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hoa [83]
3 years ago
13

You need to know the height of a tower, but darkness obscures the ceiling. You note that a pendulum extending from the ceiling a

lmost touches the floor and that its period is 15 s. The acceleration of gravity is 9.81 m/s2 .
How tall is the tower? Answer in units of m
Physics
1 answer:
Sonja [21]3 years ago
6 0

Answer:

L=55.9m

Explanation:

The equation for the period of a simple pendulum is:

T=2\pi\sqrt{\frac{L}{g}}

In our case what we know is the period and the acceleration of gravity, and we need to know the length of the pendulum, so we can write:

L=(\frac{T}{2\pi})^2g

Which for our values is:

L=(\frac{15s}{2\pi})^2(9.81m/s^2)=55.9m

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The latitude of any location on earth is the angle formed by the two rays drawn from the center of earth to the location and to
Alina [70]

The distance between city a and city b is 833.345 miles.

We know that

1°=60'

The distance of city a from the initial ray is  calculated as

x_a=3960*tan45.46°=4024.101 miles

The distance of city b from the initial ray is calculated as

x_b=3960*tan 38.86°=3190.75 miles

Now the distance between city a and b is equal to

4024.101-3190.75=833.345 miles

This is the vertical distance between the cities.

5 0
3 years ago
A woman holds a book by placing it between her hands such that she presses at right angles to the front and back covers. The boo
In-s [12.5K]

Answer:

Explanation:

In order to solve this problem we need to make a free body diagram of the book and the forces that interact on it. In the picture below you can see the free body diagram with these forces.

The person holding the book is compressing it with his hands, thus exerting a couple of forces of equal magnitude and opposite direction with value F.

Now the key to solving this problem is to analyze the equilibrium condition (Newton's third law) on the x & y axes.

To find the weight of the book we simply multiply the mass of the book by gravity.

W = m*g

W = 1.3[kg] * 9.81[m/s^2]

W = 12.75 [N]

7 0
3 years ago
What unit is used for speed?<br> 1. m/s<br> 2. S<br> 3. m/s2<br> 4. m
bixtya [17]

Answer:

The unit of speed is m/s.

7 0
3 years ago
After a collision between two different massed objects; the larger objects accelerate at a faster rate than the smaller object?
Nitella [24]

Answer: Things continue doing what they are doing unless a force is applied to it. Objects have a natural tendency to resist change. This is INERTIA. Heavier objects (objects with more mass) are more difficult to move and stop. Heavier objects (greater mass) resist change more than lighter objects, so true

Explanation:

Pushing a bicycle or a Cadillac, or stopping them once moving. The more massive the object (more inertia) the harder it is to start or stop. The Cadillac has more of a tendency to stay stationary (or continue moving), and resist a change in motion than a bicycle.

6 0
3 years ago
tourist travels 1500 miles using two planes. The second plane averages 50 miles per hour faster than the first plane. The touris
Genrish500 [490]

Answer

given,

tourist travels = 1500 miles

second plane averages 50 miles per hour faster than the first plane.

x = y + 50

The tourist uses the slower plane for the first 500 and the faster plane for the next 1000 miles.

total flying time = 6.5 hours

\dfrac{500}{y} + \dfrac{1000}{x} = 6.5

\dfrac{500}{y} + \dfrac{1000}{y + 50} = 6.5

\dfrac{500(50 + y)+ 1000 y}{y(y + 50)} = 6.5

25000 + 600 y = 6.5 y^2 + 325 y

6.5 y^2 - 275 y - 25000 = 0

on solving equation

y = 86.67 mile/hr

x = 86.67 + 50

x = 136.67 mile/hr

8 0
3 years ago
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