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3 years ago

How is the condition defined by newtons first law different from the second law of motion

1 answer:

8 0

Newton's Second Law. Newton's first law of motion predicts the behavior of objects for which all existing forces are balanced. The first law - sometimes referred to as the law of inertia - states that if the forces acting upon an object are balanced, then the acceleration of that object will be 0 m/s/s. Hope this helped! :)

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A simple harmonic oscillator consists of a block (m = 0.50 kg) attached to a spring (k = 128 N/m). The block is pulled a certain

Zinaida [17]

Answer:

0.5 m

14.00595

8 m/s, 0.0625 s

5.71314 m/s

Explanation:

k = Spring constant = 128 N/m

A = Amplitude

E = Energy in spring = 16 J

Energy in spring is given by

$E=\dfrac{1}{2}kA^2\\\Rightarrow A=\sqrt{\dfrac{2E}{k}}\\\Rightarrow A=\sqrt{\dfrac{2\times 16}{128}}\\\Rightarrow A=0.5\ m$

The amplitude is 0.5 m

Time period is given by

$T=2\pi\sqrt{\dfrac{m}{k}}\\\Rightarrow T=2\pi\sqrt{\dfrac{0.5}{128}}\\\Rightarrow T=0.39269\ s$

Number of oscillations is given by

$N=\dfrac{5.5}{0.39269}\\\Rightarrow N=14.00595$

The number of oscillations is 14.00595

For maximum speed

$\dfrac{1}{2}mv^2=16\\\Rightarrow v=\sqrt{\dfrac{16\times 2}{0.5}}\\\Rightarrow v=8\ m/s$

The maximum speed is 8 m/s

For a distance of 0.5 m which is the amplitude

$Time=\dfrac{Distance}{Speed}\\\Rightarrow Time=\dfrac{0.5}{8}\\\Rightarrow Time=0.0625\ s$

The time taken would be 0.0625 s

The maximum kinetic energy is equal to the mechanical energy

$\dfrac{1}{2}mv^2+\dfrac{1}{2}kx^2=16$

At x = 0.35 m

$v=\sqrt{\dfrac{16-\dfrac{1}{2}kx^2}{\dfrac{1}{2}m}}\\\Rightarrow v=\sqrt{\dfrac{16-\dfrac{1}{2}128\times 0.35^2}{\dfrac{1}{2}0.5}}\\\Rightarrow v=5.71314\ m/s$

The speed of the block is 5.71314 m/s

4 0

3 years ago

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almost 500 grams of sugar can dissolve in 100 milliters of boiling water. you have a boiling solution of liquid with as much sug

amid [387]

The solution is 'supersaturated' ... holding more solute than it's supposed to be able to hold.

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3 years ago

Technician a says heat transfer is always hot to cold. technician b says high pressure always flows to low pressure. who is corr

r-ruslan [8.4K]

Both the technician are correct.

All the driving force in the universe always flow from the higher body to lower body, until unless acted by external forces. Which means heat always flow from a hotter body to colder body, high pressure always flow to low pressure.

Therefore the both the technician are correct.

5 0

3 years ago

You need to fill a basketball with air to play with it. You know that your pump expels air at a velocity of 6 cm/s. You know tha

Scrat [10]

Answer:

The diameter of the needle is 4.675 cm.

Explanation:

Given:

Volume flow rate is, $\dot V=103\ cm^3$

Velocity of air expelled by pump is, $v=6\ cm/s$

Let the area of the needle be 'A' cm² and the diameter be 'd' cm.

We know that, volume flow rate of the air expelled by pump is given as the product of the needle's area and velocity of air flowing through that area.

Therefore, volume flow rate is given as:

$\dot V=A\times v\\\\103=A\times 6\\\\6A=103\\\\A=\frac{103}{6}\ cm^2$

Now, considering the needle to be circular, area of the needle can be written as:

$A=\frac{\pi}{4}\times d^2\\\\\frac{103}{6}=\frac{\pi}{4}\times d^2\\\\d^2=\frac{103\times 4}{6\pi}\\\\d=\sqrt{\frac{103\times 4}{6\pi}}\\\\d=4.675\ cm$

Therefore, the diameter of the needle is 4.675 cm.

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3 years ago

Red, green, and blue light rays each enter a drop of water from the same direction.Which light ray's path through the drop will

KengaRu [80]

Blue will be the most and red the least

4 0

4 years ago

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