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VashaNatasha [74]
2 years ago
7

A bob attached to a string of length L = 1.25 m, initially found at the equilibrium

Physics
1 answer:
malfutka [58]2 years ago
4 0

The maximum displacement angle of the bob is 13⁰.

The given parameters;

  • <em>Length of the pendulum, L = 1.25 m</em>
  • <em>Initial velocity of the bob, v = 0.8 m/s</em>

The maximum displacement of the bob is calculated by applying the principle of conservation of energy;

P.E = K.E\\\\mgh = \frac{1}{2} mv^2\\\\h = \frac{v^2}{2g} \\\\h = \frac{0.8^2}{2\times 10} \\\\h = 0.032 \ m

The maximum displacement angle is calculated as follows;

cos \theta = \frac{L-h}{L} \\\\cos \theta = \frac{1.25 - 0.032}{1.25} \\\\\cos \theta = \frac{1.218}{1.25} \\\\cos \theta = 0.9744\\\\\theta = cos^{-1}(0.9744)\\\\\theta = 13\ ^0

Thus, the maximum displacement angle of the bob is 13⁰.

Learn more here:brainly.com/question/13981780

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A ballon is filled with air. what forces are acting on the ballon and the air?
joja [24]

Answer: Three forces act significantly on a freely floating helium-

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4 0
2 years ago
USE K U E S
nata0808 [166]

Explanation:

Problem 1.

Initial speed of the runner, u = 0

Acceleration of the runner, a=4.2\ m/s^2

Time taken, t = 100 s

Let v is the speed of the runner now. Using the first equation of kinematics as :

v=u+at

v=at

v=4.2\ m/s^2\times 100\ s

v = 420 m/s

Problem 2.

Initial speed of the plane, u = 0

Distance covered, d = 300 m

Time taken, t = 25 s

Using the equation of kinematics as :

d=ut+\dfrac{1}{2}at^2

d=\dfrac{1}{2}at^2

a=\dfrac{2d}{t^2}

a=\dfrac{2\times 300\ m}{(25\ s)^2}

a=0.96\ m/s^2

Problem 3.

A ball free falls from the top of the roof for 5 seconds. Let it will fall at a distance of d. It is given by :

d=ut+\dfrac{1}{2}gt^2

d=\dfrac{1}{2}\times 9.8\times (5)^2

d = 122.5 meters

Let v is the final speed at the end of 5 seconds. Again using first equation of kinematics as :

v=u+gt

v=9.8\ m/s^2\times 5\ s

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Hence, this is the required solution.

3 0
3 years ago
A refrigerator has a power of 90 w and is left on for 24 hours. A hair dryer has a power of 900 w an is on for 20 minutes. Which
Musya8 [376]

The refrigerator has consumed more energy

Explanation:

The relationship between power and energy consumed by a device is given by

E=Pt

where

E is the energy

P is the power

t is the time elapsed

For the refrigerator, we have

P = 90 W

t = 24 h \cdot 3600 = 86400 s

Therefore the energy consumed is

E=(90)(86400)=7.78\cdot 10^6 J

For the hair dryer, we have

P = 900 W

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Therefore the energy consumed is

E=(900)(1200)=1.08\cdot 10^6 J

Therefore, the refrigerator has consumed more energy.

Learn more about power:

brainly.com/question/7956557

#LearnwithBrainly

4 0
3 years ago
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