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2 years ago

A simple pendulum of length 2.5 m makes 5.0 complete swings in 16 s. What is the acceleration of gravity at the location?

Physics

1 answer:

Norma-Jean [14]2 years ago

8 0

<h2>The acceleration of gravity at the location is 9.64 m/s²</h2>

Explanation:

Length of pendulum = 2.5 m

Time taken for 5 swings = 16 seconds

Time taken for 1 swing = 3.2 seconds

Period of pendulum = 3.2 seconds.

We have equation for period of simple pendulum as

$T=2\pi \sqrt{\frac{l}{g}}$

Where l is the length of pendulum and g is acceleration due to gravity.

Substituting

$T=2\pi \sqrt{\frac{l}{g}}\\\\3.2=2\pi \sqrt{\frac{2.5}{g}}\\\\g=\frac{4\pi^2 \times 2.5}{3.2^2}\\\\g=9.64m/s^2$

The acceleration of gravity at the location is 9.64 m/s²

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3 years ago

6. A golf ball is hit a distance of 300 yards in 10 sec. What is the speed of the golf ballo

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The speed of the ball is 27.4 m/s

Explanation:

The speed of an object is given by:

$speed=\frac{d}{t}$

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d is the distance covered

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d = 300 yards is the distance covered by the golf ball

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Keeping in mind that

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We can convert the distance from yards to meters:

$d = 300 \cdot 0.914 = 274.2 m$

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$speed=\frac{274.2}{10}=27.4 m/s$

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2 years ago

A 15.0 cm object is 12.0 cm from a convex mirror that has a focal length of -6.0 cm. What is the height of the image produced by

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Answer: D. 5cm

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Given the following :

Focal length (f) = - 6.0 cm

Height of object = 15.0cm

Distance of object from mirror (u) = 12.0cm

Height of image produced by the mirror =?

Firstly, we calculate the distance of the image from the mirror.

Using the mirror formula

1/f = 1/u + 1/v

1/v = 1/f - 1/u

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1/v = (- 2 - 1) / 12

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3 years ago