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sveta [45]
3 years ago
15

Find the ratio of the lengths of the two mathematical pendulums, if the ratio of periods is 1.5​

Physics
1 answer:
juin [17]3 years ago
3 0

Answer:

The ratio of lengths of the two mathematical pendulums is 9:4.

Explanation:

It is given that,

The ratio of periods of two pendulums is 1.5

Let the lengths be L₁ and L₂.

The time period of a simple pendulum is given by :

T=2\pi \sqrt{\dfrac{l}{g}}

or

T^2=4\pi^2\dfrac{l}{g}\\\\l=\dfrac{T^2g}{4\pi^2}

Where

l is length of the pendulum

l\propto T^2

or

\dfrac{l_1}{l_2}=(\dfrac{T_1}{T_2})^2 ....(1)

ATQ,

\dfrac{T_1}{T_2}=1.5

Put in equation (1)

\dfrac{l_1}{l_2}=(1.5)^2\\\\=\dfrac{9}{4}

So, the ratio of lengths of the two mathematical pendulums is 9:4.

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A horse is working steadily, providing 750 W of output power. How much food energy does the horse need to work for 1 hour, to th
Valentin [98]

Answer:

Under assumption that all food energy that needs the horse is transformed into work, then the horse needs approximately 3 megajoules of food energy to work for 1 hour.

Explanation:

Since horse is working steadily, the power experimented by the horse (\dot W), measured in watts, is at constant rate. Then, the work needed by the horse (W), measured in joules, is equal to that power multiplied by time (\Delta t), measured in seconds. That is:

W = \dot W\cdot \Delta t (1)

If we know that \dot W = 750\,W and \Delta t = 3600\,s, then the work needed for the horse is:

W = (750\,W)\cdot (3600\,s)

W = 2.7\times 10^{6}\,J

W = 2.7\,MJ

Under assumption that all food energy that needs the horse is transformed into work, then the horse needs approximately 3 megajoules of food energy to work for 1 hour.

7 0
3 years ago
The first hill of a roller coaster is 42 meters high. The top of the second hill of the one
Marta_Voda [28]

Answer:

Part a)

Speed of the roller coaster is

v = 13.3 m/s

Part b)

Since it is moving with non zero speed at some height above the ground

So we will have

Kinetic energy + Potential energy Both

Explanation:

As we know that there is no friction on the path

So here we can use mechanical energy conservation law

so we will have

Part a)

U_i  + K_i = U_f + K_f

mgh + 0 = \frac{1}{2}mv^2 + mgH

34500(9.81)(42) = \frac{1}{2}(34500)v^2 + 34500(9.81)(33)

v = 13.3 m/s

Part b)

Since it is moving with non zero speed at some height above the ground

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Kinetic energy + Potential energy Both

7 0
4 years ago
Read 2 more answers
¿Qué información se puede obtener de un gráfico rapidez versus tiempo?
yaroslaw [1]

Answer:

la velocidad se mide con el tiempo del tiempo que tarda el tiempo se mide por la hora del día y el reloj

Explanation:

5 0
3 years ago
Read 2 more answers
How much less power is wasted if the electricity is delivered at 50,000 v rather than 12,000 v?
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We are asked in this problem to determine the power wasted given the two voltages: 50,000 and 12,000 volts. By physics, the formula to determine power using volts is expressed as P = VI where P is in watts, V is in volts and I, current, is in Amperes. In this case, we just have to plug the given data to the equation named. 

1) P1 = 50,000*I
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P1 - P2 = (50,000-12,000)*I 
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8 0
3 years ago
Can you tell from your experiment so far whether the tapes carry a positive charge or a negative charge? Briefly explain your an
Softa [21]

Answer:

Explanation:

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Electric charge is a conserved property; the net charge of an isolated system, the amount of positive charge minus the amount of negative charge, cannot change. Electric charge is carried by subatomic particles. In ordinary matter, negative charge is carried by electrons, and positive charge is carried by the protons in the nuclei of atoms. If there are more electrons than protons in a piece of matter, it will have a negative charge, if there are fewer it will have a positive charge, and if there are equal numbers it will be neutral. Charge is quantized; it comes in integer multiples of individual small units called the elementary charge, e, about 1.602×10−19 coulombs,[1] which is the smallest charge which can exist freely (particles called quarks have smaller charges, multiples of

e, but they are only found in combination, and always combine to form particles with integer charge). The proton has a charge of +e, and the electron has a charge of −e.

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