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If a solomon swims straight upward in the water fast enough to break through the surface at a speed, how high can it jump a bove water?

2006-10-03 17:41:20 · 5 answers · asked by Hamza 1 in Science & Mathematics Physics

5 answers

Assuming no friction, wind, etc, you'll find the answer by equation the salmon's kinetic energy 1/2 m v^2 to its potential energy when it reaches height h, V_pot = m g h.

Solve for h: h= sqrt( 1/2 v^2 / g).
Example: at a speed of 1 m/s the height will be 0.23 m.

2006-10-03 22:39:27 · answer #1 · answered by cordefr 7 · 0 0

The kinetic energy the salmon has as he breeches is equal to 1/2 times his mass multiplied by the square of his velocity

KE=1/2mv^2

Now, to be truthful, some of this energy will be dissipated by waves, wind and air friction, bu in the ideal case you have a certain calculable amount of KE at the moment of breech. The potential energy (PE) cannot, therefore, be any greater than than the calculated KE. For all practical purposed (discounting water wind, friction and such), PE could approximate KE, which we have said before was 1/2mv^2. Since PE = mass x height x acceleration, you can solve for height. h ~ KE/m/a or
h~1/2mv^2/m/9.81m/s^2 (9.81 m/s^2 is acceleration due to gravity on earth)

So now all you need to do is weigh your fish and find out how fast he's swimming or have on hand how much energy he had when he breeched so you can solve this.

2006-10-03 18:28:15 · answer #2 · answered by Anonymous · 0 0

to come across a answer to 2 unknowns, you desire 2 linearly self sustaining equations in those unknowns because you in worry-free words have one equation, this example won't be able to be uniquely solved. through the way, through linearly self sustaining, I advise 2 equations the position one won't be able to be expressed in words of the different. case in aspect both equations 3x + y = 180 and 6x + 2y = 360 at the prompt are not linearly self sustaining, in view that through dividing the 2d equation for the period of through 2, we arrive on the first equation. In different words, no more beneficial tips is gleaned. on the different hand, think we had 3x + y = 180......(a million) x - 2y = -10........(2) we received't convey both equation in words of the different, so that they are linearly self sustaining. What we may be able to do is to get rid of one variable to ascertain the different, replace interior the got here across cost of that variable into between the equations to ascertain the cost of the eliminated one. So, enable's get rid of y, say. to finish that, multiply each and every area of Eq(a million) through 2, giving 6x + 2y = 360.....(3) x - 2y = -10........(2) upload each and every area of each and every equation: 7x + 0y = 350.....(4) ie 7x = 350 Divide each and every area of Eq(4) through 7 x = 50 replace for x into Eq(2) say 50 - 2y = -10 Subtract 50 from each and every area -2y = -60 Divide each and every area through -2 y = 30 As a very last verify, positioned both values into the different equation (Eq(a million) the following) to make confident: 3*50 + 30 = one hundred fifty + 30 = 180 = RHS of Eq(a million) So the values are desirable. you should no longer have performed this with merely the only equation. an extra beneficial ingredient; once you've n unknowns you desire n linearly self sustaining equations to get to the bottom of for the n unknowns. this would change into quite complicated. even if, a approach stated as Gaussian eliminating enables.

2016-10-16 03:26:12 · answer #3 · answered by leinen 4 · 0 0

Use conservation of energy to convert kinetic energy into potential energy, which will give you the height.

2006-10-03 17:45:52 · answer #4 · answered by arbiter007 6 · 1 1

First try using your spell checker. Next, how fast is the fish moving and how much does it weigh.

2006-10-03 17:51:40 · answer #5 · answered by Lab 7 · 1 1

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