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Katen [24]
3 years ago
14

A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a lengt

h of 0.79 m. With the string hanging vertically, the object is given an initial velocity of 1.1 m/s parallel to the ground and swings upward in a circular arc. Eventually, the object comes to a momentary halt at a point where the string makes an angle θ with its initial vertical orientation and then swings back downward. Find the angle θ.
Physics
1 answer:
valkas [14]3 years ago
6 0

Answer:

θ = 21.7 °.

Explanation:

Let the length of the pendulum be L. . Initial kinetic energy of pendulum

is 1/2 mv² . Initial  potential energy is zero .

The distance by which  the bob of pendulum is raised

= L - Lcosθ

= L (1 - cos θ )

Increase in potential energy = mgL(1- cosθ )

According to conservation of mechanical energy

1/2 mv² = mgL ( 1 - cos θ)

v² = 2gL(1-cosθ)

Putting the values of different variables given

( 1.1 )² = 2 x 9.8 x .79 (1-cosθ)

(1-cosθ) = .071

cosθ = .929

θ = 21.7 °.

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Answer:

12.7 m

Explanation:

The following data were obtained from the question:

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Maximum height (h) =..?

First, we shall convert 56.7 Km/hr to m/s. This can be obtained as follow:

Initial velocity (m/s) = 56.7 x 1000/3600

Initial velocity (m/s) = 15.75 m/s

Next, we shall determine the time taken to get to the maximum height. This can be obtained as follow:

Initial velocity (u) = 15.75 m/s

Final velocity (v) = 0 m/s

Acceleration due to gravity (g) = 9.8 m/s²

Time (t) =?

v = u – gt (since the ball is going against gravity)

0 = 15.75 – 9.8 × t

Rearrange

9.8 × t = 15.75

Divide both side by 9.8

t = 15.75/9.8

t = 1.61 secs.

Finally, we shall determine the maximum height as follow

h = ½gt²

Acceleration due to gravity (g) = 9.8 m/s²

Time (t) = 1.61 secs.

Height (h) =..?

h = ½gt²

h = ½ × 9.8 × 1.61²

h = 4.9 x 1.61²

h = 12.7 m

Therefore, the maximum height reached by the ball is 12.7 m

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If a truck driver is driving at 30 mph and she makes a U-turn, then starts driving at 30 mph in the opposite direction, did the
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A 1250 kg car starts are rest then speeds up to 15 m/s. What is the impulse of the car?
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DaniilM [7]

Answer:

the pressure fluctuation is LONGITUDINAL

Explanation:

Sound waves are an oscillating movement of air particles, this can be analyzed in two different, but equivalent ways, as an air oscillation and with a pressure wave due to these oscillations.

The expression for the wave is

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4 years ago
What is the rms current flowing through a light bulb that uses an average power of 30.0 W when it is plugged into a wall recepta
Amiraneli [1.4K]

Answer:

0.125 A

Explanation:

From the question given above, the following data were obtained:

Power (P) = 30 W

rms voltage (Vrms) = 240 V

rms Current (Irms) =?

The power in an electric circuit is given by the following equation:

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With the above formula, we can obtain the rms current flowing through the bulb as shown below:

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rms Current (Irms) =?

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Divide both side by 240

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Irms = 0.125 A

Thus, the rms current flowing through the light bulb is 0.125 A

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