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myrzilka [38]
3 years ago
7

Two solid cubes have the same Mass but their edges are in the ratio of 4:1. What isthe ratio of their densities?​

Physics
1 answer:
lawyer [7]3 years ago
7 0

Let <em>m</em> be the mass of both cubes. If the smaller cube has side length <em>x</em>, then its volume is <em>x</em> ³. The side lengths of the larger cube have length 4<em>x</em>, so the larger cube's volume is (4<em>x</em>)³ = 64<em>x</em> ³, or 64 times as large as the smaller cube.

The first cube has a density of <em>m</em>/<em>x</em> ³, while the larger one has a density of <em>m</em>/(64<em>x</em> ³) = 1/64 <em>m</em>/<em>x</em> ³, so the ratio of densities is (1/64):1, or 1:64 (larger cube to smaller cube).

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An alert physics student stands beside the tracks as a train rolls slowly past. He notes that the frequency of the train whistle
Dovator [93]

Answer:The velocity of the train is 3.84m/s

Explanation:

According to the Doppler effect, if the source is moving towards you then the apparent frequency of the sound emitted by the source is higher and if the source is moving away from you then the apparent frequency of the sound emitted by the source is smaller.

This is given by:

fo = V +-Vo/ V +-Vo × source

Where fo= observed frequency

V= velocity of sound

Vo= vo it of the observer

fsource= frequency the source

Given:

Observed frequency of the approaching train fo1= 452Hz

The observed frequency of train= fo2= 442Hz

Velocity of sound= 334m/s

Velocity of source=?

Train approaching the observer is given by:

fo1= V/(V - Vs)× source ...eq1

Train passes the student is given by:

fo2= V/(V - Vs)×source ...eq2

Divide eq1 by eq2

452/442 = (343+Vs)/(343 - Vs)

1.02 =(343+Vs)/(343 -Vs)

Cross multiply

1.02(343- Vs) = 343 + Vs

350.76 - 1.02Vs = 343 + Vs

Collecting like terms

350.76 -343= 1.02Vs+ Vs

7.76 = 2.02Vs

Vs= 7.76/2.02

Vs= 3.84m/s

4 0
3 years ago
A shovel pushes on dirt and the dirt pushes back on the shovel. The dirt pushing back is
Leno4ka [110]
The dirt pushing back is the 'resistance' force. It RESISTS your attempts to shovel it.
6 0
3 years ago
Nicolo` works on weekends at a Slow Food Parlor. He fills a pitcher full of Cola, places it on the counter top and gives the 2.6
Slav-nsk [51]

Answer:4.22 J

Explanation:

Given

mass of pitcher m=2.6\ kg

Force applied  F=8.8\ N

distance moved s=48\ cm

Applying work-Energy theorem which states that work done by all the forces is equal to the change in kinetic energy of the object

Work done by force W=F\cdot s

W=8.8\times 0.48 J

change in kinetic Energy =\frac{1}{2}mv^2-0

8.8\times 0.48=\Delta K.E.

K.E.-0=4.22

K.E.=4.22\ J

8 0
4 years ago
Give Example of mental flexibility
Inessa [10]

Answer:

If you ring the doorbell and no one opens the door, you'll infer that no one is home rather than continuing to ring the doorbell to an empty house. Being able to understand this and look for another solution is another example of mental flexibility.

Explanation:

6 0
3 years ago
Establishing a potential difference The deflection plates in an oscilloscope are 10 cm by 2 cm with a gap distance of 1 mm. A 10
Nezavi [6.7K]

Answer:

t = 23.9nS

Explanation:

given :

Area A= 10 cm by 2 cm => 2 x 10^-2m x 10 x 10^-2m

distance d= 1mm=> 0.001

resistor R= 975 ohm

Capacitance can be calculated through the following formula,

C = (ε0  x A )/d

C = (8.85 x 10^-12 x (2 x 10^-2 x 10 x 10^-2))/0.001

C = 17.7 x 10^-12    (pico 'p' = 10^-12)

C = 17.7pF

the voltage between two plates is related to time, There we use the following formula of the final voltage

Vc = Vx (1-e^-(t/CR))  

75 = 100 x (1-e^-(t/CR))

75/100 = (1-e^-(t/CR))

.75 = (1-e^-(t/CR))

.75 -1 = -e^-(t/CR)

-0.25 = -e^-(t/CR)  --->(cancelling out the negative sign)

e^-(t/CR) = 0.25

in order to remove the exponent, take logs on both sides  

-t/CR = ln (0.25)

t/CR = -ln(0.25)

t = -CR x ln (0.25)

t = -(17.7 x 10^-12 x 975) x (-1.38629)

t = 23.9 x 10^{-9  

t = 23.9ns

Thus, it took 23.9ns  for the potential difference between the deflection plates to reach 75 volts

6 0
3 years ago
Read 2 more answers
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