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dolphi86 [110]
3 years ago
9

What conventions are used in SI to indicate units

Physics
1 answer:
klemol [59]3 years ago
5 0

Answer:

<u>Conventions used in SI to indicate units are as follows:</u>

  • Only singular form of units are used. for example: use kg and not kgs.
  • Do not use full stop after the abbreviations of any unit. for example: do not use kg. or cm.
  • Use one space between last numeric digit and SI unit. for example: 10 cm, 9 km.
  • Symbols and words should not be mixed. for example: use Kilogram per cubic and not kilogram/m3.
  • While writing numerals, only the symbols of the units should be written. for example: use 10 cm and not Ten cm.
  • Units named after a scientist should be written in small letters. for example: newton, henry.
  • Degree sign should not be used when the kelvin unit is used. for exmaple: use 37° and not 37°k

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A bag of sugar weighs 2 kg on earth. What should it weigh in newtons on the moon, where the free-fall acceleration is 1/6 that o
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Light from a laser of wavelength λ1 shines normally on a pair of narrow slits separated by distance D. This results in a differe
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putting the values given in the problem. ,

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A baseball is hit that just goes over a wall that is 45.4m high. If the baseball is traveling at 46.2 m/s at an angle of 32.7° b
mario62 [17]

Answer:

54.9 m/s at 44.9 degrees

Explanation:

If the ball has a total velocity of 46.2 m/s, at an angle of -32.7 degrees, we can decompose its speed into its horizontal and vertical components.

Vx = V * cos(a) = 46.2 * cos(-32.7) = 38.9 m/s

Vy = V * sin(a) = 46.2 * sin(-32.7) = -25 m/s

SInce there is no force on the horizontal direction (omitting air drag), we can assume constant horizontal speed.

Since a ball thrown is at free fall, only affected by gravity (omitting air drag), we can say it is affected by constant acceleration, therefore we can use

Y(t) = Y0 + Vy0 *t + 1/2 * a * t^2

We consider t=0 as the moment when the ball was hit, so in this case Y0 = 1 m

If we take the first derivative of the equation of position, we get the equation for speed

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We know that being t2 the moment the ball goes over the wall

V(t2) = -25 m/s

Y(t2) = 45.4 m

So:

45.4 = 1 + Vy0 * t2 + 1/2 * a * t2^2

-25 = Vy0 + a * t2

Then:

Vy0 = -25 - a * t2

So:

45.4 = 1 + (-25 - a * t2) * t2 + 1/2 * a * t2^2

0 = -44.4 - 25 * t2 - 1/2 * a * t2^2

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0 = -44.4 - 25 * t2 + 4.9 * t2^2

Solving this quadratic equation we get:

t1 = -1.39 s

t2 = 6.5 s

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Now we can obtain Vy0:

Vy0 = -25 + 9.81 * 6.5 = 38.76 m/s

Since horizontal speed is constant Vx0 = 38.9 m/s

By Pythagoras theorem we obtain the value of the initial speed:

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a = atan(Vy0/Vx0) = 44.9 degrees

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