^{2}=fd

The kinetic energy equals to the work dine against friction energy.

Where m represent mass, v is the velocity, f is the frictional force and d is unknown distance that the player slides.

Making d the subject of the formula then d=\frac {mv^{2}}{2f}

Then by substituting 450N for f, 65 kg for m and 6 m/s for v we obtain

d=\frac {65*6^{2}}{2*450}=2.6m

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Answer:

Therefore, the moment of inertia is:

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Explanation:

The period of an oscillation equation of a solid pendulum is given by:

T=2\pi \sqrt{\frac{I}{Mgd}} (1)

Where:

  • I is the moment of inertia
  • M is the mass of the pendulum
  • d is the distance from the center of mass to the pivot
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Let's solve the equation (1) for I

T=2\pi \sqrt{\frac{I}{Mgd}}

I=Mgd(\frac{T}{2\pi})^{2}

Before find I, we need to remember that

T = \frac{1}{f}=\frac{1}{0.680}=1.47\: s

Now, the moment of inertia will be:

I=2*9.81*0.340(\frac{1.47}{2\pi})^{2}  

Therefore, the moment of inertia is:

I=0.37 \: kgm^{2}

I hope it helps you!

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