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ELEN [110]
3 years ago
6

A regulation soccer field for international play is a rectangle with a length between 100 m and a width between 64 m and 75 m. W

hat are the smallest and largest areas that the field could be?
Physics
2 answers:
tatyana61 [14]3 years ago
5 0

Answer:

The smallest and largest areas could be 6400 m and 7500 m, respectively.

Explanation:

The area of a rectangle is given by:

A = l*w

Where:

l: is the length = 100 m

w: is the width

We can calculate the smallest area with the lower value of the width.

A_{s} = 100 m*64 m = 6400 m^{2}                            

And the largest area is:

A_{l} = 100 m*75 m = 7500 m^{2}  

Therefore, the smallest and largest areas could be 6400 m and 7500 m, respectively.            

I hope it helps you!                        

Bezzdna [24]3 years ago
4 0

Answer:

the largest areas that the field could be is A_l=7587.75 m

the smallest areas that the field could be is A_s=6318.25 m

Explanation:

to the find the largest and the smallest area of the field measurement error is to be considered.

we have to find the greatest possible error, since the measurement was made nearest whole mile, the greatest possible error is half of 1 mile and that is 0.5m.

therefore to find the largest possible area we add the error in the mix of the formular for finding the perimeter with the largest width as shown below:

A_l= (L+0.5)(W+0.5)

(100+0.5)(75+0.5) = (100.5)(75.5) = 7587.75 m

To find the smallest length we will have to subtract instead of adding the error factor value of 0.5 as shown below:

A_s= (L-0.5)(W-0.5)

(100-0.5)(64-0.5) = (99.5)(63.5) = 6318.25 m

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Radio astronomers detect electromagnetic radiation at 44.0 MHz from an interstellar gas cloud. They suspect this radiation is em
Shtirlitz [24]

Answer:

The magnetic field strength is  B = 1.57*10^{-3} \ T

Explanation:

The objective of the solution is to obtain the magnetic field strength inside the gas cloud and in order to do so we would be employing the mathematical expression of magnetic field strength which is represented as

                    B = \frac{2 \pi f m}{q}

Where B is the magnetic field strength

           f is the frequency

           m is the mass

           q is the  charge

From the question

       f = 44.0MHz = 44.0*10^{6}Hz

Generally the mass of an electron which is the is particle

     m = 9.11*10^{-31}kg

And the charge q is generally

        q= 1.6*10^{-19} C

Note that this electromagnetic radiation with frequency 44.0MHz is a moving electron mass

   substituting these values into the equation for the magnetic field strength

                B = \frac{2 \pi (44*10^{6})(9.11*10^{-31})}{1.6*10^{-19}}  = 1.57*10^{-3} T

7 0
4 years ago
Suppose a baseball pitcher throws the ball to his catcher.
amm1812

a) Same

b) Same

c) Same

d) Throw the ball takes longer

e) F is larger when the ball is catched

Explanation:

a)

The change in speed of an object is given by:

\Delta v = |v-u|

where

u is the initial velocity of the object

v is the final velocity of the object

The change in speed is basically the magnitude of the change in velocity (because velocity is a vector, while speed is a scalar, so it has no direction).

In this problem:

- In situation 1 (pitcher throwing the ball), the initial velocity is

u = 0 (because the ball starts from rest)

while the final velocity is v, so the change in speed is

\Delta v=|v-0|=|v|

- In situation 2 (catcher receiving the ball), the initial velocity is now

u = v

while the final velocity is now zero (ball coming to rest), so the change in speed is

\Delta v =|0-v|=|-v|

Which means that the two situations have same change in speed.

b)

The change in momentum of an object is given by

\Delta p = m \Delta v

where

m is the mass of the object

\Delta v is the change in velocity

If we want to compare only the magnitude of the change in momentum of the object, then it is given by

|\Delta p|=m|\Delta v|

- In situation 1 (pitcher throwing the ball), the change in momentum is

\Delta p = m|\Delta v|=m|v|=mv

- In situation 2 (catcher receiving the ball), the change in momentum is

\Delta p = m\Delta v = m|-v|=mv

So, the magnitude of the change in momentum is the same (but the direction is opposite)

c)

The impulse exerted on an object is equal to the change in momentum of the object:

I=\Delta p

where

I is the impulse

\Delta p is the change in momentum

As we saw in part b), the change in momentum of the ball in the two situations is the same, therefore the impulse exerted on the ball will also be the same, in magnitude.

However, the direction will be opposite, as the change in momentum has opposite direction in the two situations.

d)

To compare the time of impact in the two situations, we have to look closer into them.

- When the ball is thrown, the hand "moves together" with the ball, from back to ahead in order to give it the necessary push. We can verify therefore that the time is longer in this case.

- When the ball is cacthed, the hand remains more or less "at rest", it  doesn't move much, so the collision lasts much less than the previous situation.

Therefore, we can say that the time of impact is longer when the ball is thrown, compared to when it is catched.

e)

The impulse exerted on an object can also be rewritten as the product between the force applied on the object and the time of impact:

I=F\Delta t

where

I is the impulse

F is the force applied

\Delta t is the time of impact

This can be rewritten as

F=\frac{I}{\Delta t}

In this problem, in the two situations,

- I (the impulse) is the same in both situations

- \Delta t when the ball is thrown is larger than when it is catched

Therefore, since F is inversely proportional to \Delta t, this means that the force is larger when the ball is catched.

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Laboratory experiments, observational field studies, and model-building are all examples of different forms of scientific invest
Ne4ueva [31]

Answer:

C

Explanation:

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A cheetah can run 113 km/h in short busts. How far can a cheetah run in 0.25 hours (15 minutes)?
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The cheetah can run 28,25 km
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All atoms of the same element must have the same number if protons, however the number of neutrons can vary, giving different isotopes of the element.

I'm not quite sure what you were looking for but I hope that this helps.
4 0
3 years ago
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