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Gala2k [10]
3 years ago
15

What is the moment of inertia of the object starting from rest if it has a final velocity of 5.9 m/s? Express the moment of iner

tia as a multiple of MR2 , where M is the mass of the object and R is its radius.
Physics
1 answer:
Bogdan [553]3 years ago
5 0

Answer:

The moment of inertia is I = 0.126*R^2*M

Explanation:

We can calculate the moment of inertia of an object that starts from rest and has a final velocity using the energy conservation equation, as follows:

Ek1 + Ep1 = Ek2 + Ep2, where

Ek1 = kinetic energy of the object before to roll down

Ep1 = potential energy of the object

Ek2 = kinetic energy when the object comes down

Ep2 = potential energy of the object at the bottom

We have the follow:

Ek1 = 0

Ep1 = M*g*h

Ek2 = ((I*w)/2) + ((M*v^2)/2)

Ep2 = 0

Replacing values:

0 + M*g*h = ((I*w)/2) + ((M*v^2)/2) + 0

where:

M = mass of the object

g = gravitational acceleration

I = moment of the inertia

w = angular velocity = v/R

h = height

M*g*h = ((1/2) * I * (v^2/R^2)) + ((M*v^2)/2)

M*9.8*2 = (I*(5.9^2)/(2*R^2)) + ((5.9^2 * M)/2)

19.6 * M = ((17.4*I)/R^2) + 17.4*M

Clearing I, we have:

I = 0.126*R^2*M

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If displacement covered by a particle is zero then distance cover by it<br>​
sleet_krkn [62]

Answer:

When displacement is zero, the particle may be at rest, therefore, distance travelled = 0.

Again, when displacement is zero, the final position matches with the initial position after some time, but the distance travelled will not be zero.

7 0
2 years ago
Lauren throws her first pitch of the season for her school's softball team. If the ball travels 80 feet and takes 1.58 seconds t
kow [346]

Answer:

<em><u>5</u></em><em><u>0</u></em><em><u>.</u></em><em><u>6</u></em><em><u>3</u></em><em><u> </u></em><em><u>f</u></em><em><u>t</u></em><em><u>/</u></em><em><u>s</u></em><em><u> </u></em><em><u>(</u></em><em><u>2</u></em><em><u>d</u></em><em><u>p</u></em><em><u>)</u></em>

Explanation:

Speed = Distance/Time

80/1.58 = 50.63291139

= <u>50.63</u><u> </u><u>f</u><u>t</u><u>/</u><u>s</u> (2dp)

6 0
2 years ago
Match each type of wave to the way it moves.
OverLord2011 [107]

Answer:

Transverse wave- Back and forth at right angles to the direction of the wave arrow.

longitudinal wave- bask and forth in the direction of the motion of the motion of the wave.

electromagnetic wave- two alternating waves moving at right angles to each other.

Explanation:

In a longitudinal wave, the particles vibrate at right angles in reference to the wave motion.

In a transverse wave, the particles vibrate parallel to the wave motion

Electromagnetic waves occur as a result of the interaction between two  waves and are normally transverse in nature.  

8 0
3 years ago
At a local swimming pool, the diving board is elevated h = 5.5 m above the pool's surface and overhangs the pool edge by L = 2 m
Margaret [11]

Answer:

Part a)

t = \sqrt{\frac{2h}{g}}

Part b)

t = 1.06 s

Part c)

L  = 4.86 m

Explanation:

Part a)

The height of the diving board is given as

h = 5.5 m

now the speed of the diver is given as

v_0 = 2.7 m/s

when the diver will jump into the water then his displacement in vertical direction is same as that of height of diving board

So we will have

y = v_y t + \frac{1}{2}at^2

h = 0 + \frac{1}{2}gt^2

t = \sqrt{\frac{2h}{g}}

Part b)

t = \sqrt{\frac{2h}{g}}

plug in the values in the above equation

t = \sqrt{\frac{2(5.5 m)}{9.81}

t = 1.06 s

Part c)

Horizontal distance moved by the diver is given as

d = v_0 t

d = 2.7 \times 1.06

d = 2.86 m

so the distance from the edge of the pool is given as

L = 2.86 + 2

L  = 4.86 m

4 0
3 years ago
Why can't we breath under water?
Kipish [7]

We can certainly draw water into our lungs, even though
our brain screams "Don't do that !".

But our lungs can only separate oxygen out of air, not out of
water.  So if there's only water in our lungs, we pass out after
a short time because we're not getting any oxygen.


5 0
2 years ago
Read 2 more answers
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