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Question 71 (2 points) How fast must a 100 kg person move in order to have the same kinetic energy as a 3000 kg elephant charging at 10 m/sec? (Outcome 5,9)1) 10 m/...

Question

Question 71 (2 points) How fast must a 100 kg person move in order to have the same kinetic energy as a 3000 kg elephant charging at 10 m/sec? (Outcome 5,9)1) 10 m/sec2) 300 m/sec3) 54.77 m/sec4) 17.32 m/sec

Question 71 (2 points) How fast must a 100 kg person move in order to have the same kinetic energy as a 3000 kg elephant charging at 10 m/sec? (Outcome 5,9) 1) 10 m/sec 2) 300 m/sec 3) 54.77 m/sec 4) 17.32 m/sec



Answers

(a) How fast must a 3000-kg elephant move to have the same kinetic energy as a 65.0-kg sprinter running at 10.0 m/s? (b) Discuss how the larger energies needed for the movement of larger animals would relate to metabolic rates.

Sold. Guided energy is half time smarts. Times squared off speed. So we substituted values for months that is given to be one Katie speed or velocity is given to be three meters per second. On calculating this, we find the kind of energy to be 4.5 jewels. Thank you.

In the first case, we are asked to find out the kinetic energy of the person. The kinetic energy is equal to uh M B square. Let's put the values it will we have the mass is given a 62 KK. Well, we lost your the students given us one m. So Harper Solving, we get the kinetic energy of the person is equal to 31 jule 31 july. Now in part B, we are asked to find the kinetic and as an athlete. So let us first find the velocity or the spirit of the athlete. This is equal to distance travel by time taken by athletes. So substitute the values. Subsequute the values for the distance table is equal to 1609 0.3 meter divided by the time taken is 240 seconds. It will be equals two. It will be equals two. 6.705. We talk for a second. And the kinetic energy, we can easily calculate this will be close to uh MB square the masses given a 62. And the velocity we have founded. 6.705 square. It will give us a value of 1.394 multiplied with turned to the car. Oh these will. This is the This is the kinetic energy in 2nd case. About 1 3rd case you have been asked to find the kinetic energy of cheetah But it will be equals two up MB square part Akita. It will be called to have a mass of data is given a 70 to 32 K. C. And the SPD has given us 32 m per second. It will give us a value of 3.69 Multiplayer with 10 to the power or do so. This is kinetic energy. The ability to now in part D party, the kinetic energy of the rockhopper is required so it is equal to half MB square, so it is how mass of the frog over is 1.23 month private. 10 to the power of minus five kg. And the dispute is given as 2.8 metre president. After solving, we will get it as 4.82 multiple. We tend to the part of minus five june. This is kinetic energy of the

That the kinetic energy is equaling 1/2 times the mass times the velocity squared. And so this would be equal to 1/2 the mass of the car. Ah, we know to be 500 kilograms and then the speed of the car we know to be 10 meters per second quantity squared. And so this is giving us the kinetic energy equaling, um, 1/2 times the other 10 squared 100 times. 1/2 that's 50 and then 50 times 500 would be 25,000. So 25,000 jewels. This would be our kinetic energy of our car again. 1/2 M v squared were simply plugging in our known values. That is the end of the solution. Thank you. For what?

In this scenario the kinetic energy of a moving object various directly with the mass and the square, the velocity. So you have an equation here. K is equal. It's okay. Uh, actually use times. See? So Connecticut agree K is equal to mass times velocity squared times the constant C. We're trying to find that constant see value by using information that's an object weighing 40 kilograms, 40 kilograms and going out of velocity of 15 meters per second has kinetic energy of 1000 jewels. So here we can find the value of C 1000 divided by 40 times 15 square and 15 squared is, uh, became use a calculator 15 times 15 is 225 is equal to see. Okay, so 1000 divided by 40 uh, times 225 gives us see is approximately equal to 0.11 What one and eso onto repeating decimal. We can rewrite this as K is equal to, and we're gonna in the problems asking for the kinetic energy. The velocities increase to 20 meters per second, so 20 square the mass stays the same at 40 and constant is the same as your appoint 1111 So for the total kinetic energy, we're gonna multiply 0.11 by 40 times 400 which is the square of 20 we get K is equal to kinetic energy is equal to 1777.7778 cures.


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