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OleMash [197]
3 years ago
12

A performer in a circus is fired from a cannon as a ``human cannonball'' and leaves the cannon with a speed of 16.4 m/s. The per

former's mass is 82.6 kg. The cannon barrel is 9.29 m long. Find the average net force exerted on the performer while he is being accelerated inside the cannon.
Mathematics
1 answer:
ladessa [460]3 years ago
3 0

Answer:

1195.22N.

Step-by-step explanation:

Mass: m =82.6 kg

Velocity: v= 16.4m/sec.

Distance: d = 9.29 metres.

Acceleration = (v²/2d) = (16.4²/18.58) = 14.47m/sec².

Force = (mass x acceleration) = (82.6 x 14.47) = 1195.22N.

You might be interested in
The vertex angle of an isosceles triangle is 20° less than the sum of the base angles. Which system of equations can be used to
WINSTONCH [101]

The answer to the above question can be explained as under -

We know that, the sum of angles of triangle is 180°.

So, vertex angle plus base angles are equal are equal to 180°.

Let the vertex angle be represented by "v" and base angles be represented by "b".

Thus,  v + b + b = 180°

So,  v + 2b = 180°

Next, the question says, the vertex angle is 20° less than the sum of base angles.

Thus, 2b - 20° = v

<u>Thus, we can conclude that the correct option is A) v + 2b = 180°, 2b - 20° = v</u>

6 0
3 years ago
You are downsizing. Your new residence will have much less closet space than does your current home. You have 12 pair of long pa
harkovskaia [24]

Answer:

a) there are 7,854,000 number of ways the random selections can be arranged

b) the required probability is 0.0445

Step-by-step explanation:

Given that;

you have 12 pair of long pants, 6 pair of short pant and 17 t-shirt which in total;

Total = 12 + 6 + 17 = 35

a) number of ways a random selection of 9 pair of long pants, 4 pair of short pants and 13 t-shirts can be arranged;

⇒ [ 12   ×    [ 6     ×    [ 17

     9 ]          4 ]           13 ]

= (12! / (9! 3!)) (6! / (4! 2!)) (17! / (13! 4!))

= (220) (15) (2380)

= 7,854,000

Therefore there are 7,854,000 number of ways the random selections can be arranged

b)

Number of ways of selecting 25 item from 35 items;

⇒ [ 35        

    25 ]

=

(35! / (25! 10!) = 183.579,396

now number of ways to select 10 pair of long pants, 3 pairs of short pantts and 12 t-shirt;

⇒ [ 12   ×    [ 6     ×    [ 17

     10 ]         3 ]           12 ]

= (12! / (10! 2!)) (6! / (3! 3!)) (17! / (12! 5!))

= (66) (20) (6188)

= 8,168,160

So, Required probability = 8,168,160 / 183,579,396

= 0.0445

So the required probability is 0.0445

5 0
3 years ago
HELP!
Contact [7]

This is about changing subject of formula.

<u><em>1) Option D</em></u>

<u><em>2) Option B</em></u>

<u><em>3) Option C</em></u>

<u><em>4) Option C</em></u>

<u><em>5) Option B</em></u>

  • 1) \frac{2}{3}x = 10

To solve for x, we need to first multiply both sides by the inverse of the coefficient of x since it is a fraction.

This means we multiply both sides by \frac{3}{2}.

Option D is correct

  • 2) We are given the equation;

d = 27.2 - 9.8t

where;

d represents the number of miles she is from home

t represents the number of hours she rides

We are told that she is now 27.2 miles from home.

Since she rides at an average of 9.8 mph, then formula for time is;

t = distance/speed = 27.2/9.8

t = 2.7755

To the nearest hundredth gives;

t = 2.78 hours

Option B is correct

  • 3)  S = 145t + 85.

t represents months you have saved

This means that the coefficient of t is the amount you saved monthly = $145

And 85 is the amount you started with.

Option C is correct

  • 4) From question 3 above, S represents the total amount saved after t months.

Thus, if you have saved  $810 after t months, then;

145t + 85 = 810

145t = 810 - 85

145t = 725

t = 725/145

t = 5 months

Option C is correct

  • 5) first shirt costs $35 and subsequent ones cost $11.

If the number you can buy is x and max amount to spend is $250, then;

35 + 11x \leq 250

11x \leq 250 - 35

11x \leq 215

x \leq 215/11

x \leq 19.55

There is no decimal shirt and so we pick 19 shirts which is option B

Read more here; brainly.com/question/24657829

3 0
3 years ago
Plzz Help ASAP!! i posted the picture?
Andre45 [30]

Hi!


So the original formula for a problem likes this or a quadratic is:


ax^2 + bx+ c


so a is the accelaration; b is the initial velocity; and c is the initial height


so none of those are the zeros, which means c is out


zeros are the x values when y is 0, that also means when the parabola crosses the x axis


so d is out too because the maximum height is the vertex which mean that there would probably be a y value. in some cases the vertex is the zero, but not here


B is out because x isn't time it is distance

your answer is A!


Hope this helps!

8 0
3 years ago
Read 2 more answers
(0, -9) and (-3, -3)<br> I need this problem solved with work please!
nirvana33 [79]

Answer:

-9-(-3)/0-(-3) = -3/3 = -1

y+9= -1(x-0) <u><em>Point Slope form</em></u>

y+9<u>-9</u>= -1x<u>-9</u>

y= -x-9 <em><u>Slope Intercept form</u></em>

y<u>+x+9</u> = -x-9 <u>+x+9</u>

y+x+9= 0 <u><em>General form</em></u>

4 0
3 years ago
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