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Luda [366]
3 years ago
14

How to solve arctan[tan(7pi /4)] ...?

Physics
1 answer:
Svet_ta [14]3 years ago
7 0
Well, 
arctan is a bijection from R into (-pi/2 , pi/2)*and 
pi is a period of tangent function: 
so 
as we have : tan(7pi/4) = tan(pi - pi/4) = - tan(pi/4) 
we finally get : 

<span>arctan(tan(7pi/4)) = artan(tan(- pi/4)) = - pi/4 
</span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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a spring gun initially compressed 2cm fires a 0.01kg dart straight up into the air. if the dart reaches a height it 5.5m determi
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Answer:

2697.75N/m

Explanation:

Step one

This problem bothers on energy stored in a spring.

Step two

Given data

Compression x= 2cm

To meter = 2/100= 0.02m

Mass m= 0.01kg

Height h= 5.5m

K=?

Let us assume g= 9.81m/s²

Step three

According to the principle of conservation of energy

We know that the the energy stored in a spring is

E= 1/2kx²

1/2kx²= mgh

Making k subject of formula we have

kx²= 2mgh

k= 2mgh/x²

k= (2*0.01*9.81*5.5)/0.02²

k= 1.0791/0.0004

k= 2697.75N/m

Hence the spring constant k is 2697.75N/m

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The new roller coaster at Carowinds flies along at 80 m/s. How long does it take to
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A train rolls past a stationary observer. To him, the train is moving at a speed of 23m/s west, and a woman on the train is movi
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Answer:

21.7 seconds.

Explanation:

Woman's velocity relative to train (23 m/s - 22.4 m/s) = 0.6 m/s

Distance woman wants to travel = 13m

To find how long she will take to move 13m relative to the train, take the distance she wants to travel divided by her velocity relative to the train.

(13m)/(0.6 m/s) = 21.6667 seconds or 21.7 seconds.  

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3 years ago
A bowling ball has an initial momentum of +30 kg m/s and hits a stationary bowling pin. After the collision, the bowling ball le
mr Goodwill [35]

Answer:

+17 kg m/s

Explanation:

Question is missing. Found it on google:

"<em>What is the magnitude of the final momentum of the bowling pin if it has a mass of 1.5 kg</em>?"

Solution:

we can solve this problem by using the law of conservation of momentum. In fact, the total momentum of the system must be conserved, so we can write:

p_i = p_f\\p_b+p_p=p_b'+p_p'

where

p_b = +30 kg m/s is the momentum of the ball before the collision

p_p = 0 is the momentum of the pin before the collision (zero because the pin is stationary)

p_b' = +13 kg m/s is the momentum of the ball after the collision

p_p' is the momentum of the pin after the collision

Solving the equation for p_p', we find:

p_p' = p_b + p_p - p_b' = +30 +0 -(+13)=+17 kg m/s

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3 years ago
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