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Contact [7]
3 years ago
8

A baseball diamond is a square (don’t be fooled that it is usually shown rotated by 45°). Each side of the square is 90 feet lon

g (to two significant figures). How far must a fielder throw the ball from second base to home plate?
Physics
1 answer:
gayaneshka [121]3 years ago
8 0

A line from second to home creates a right triangle with 45 degree angles.

This makes the diagonal line the side length of the square multiplied by the sqrt(2)

Second to home = 90sqrt(2) = 127.279 feet ( round answer as needed)

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Question 2 of 10
Anastaziya [24]

Answer:

B

Explanation:

The question does not specify any outside forces that could slow down the ball horizontally. There fore the ball does not accelerate or decelerate horizontally. Therefore,  a = 0m/s2

5 0
3 years ago
A hula hoop is rolling along the ground with a translational speed of 26 ft/s. It rolls up a hill that is 16 ft high. Determine
nikklg [1K]

Answer:12.8 ft/s

Explanation:

Given

Speed of hoop v=26\ ft/s

height of top h=16\ ft

Initial energy at bottom is

E_b=\frac{1}{2}mv^2+\frac{1}{2}I\omega ^2

Where m=mass of hoop

I=moment of inertia of hoop

\omega=angular velocity

for pure rolling v=\omega R

I=mR^2

E_b=\frac{1}{2}mv^2+\frac{1}{2}mR^2\times (\frac{v}{R})^2

E_b=mv^2=m(26)^2=676m

Energy required to reach at top

E_T=mgh=m\times 32.2\times 16

E_T=512.2m

Thus 512.2 m is converted energy is spent to raise the potential energy of hoop and remaining is in the form of kinetic and rotational energy

\Delta E=676m-512.2m=163.8m

Therefore

163.8 m=mv^2

v=\sqrt{163.8}

v=12.798\approx 12.8\ ft/s

7 0
3 years ago
How can you tell which substances are creating the light of the sun or a lightbulb?
Westkost [7]
Through spectroscopy.  Each atom in a gas absorbs and emits light at very specific and unique frequencies.  Heating up a gas causes it to glow at these frequencies. If you put the light from a mercury lamp, for example, through a prism there will not be a rainbow.  There will only be specific bands of light at certain colors.  
On the other hand, white light comes from the sun.  The inner part of the sun creates white light as it isn't just a gas state (this specific choosing of frequencies is a gaseous phenomenon) but the atmosphere of the sun is a gas.  So when the white light passes through it, it absorbs specific frequencies specific to the elements in the gas.  These get scattered (released at random directions) and so many of them don't reach our telescopes.  So in a rainbow from stars (including the sun) have dark bands at specific frequencies.  You need equipment to focus and see the spectrum closely to notice this.  But the missing frequencies are the EXACT frequencies that the gas of the sun's atmosphere would release if heated in a lamp.  
So based on what light is emitted (in gas bulbs) or missing from a spectrum (from stars) we can tell what elements are present there.
4 0
3 years ago
A 10 m long glider with a mass of 680 kg (including the passengers) is gliding horizontally through the air at 30 m/s when a 68
timama [110]

Answer:

 v = 30.39 m/s

Explanation:

given,

mass of glider,M = 680 Kg

mass of the skydiver, m = 68 Kg

horizontal velocity,V = 30 m/s

when skydiver releases, velocity,v = 30 m/s

velocity if the glider,v' =  ?

use the conservation of momentum

M V = m' v' +  m v

m' = 680-68 = 612 Kg

680 x 30 = 612 x v + 60 x 30

612 v = 18600

 v = 30.39 m/s

since the skydiver's speed will be the same as before release

The glider should continue to travel at 30.39 m/s since there are no external forces acting on it

5 0
3 years ago
Define total mechanical energy
zavuch27 [327]

Answer:

The total mechanical energy is the sum of kinetic and potential energies: E = K + U. The law of conservation of total mechanical energy states that the sum of the kinetic energy and potential energy is constant in time.

3 0
3 years ago
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