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A 77.0 kg woman slides down a 42.6 m long waterslide inclined at 42.3. At the bottom, she is moving 20.3 m/s. How much work did the friction do on the woman?

\(h=42.6m\times sin42.3°\)

\(W_h = m \times g\times h =77kg\times\frac{9.81m}{s^2}\times42.6m\times sin42.3°\)

\(W_h= 21.656\ kNm\)

\(W_v= \frac{mv^2}{2}=\frac{77kg\times 20.3^2m^2}{2\times s^2}\)

\(W_v=15.865\ kNm\)

\(W_f=W_h-W_v=(21.656-15.865)kNm\)

\(W_f=5.791\ kNm\)

\(This \ is \ the \ friction \ work.\)

   !

Your answer is 11/10. 

Full simplification process: 792/720 / 4 = 198/180

198/180 / 4 = 33/30 = 11/10.

Potential energy at the top of the slide (mgh) is converted to kinetic enegy at the bottom of the slide (1/2mv^2) ....the difference is the energy lost to friction

mgh = 77(9.81)(42.6 sin42.3)            = 21656.71 j

1/2mv^2 = 1/2(77)(20.3^2)                = 15865.47 j

                                                             ________

DIFFERENCE LOST TO FRICTION = 5791.25 j

what is 4/3 times 3.14 times 16 to the third power

Volume of a ball

\(\large\frac{4}{3}\times \pi \times 16^3=17157.2846788\)

  !

you are squaring a negative number.

Is  '1 and a half ton'   =  1001 lbs   or   3000 lbs?    Wording is unclear......

bye this thread is closed!

For compunding QUARTERLY the QUARTERLY (periodic) interest rate would be 17%/4 = 4.25%   (i= .0425)

then    FV = PV (1+i)^n       we want to double PV    ...or  FV = 2

             2 = (1+.0425)^n

           LOG (2) = n LOG (1.0425)

              n= 16.653    PERIODS        Period is 3 months       16.653 x 3 =49.96 months = 4.16 years

For CONTINUOS COMPOUNDING      FV = PV e^(rt)          r= .17  

                                                                 2 = e^(.17 t)

                                                               ln(2) = .17t

                                                                 t= 4.07    years        (it would double about 1 month earlier than the first example)

5x^5 - 80x = 0

5x(x^4-16) = 0      for this to be true,

either    5x= 0        which means  x= 0

or  x^4 - 16 = 0       which means  x^4 = 16    or  x = +- 2           x = 0,2, -2

5/8 tons of sand is the answer

At   1.92 for 4 apples   each apple costs   1.92/4 = 48 cents

At   4.20 for 10 apples  each apple costs  4.20/10 = 42 cents each

Apples are cheaper if you buy them  10 at a time    .....

You want the line equation   y= mx + b    where m= slope (3/5)

y=3/5 x  + b    to find 'b' , substitute the point you are given (4,-6) to find the value of 'b'

-6 = 3/5 (4) + b

-6 =12/5 +b

-8 2/5 = b

so your equation is    y = 3/5 x -  8 2/5

Better to buy by 4s

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