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Naddik [55]
3 years ago
5

A 64-kg base runner begins his slide into second base when he is moving at a speed of 3.4 m/s. The coefficient of friction betwe

en his clothes and Earth is 0.70. He slides so that his speed is zero just as he reaches the base. (a) How much mechanical energy is lost due to friction acting on the runner
Physics
1 answer:
levacccp [35]3 years ago
6 0
First you need to find total mechanical energy which is kinetic energy+potential energy, or (1/2mv^2+mgh). Since there is no height, we can pretty much ignore the potential energy and just calculate the kinetic.


1/2mv^2=1/2(64)(3.4)^2= 369.92J. Since it says the speed is 0 at the end of the run, we can assume that all the mechanical energy was lost. Therefore, 369.92 J of energy was lost
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Zinaida [17]
B) initial speed (u)=3
final speed (v)=8
time (t)= 10
acceleration (a)=?

v=u+at
8=3+a(10)
5=10a
a=1/2= 0.5 m/s²

c)displacement (s)=?
1st section of journey

v ²=u ²+2as
8 ²=3 ²+2(0.5)s
64=9+1s
s=55meters

2nd section of journey
a=0
t=7
u=8
s=?

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s=56 meters

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3 years ago
Two in-phase loudspeakers emit identical 1000 Hz sound waves along the x-axis. Part A What distance should one speaker be placed
Fiesta28 [93]

The distance a speaker should be placed behind  other sound to have an amplitude 1.50 times is 4.523 m.

<h3>What is wavelength?</h3>

The wavelength is the distance between the adjacent crest or trough of the sinusoidal wave. The wavelength is the reciprocal of the frequency of the wave.

Wavelength λ = v/f

Two in-phase loudspeakers emit identical 1000 Hz sound waves along the x-axis.

λ  = 343 m/s /1000 Hz

λ = 0.343 m

Distance, one should speaker be placed behind the other for the sound to have an amplitude 1.50 times that of each speaker alone.

The amplitude of the waveform due to waves,

A = 2a cos (ΔΦ/2)

ΔΦ = 2π x Δx/λ

So, A =  2a cos (π x Δx/λ)

Substitute the values, we get

1.5a = 2a cos (3.14 x  Δx/ 0.343)

Δx = 4.523 m

Thus, the distance is 4.523 m.

Learn more about wavelength.

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