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bulgar [2K]
3 years ago
5

A ball on a string moves around a complete circle, once a second, on a frictionless, horizontal table. The tension in the string

is measured to be 6.0N . What would the tension be if the ball went around in only half a second?
Mathematics
1 answer:
ki77a [65]3 years ago
5 0
The tension in the string balances out, and thus equals the centripetal force of the ball 

T = mv^2/r 
<span>
if it only takes half the time to finish one orbit it has to be moving at twice the original speed. </span>
<span>
And since v is squared T will increase by 4 </span>
<span>
T' = m(2v)^2/r </span>
<span>
T' = 4mv^/r = 4T </span>
<span>
T' = 24.0 N

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
</span>
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Simplify expression X^2+x-2/x^3-x^2+2x-2
professor190 [17]

Answer:


=\frac {x+2}{x^2+2} is the simplest form of given expression.


Step-by-step explanation:

The given question is \frac{x^2+x-2}{x^3-x^2+2x-2}


To solve the problem we have to group or split middle term and then factorise


\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}


Taking x^2 common from first two terms of denominator and 2 from next two terms


= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}


Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms


= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}



=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}


Now cancel out x-1 from both numerator and denominator we get


=\frac {x+2}{x^2+2} is the required simplest form.



7 0
3 years ago
Two friends work at different companies, P and S. Both companies use the number of hours that an employee works to calculate tha
tia_tia [17]

Answer:

62.4 hours

Step-by-step explanation:

For P:

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Number of hours on 2080 hours of working=2080/100*7

=145.6 hours

The difference between the vacation hours of P and S is of 62.4 hours. S will get more hours of vacation.  

6 0
3 years ago
During it's first 50 days of growth a sunflower grows about 4 cm a day. Using this rate how many days will it take for the sunfl
Alex787 [66]
The answer is 15 days because
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4 0
3 years ago
Kate is saving to take an SAT prep course that costs $250, so far , she has saved $150, and she adds $10to her savings each week
matrenka [14]

Answer:

It will be ten weeks

Step-by-step explanation:

First you would need  to find out what is 250 - 150 = 100 So they will need 100 dollars 100 divided by 10 is 10 so that will be 10 weeks

7 0
3 years ago
What are two other names for Xy
NARA [144]

Answer:

In Mathematics, x and y are examples of variables.

You can use any letter as a variable but, make sure to include a let statement when using variables.

A let statement essentially tells what the variable represents.

Ex: let h = houses sold

Hope this helps!

Step-by-step explanation:

3 0
3 years ago
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