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Semmy [17]
3 years ago
15

A penny is dropped from the top of a building 290 m high. Ignoring air resistance, if

Physics
1 answer:
mel-nik [20]3 years ago
3 0

Answer:

Vf = 75.4 m/s

Explanation:

In order to find the final velocity of the penny when it would hit the ground, we will use the equation of motion. In this particular case the third equation of motion can be used. The third equation of motion is written as follows:

2gh = Vf² - Vi²

where,

Vf = Final Velocity of the penny when it would hit the ground = ?

Vi = Initial Velocity of the penny = 0 m/s (Since, the penny starts from rest)

g = acceleration due to gravity = 9.8 m/s²

h = height of building = 290 m

Therefore,

2(9.8 m/s²)(290 m) = Vf² - (0 m/s)²

Vf = √(5684 m²/s²)

<u>Vf = 75.4 m/s</u>

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how many miles can you get on one tank of gas if yout tank holds 18 gallons and you get 22miles per gallon
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4 years ago
For a damped simple harmonic oscillator, the block has a mass of 1.2 kg and the spring constant is 9.8 N/m. The damping force is
ArbitrLikvidat [17]

Answer:

a) t=24s

b) number of oscillations= 11

Explanation:

In case of a damped simple harmonic oscillator the equation of motion is

m(d²x/dt²)+b(dx/dt)+kx=0

Therefore on solving the above differential equation we get,

x(t)=A₀e^{\frac{-bt}{2m}}cos(w't+\phi)=A(t)cos(w't+\phi)

where A(t)=A₀e^{\frac{-bt}{2m}}

 A₀ is the amplitude at t=0 and

w' is the angular frequency of damped SHM, which is given by,

w'=\sqrt{\frac{k}{m}-\frac{b^{2}}{4m^{2}} }

Now coming to the problem,

Given: m=1.2 kg

           k=9.8 N/m

           b=210 g/s= 0.21 kg/s

           A₀=13 cm

a) A(t)=A₀/8

⇒A₀e^{\frac{-bt}{2m}} =A₀/8

⇒e^{\frac{bt}{2m}}=8

applying logarithm on both sides

⇒\frac{bt}{2m}=ln(8)

⇒t=\frac{2m*ln(8)}{b}

substituting the values

t=\frac{2*1.2*ln(8)}{0.21}=24s(approx)

b) w'=\sqrt{\frac{k}{m}-\frac{b^{2}}{4m^{2}} }

w'=\sqrt{\frac{9.8}{1.2}-\frac{0.21^{2}}{4*1.2^{2}}}=2.86s^{-1}

T'=\frac{2\pi}{w'}, where T' is time period of damped SHM

⇒T'=\frac{2\pi}{2.86}=2.2s

let n be number of oscillations made

then, nT'=t

⇒n=\frac{24}{2.2}=11(approx)

8 0
4 years ago
Question 7
VLD [36.1K]

Answer: m= 4kg

Explanation:

Use equation for force:

F=m*a

F=20 N

a=5 m/s²

m=?

1N=kg*m/s²

---------

F=m*a

m=F/a

m=(20 kg*m/s²)/5m/s²

m=4kg

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3 years ago
A wave with a frequency of 0.5 Hz and a speed of 10 m\s has a wavelength of..
aniked [119]
Wavelength = (speed) divided by (frequency) = 10/0.5 = <span>20 </span>
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