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Oksanka [162]
3 years ago
14

" title="\qquad \qquad\huge \underline{\boxed{\sf question}}" alt="\qquad \qquad\huge \underline{\boxed{\sf question}}" align="absmiddle" class="latex-formula">
How do you find the coordinates of centre of mass of multiple particle system ? ​
Physics
1 answer:
scZoUnD [109]3 years ago
8 0

By dividing the moments around the y-axis and around the x-axis,

respectively, by the total mass, the x- and y-coordinates of the centre of

mass may be determined.

<u><em>formula's</em></u><em>:</em>

  • y.cm=\left[\begin{array}{ccc}\frac{m1y1+m2y2+...}{m1+m2+...}\end{array}\right]
  • x.cm=\left[\begin{array}{ccc}\frac{m1x1+m2x2+....}{m1+m2+.....}\end{array}\right]

  • centre of two mass particle system: \left[\begin{array}{ccc}(m1+m2) r.cm =(m1 )r1+(m2) r2\end{array}\right]
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The froghopper, Philaenus spumarius, holds the world record for insect jumps. When leaping at an angle of 58.0° above the horizo
Jobisdone [24]

(a) 4.0 m/s

We can solve this part just by analyzing the vertical motion of the froghopper.

The initial vertical velocity of the froghopper as it jumps from the ground is given by

u_y = u_0 sin \theta (1)

where

u_0 is the takeoff speed

\theta=58.0^{\circ} is the angle of takeoff

The maximum height reached by the froghopper is

h = 58.7 cm = 0.587 m

We know that at the point of maximum height, the vertical velocity is zero:

v_y = 0

Since the vertical motion is an accelerated motion with constant (de)celeration g=-9.8 m/s^2, we can use the following SUVAT equation:

v_y^2 - u_y^2 = 2gh

Solving for u_y,

u_y = \sqrt{v_y^2-2gh}=\sqrt{-2(-9.8)(0.587)}=3.4 m/s

And using eq.(1), we can now find the initial takeoff  speed:

u_0 = \frac{u_y}{sin \theta}=\frac{3.4}{sin 58.0^{\circ}}=4.0 m/s

(b) 1.47 m

For this part, we have to analyze the horizontal motion of the froghopper.

The horizontal velocity of the froghopper is

u_x = u_0 cos \theta = (4.0) cos 58.0^{\circ} =2.1 m/s

And this horizontal velocity is constant during the entire motion.

We now have to calculate the time the froghopper takes to reach the ground: this is equal to twice the time it takes to reach the maximum height.

The time needed to reach the maximum height can be found through the equation

v_y = u_y + gt

Solving for t,

t=-\frac{u_y}{g}=-\frac{3.4}{9.8}=0.35 s

So the time the froghopper takes to reach the ground is

T=2t=2(0.35)=0.70 s

And since the horizontal motion is a uniform motion, we can now find the horizontal distance covered:

d=u_x T = (2.1)(0.70)=1.47 m

7 0
4 years ago
The Work-Energy Principle states that work is equal to the
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Answer:

the workenergy principle is measured in joules

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One difference between a fundamental niche and a realized niche is that ___
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A fundamental niche can be defined as the range of environmental conditions in which each of the species survives. The realized niche can be termed as the range of environmental conditions in which a species is really found.
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Its a solar cell. Photo voltaic Cell is also known as a solar cell.

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What portion of the electromagnetic spectrum is used for mass spectrometry
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The energy of the electromagnetic spectrum is not used in mass spectrography to make measurements.

<h3>What is mass spectrometry?</h3>

In physics and chemistry, mass spectrometry refers to statistical analytical techniques that allow scientists to determine the mass distribution of various types of molecules based on their mass on a substance.

The energy of the electromagnetic spectrum is not used in mass spectrography to make measurements. The process of mass spectrometry is primarily based on the interaction of molecules with a beam of electrons (rather than photons) and the subsequent measurement.

Hence the energy of the electromagnetic spectrum is not used in mass spectrography to make measurements.

To know more about Mass spectrometry follow

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