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Ket [755]
3 years ago
11

A 2.00-kg rock has a horizontal velocity of magnitude 12.0 m>s when it is at point P in Fig. E10.35. (a) At this instant, wha

t are the magnitude and direction of its angular momentum relative to point.(b) If the only force acting on the rock is its weight, what is the rate of change (magnitude and direction) of its angular momentum at this instant?
Physics
1 answer:
zaharov [31]3 years ago
7 0

Answer:

(A) L = 115.3kgm²/s

(B) dL/dt = 94.1kgm²/s²

Explanation:

The magnitude of the angular momentum of the rock is given by the foemula

L = mvrSinθ

We have been given θ = 36.9°, m = 2.0kg, v = 12.0m/s and r = 8.0m.

Therefore L = 2.00 × 12 × 8.0 × Sin 36.9° =

115.3 kgm²/s

(B) The magnitude of the rate of angular change in momentum is given by

dL /dt = d(mvrSinθ)/dt = mgrSinθ = 2.00 × 9.8 × 8.0× Sin36.9 = 94.1kgm²/s²

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jim halves the distance between himself and a sound source. What is the change of decibels of the sound he hears?
steposvetlana [31]

Answer:

6.02dB

Explanation:

The sound level intensity can be calculated by using the formula:

I(dB)=10log_{10}(\frac{I}{I_o})

where Io is the threshold of human hearing, and  I is the intensity of the sound in at a certain distance. I is given by

I=\frac{P}{4\pi r^2}

where P is the power of the source and r is the distance to the source. By replacing I in the expression for I(dB) we obtain

I(dB)=10log(\frac{P}{4\pi r^2I_o})=10log(\frac{P}{\pi r^2I_o})-10log(4)

when jim halves the distance we have r'=1/2r:

I'(dB)=10log(\frac{P}{4\pi (\frac{1}{2}r)^2I_o})=10log(\frac{P}{\pi r^2I_o})

Hence, the change o decibels is:

I'-I=10log(4)=6.02dB

hope this helps!!

4 0
3 years ago
Which set of characteristics best describes igneous rock?
Gnom [1K]

Some of the main minerals in igneous rocks are feldspar, quartz, olivine and mica. The size of the minerals depends on the depth of the magma that formed the rock. Deeper magma cools more slowly and forms larger crystals. Rocks that cool over a few months have microscopic mineral grains and are called extrusive. Rocks that cool over thousands of years have small to medium grains and are called intrusive. Rocks that cool over millions of years have large pebble sized grains and are called plutonic.

Granite and basalt make up the majority of igneous rocks. Basalt is dark and fine-grained with minerals rich in magnesium and iron. It is either extrusive or intrusive and is the primary rock on the ocean floor. Granite is light and coarse-grained and rich in feldspar and quartz. It is plutonic and less dense than basalt. Granite is found nearly everywhere beneath the continents.

The word "igneous" comes from the Latin word "fire" and is related to the melting process that forms these rocks.

Hope I helped! :)

7 0
3 years ago
a ball is dropped from rest at a height of 80 m above the ground. what is the speed just as it hits the ground?
Ghella [55]
Δx=Vi(t)+.5at²
Δx=80
a=9.8
Vi=0 since its from rest, the initial velocity is 0.
80=0+.5(9.8)t²
t=16.33
You can use one of the big five equations: Vf=Vi+at
Vf=0+9.8(16.33)
Vf=160.034 m/s
4 0
4 years ago
1. A friend measures the length of the school
shusha [124]

Answer:

option A

Explanation:

A soccer field is about 100 meters of length, with the other instruments is possible to make the measure, but it will be very complex and it will take time. Therefore with the 50-m tape, the student will need only two measures.

6 0
3 years ago
What did Thomson's and Rutherford's experiments have in common?
sdas [7]
<span>They both used charged particles in their experiments.</span>
4 0
3 years ago
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