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aalyn [17]
3 years ago
5

Type of force that keep objects moving in a circle or arv​

Physics
1 answer:
Svetlanka [38]3 years ago
7 0

Answer: a net force

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In a gasoline engines cylinder, 45j of work is done by the gas and 175 j Is removed from the gas as heat. What is the change in
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Answer:

The first law of thermodynamics states that the change in internal energy of a system equals the net heat transfer into the system minus the net work done by the system. In equation form, the first law of thermodynamics is ΔU = Q − W.

The internal energy of ideal gas is U = cV The change in internal energy for ideal gas is therefore ∆U = cV ∆T, where cV is specific heat (at constant volume), and ∆T is change in tem- perature.

Explanation:

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The chemical formula for water, H2O, means that each water molecule contains
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The chemical formula for water, H2o means that each water molecule contains one oxygen atom and two hydrogen atoms. This is the formula for water which has a liquid form, a solid form as ice, and also a gaseous form as water vapor. 
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A pulley system is such that a person pulls down with 10 N of force to lift a 20 N object. The
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a particle is moving with shm of period 8.0s and amplitude 5.0cm. find (a) the speed of particle when it is 3.0m from the centre
Fudgin [204]

Answer:

a) speed=\pi cm/s

b) v_{max}=\frac{5\pi}{4} cm/s

c) a_{max}=\frac{5\pi^{2}}{16} cm/s^{2}

Explanation:

The very first thing we must do in order to solve this problem is to find an equation for the simple harmonic motion of the given particle. Simple harmonic motion can be modeled with the following formula:

y=Asin(\omega t)

where:

A=amplitude

\omega= angular frequency

t=time

we know the amplitude is:

A=5.0cm

and the angular frequency can be found by using the following formula:

\omega=\frac{2\pi}{T}

so our angular frequency is:

\omega=\frac{2\pi}{8s}

\omega=\frac{\pi}{4}

so now we can build our equation:

y=5sin(\frac{\pi}{4} t)

we need to find the speed of the particle when it is 3m from the centre of its motion, so we need to find the time t when this will happen. We can use the equation we just found to get this value:

y=5sin(\frac{\pi}{4} t)

3=5sin(\frac{\pi}{4} t)

so we solve for t:

sin(\frac{\pi}{4} t)=\frac{3}{5}

\frac{\pi}{4} t=sin^{-1}(\frac{3}{5})

t=\frac{4}{\pi}sin^{-1}(\frac{3}{5})

you can directly use this expression as the time or its decimal representation:

t=0.81933

since we need to find the speed of the particle at that time, we will need to get the derivative of the equation that represents the particle's position, so we get:

y=5sin(\frac{\pi}{4} t)

y'=5cos(\frac{\pi}{4} t)*\frac{\pi}{4}

which simplifies to:

y' =\frac{5\pi}{4}cos(\frac{\pi}{4} t)

and we can now substitute the t-value we found previously, so we get:

y'=\frac{5\pi}{4}cos(\frac{\pi}{4} (0.81933))

y'=\pi

so its velocity at that point is \pi cm/s

b) In order to find the maximum velocity we just need to take a look at the velocity equation we just found:

y' =\frac{5\pi}{4}cos(\frac{\pi}{4} t)

its amplitude will always give us the maximum velocity of the particle, so in this case the amplitude is:

A=\frac{5\pi}{4}

so:

v_{max}=\frac{5\pi}{4} cm/s

c) we can use a similar procedure to find the maximum acceleration of the particle, we just need to find the derivative of the velocity equation and determine its amplitude. So we get:

y'= \frac{5\pi}{4}cos(\frac{\pi}{4} t)

We can use the chain rule again to find this derivative so we get:

y" =-\frac{5\pi}{4}sin(\frac{\pi}{4} t)*(\frac{pi}{4})

so when simplified we get:

y"=-\frac{5\pi^{2}}{16}sin(\frac{\pi}{4} t)

its amplitude is:

A=\frac{5\pi^{2}}{16}

so its maximum acceleration is:

a_{max}=\frac{5\pi^{2}}{16} cm/s^{2}

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A granite monument has a volume of 25,365.4 cm3. The density of granite is 2.7 g/cm3. Use this information to calculate the mass
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As density = mass/volume

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<span>Mass of the granite monument to the nearest tenth = 68,485.6 g</span>

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