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fiasKO [112]
3 years ago
7

The small ball of mass m = 0.5 kg is attached to point A via string and is moving at constant speed in a horizontal circle of ra

dius R = 0.16 m. The rate of rotation of the ball around the circle is ω = 2 rad/s. If the gravitational acceleration constant g is 10 m/s2 , find the value of height d.

Physics
1 answer:
babymother [125]3 years ago
3 0

Answer:

d = 2.45 meters

Explanation:

Mass of the ball, m = 0.5 kg

Radius of the circle, r = 0.16 m

The angular speed of the ball around the circle is, \omega=2\ rad/s

The attached figure shows the whole scenario. Let F_t is the force acting on the ball in tangential direction. The forces will balanced each other at equilibrium.

In horizontal direction,

T\ sin\theta=F_t=mr\omega^2................(1)

In vertical direction,

T\ cos\theta=mg...............(2)

From equation (1) and (2) :

tan\theta=\dfrac{r\omega^2}{g}

Also,

tan\theta=\dfrac{r}{d}

d=\dfrac{g}{\omega^2}d=\dfrac{9.8}{2^2}

d = 2.45 meters

So, the value of d is 2.45 meters. Hence, this is the required solution.  

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A race car drives one lap around a race track that is 500 meters in length.
pychu [463]

Explanation:

Check out the picture I drew for a minute before reading this...

B. Distance [the red line] is a scalar quantity reflecting how far an object has traveled. Displacement [the green line] is a vector quantity reflecting how far an object has moved from a point. The key difference is that distance can be any sort of path while displacement is always a vector (or a straight line) between a starting point and a finishing point. Sometimes distance and displacement are equal to one another. Sometimes you have a distance traveled, but zero displacement overall; which is what's going on in your question.

A. The distance that the racecar traveled is indeed 500m. But at the end of the lap, it is right back where it started. So overall, it has been displaced 0m.

3 0
2 years ago
As a quality test of ball bearings, you drop bearings (small metal balls), with zero initial velocity, from a height of 1.94 m i
11Alexandr11 [23.1K]

Answer:

The average acceleration of the bearings is 0.77\times10^{3}\ m/s^2

Explanation:

Given that,

Height = 1.94  m

Bounced height = 1.48 m

Time interval t=14.86\times10^{-3}\ s

Velocity of the ball bearing just before hitting the steel plate

We need to calculate the velocity

Using conservation of energy

mgh=\dfrac{1}{2}mv^2

Put the value into the formula

9.8\times1.94=\dfrac{1}{2}\times v^2

v=\sqrt{2\times9.8\times1.94}

v=6.166\ m/s

Negative as it is directed downwards

After bounce back,

We need to calculate the velocity

Using conservation of energy

mgh=\dfrac{1}{2}mv^2'

Put the value into the formula

9.8\times1.48=\dfrac{1}{2}\times v^2'

v'=\sqrt{2\times9.8\times1.48}

v'=5.38\ m/s

We need to calculate the average acceleration of the bearings while they are in contact with the plate

Using formula of acceleration

a=\dfrac{v-v'}{t}

Put the value into the formula

a=\dfrac{5.38-(-6.166)}{14.86\times10^{-3}}

a=776.98\ m/s^2

a=0.77\times10^{3}\ m/s^2

Hence,The average acceleration of the bearings is 0.77\times10^{3}\ m/s^2

6 0
3 years ago
When do we use v=2s/t and what does that equation mean?
djyliett [7]

Answer:

This can be used to find out the speed of the returned journey. The equation means speed = returned distance ÷ time.

Explanation:

5 0
3 years ago
What type of mage can never be formed by a converging lens?
Irina18 [472]

Answer: Real image

Explanation:

converging lens will only produce a real image if the object is located beyond the focal point (i.e., more than one focal length away).

4 0
3 years ago
Which of the following is the smallest conceivable amount of time that could pass between a lunar eclipse and a solar eclipse .
pickupchik [31]
The time required for a moon to orbit around the earth is about 27-28 days

In order for lunar eclipse to occur the line that should be formed is:
Sun-Earth-Moon
because earth is making shade on moon

in order for solar eclipse to occur the line is now:
Sun-Moon-Earth
because moon is making a shade on earth (blocking sun = solar eclipse)

Therefore moon needs to make half of its orbit to go from behind the earth to in front of the earth.

28/2 = 14

Answer is 14
5 0
2 years ago
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