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Evgen [1.6K]
3 years ago
13

A boy whirls a ball on a string in a horizontal circle of radius 0.65 m. If the ball is traveling at 9 m/s, what is the centripe

tal acceleration
Physics
1 answer:
djverab [1.8K]3 years ago
5 0

Answer:

ac = 124.6 m/s²

Explanation:

When an object executes a uniform circular motion, acceleration is produced in it due to a change in its direction during the motion. This acceleration is called the centripetal acceleration. The formula used to find this acceleration is given as follows:

a_{c} = \frac{v^{2}}{r}\\

where,

ac = centripetal acceleration = ?

v = speed = 9 m/s

r = radius = 0.65 m

Therefore,

a_{c} = \frac{(9\ m/s)^{2}}{0.65\ m}\\

<u>ac = 124.6 m/s²</u>

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8
Doss [256]

Answer:

The resultant velocity is <u>169.71 km/h at angle of 45° measured clockwise with the x-axis</u> or the east-west line.

Explanation:

Considering west direction along negative x-axis and north direction along  positive y-axis

Given:

The car travels at a speed of 120 km/h in the west direction.

The car then travels at the same speed in the north direction.

Now, considering the given directions, the velocities are given as:

Velocity in west direction is, \overrightarrow{v_1}=-120\ \vec{i}

Velocity in north direction is, \overrightarrow{v_2}=120\ \vec{j}

Now, since v_1\ and\ v_2 are perpendicular to each other, their resultant magnitude is given as:

|\overrightarrow{v_{res}}|=\sqrt{|\overrightarrow{v_1}|^2+|\overrightarrow{v_2}|^2}

Plug in the given values and solve for the magnitude of the resultant.This gives,

|\overrightarrow{v_{res}}|=\sqrt{(120)^2+(120)^2}\\\\|\overrightarrow{v_{res}}|=120\sqrt{2} = 169.71\ km/h

Let the angle made by the resultant be 'x' degree with the east-west line or the x-axis.

So, the direction is given as:

x=\tan^{-1}(\frac{|v_2|}{|v_1|})\\\\x=\tan^{-1}(\frac{120}{-120})=\tan^{-1}(-1)=-45\ deg(clockwise\ angle\ with\ the\ x-axis)

Therefore, the resultant velocity is 169.71 km/h at angle of 45° measured clockwise with the x-axis or the east-west line.

4 0
3 years ago
How many centimeters are in 3.50 feet?
Kazeer [188]
106.68 centimetres are in 3.50 feet
4 0
3 years ago
Two small metal spheres are 25 cm apaft.The spheres have equal amount of negative charge and repel each other with a force of 0.
Mars2501 [29]

Answer:

0.5\times 10^{-6}C

Explanation:

According to coulombs law force between two charges is given by F=\frac{1}{4\pi \epsilon _0}\frac{Q_1Q_2}{R^2} here R is the distance between both the charges which is given as 25 cm

We have given force F =0.036 N

So  0.036=\frac{1}{4\pi \times 8.85\times 10^{-12}}\frac{Q^2}{(0.25^2)} As \epsilon _0 is constant which value is 8.85\times 10^{-12}

Q^2=0.250\times 10^{-12}

Q=0.5\times 10^{-6}C

8 0
4 years ago
Which statement correctly describes the gravitational potential energy of the pendulum based on this diagram?
MrRa [10]
I think it's 'C' but I won't know for sure until you let me see the diagram.
8 0
4 years ago
what is the geocentric model of stars and planets? a.) the belief that stars and planets revolve around the earth b.) the belief
amid [387]

a.) the belief that stars and planets revolve around the earth

Explanation:

The geocentric model of stars and planets is the belief that stars and planets revolves around the earth.

The model places the earth at the center of the system.

  • Geo - earth ; centric - center
  • This was the original school of thought about the way the earth relates to other bodies in the universe.
  • This model was replaced by the heliocentric universe in which stars are at the center and the planets revolves round them.
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learn more:

Energy of the sun brainly.com/question/1140127

#learnwithBrainly

7 0
3 years ago
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