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4 years ago

Draw the curve for determining the value of g using compound pendulum.

Physics

1 answer:

____ [38]4 years ago

3 0

Given that,

Acceleration due to gravity = g

Time period :

Time period is defined as,

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

Where, l = length of pendulum

g = acceleration due to gravity

We need to calculate the value of g

Using formula of time period

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

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

Where, T = time period

l = length of pendulum

Hence, The value of g is $\dfrac{4\pi^2l}{T^2}$

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Consider the same roller coaster. It starts at a height of 40.0 m but once released, it can only reach a height of 25.0 m above

poizon [28]

Answer:

The magnitude of the frictional force between the car and the track is 367.763 N.

Explanation:

The roller coster has an initial gravitational potential energy, which is partially dissipated by friction and final gravitational potential energy is less. According to the Principle of Energy Conservation and Work-Energy Theorem, the motion of roller coster is represented by the following expression:

$U_{g,1} = U_{g,2} + W_{dis}$

Where:

$U_{g,1}$ , $U_{g,2}$ - Initial and final gravitational potential energy, measured in joules.

$W_{dis}$ - Dissipated work due to friction, measured in joules.

Gravitational potential energy is described by the following formula:

$U = m \cdot g \cdot y$

Where:

$m$ - Mass, measured in kilograms.

$g$ - Gravitational constant, measured in meters per square second.

$y$ - Height with respect to reference point, measured in meters.

In addition, dissipated work due to friction is:

$W_{dis} = f \cdot \Delta s$

Where:

$f$ - Friction force, measured in newtons.

$\Delta s$ - Travelled distance, measured in meters.

Now, the energy equation is expanded and frictional force is cleared:

$m \cdot g \cdot (y_{1} - y_{2}) = f\cdot \Delta s$

$f = \frac{m \cdot g \cdot (y_{1}-y_{2})}{\Delta s}$

If $m = 1000\,kg$ , $g = 9.807\,\frac{m}{s^{2}}$ , $y_{1} = 40\,m$ , $y_{2} = 25\,m$ and $\Delta s = 400\,m$ , then:

$f = \frac{(1000\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (40\,m-25\,m)}{400\,m}$

$f = 367.763\,N$

The magnitude of the frictional force between the car and the track is 367.763 N.

7 0

4 years ago

What equation p=m x v used to determine

OverLord2011 [107]

Answer:

The Momentum Calculator uses the formula p=mv, or momentum (p) is equal to mass (m) times velocity (v). The calculator can use any two of the values to calculate the third.

Explanation:

5 0

3 years ago

Conservation of energy is explained as a scientific law and not a _______ because it does not explain why energy is conserved

AURORKA [14]

Answer:

Theory

Explanation:

Conservation of energy is explained as a scientific law and not a theory because it does not explain why energy is conserved.

A law is a the statement of a scientific fact. It is a product of repeated experiment and observation through time. Most laws do not explain the reason for the logic behind their premise.

A theory on the other hand provides an explanation for an observed phenomenon. Most theories are no immutable. They are often changed when new finds are reported or made.

Laws are immutable and they stand still.

6 0

3 years ago

What is one advantage of using primary source when doing research on an experiment

kenny6666 [7]

the benefit of direct contact, through a survey or interview

6 0

3 years ago

A 1.5m wire carries a 3 A current when a potential difference of 74 V is applied. What is the resistance of the wire?

Allisa [31]

Answer:

24.7 ohms

Explanation:

Given in the question,

electric current = 3 A

potential difference = 74 V

Using ohm's law

R = V/I

<em>R = resistance of wire</em>

<em>V = potential difference</em>

<em>I = electric current</em>

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plug value in the formula

R = 74/3

R = 24.7 ohms

Therefore, the resistance of the wire is, 24.7 ohms

4 0

3 years ago