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Help stuck on a higher physics question

relate the changes in gravitational potential energy to changes in kinetic energy.
How do i do that though


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Reply 3
Change in GPE=Change in KE
I don't understand


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Your picture is not showing and i don't understand most statements in physics could you give me a formula or something which i could use
image.jpg
(edited 7 years ago)


Set potential energy (mgh) equal to kinetic energy (1/2mv^2) and rearrange for v.


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ImageUploadedByStudent Room1473634420.299777.jpg
If you mean to do this is doesnt give the right answer


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Reply 8
Original post by Hollybollybee109
ImageUploadedByStudent Room1473634420.299777.jpg
If you mean to do this is doesnt give the right answer


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Also btw for future reference the masses cancel out so it should actually be v=sqrt2xgh
Reply 9
So i actually got one of my friends who do mechanics solve and they got 22. Something is that along the right line?
It gives the same wrong answer... I need help


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Reply 11
Original post by Hollybollybee109
It gives the same wrong answer... I need help


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Is the answer 22. Something?
For a the answer is 18.8 and for b the answer is 9.9


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This is what I got. Hope it's right and I didn't waste my time lol.


ImageUploadedByStudent Room1473636519.375359.jpg

Ignore it's wrong I didn't see that it started off at 12 m/s.


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(edited 7 years ago)
Reply 14
I dont understand why the answers are that image.jpg
My teacher gave me the answers so maybe she got it wrong, thank you for your help


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Reply 16
Original post by Hollybollybee109
My teacher gave me the answers so maybe she got it wrong, thank you for your help


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I think 22.3 is correct, both my friends who studied mechanics and I (who did a level physics) got the same results. Please do update me im really curious as how the answer is 18 x
Original post by Hollybollybee109
My teacher gave me the answers so maybe she got it wrong, thank you for your help


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Yeah I have no idea how to do it, sorry. I tried using momentum, energy equations and kinematics.


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--
(edited 7 years ago)
Original post by Hollybollybee109
For a the answer is 18.8 and for b the answer is 9.9


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I think I may know how your teacher arrives the "answer" of 18.8 m/s at Y.

I suggest that you attempt to understand the statements in physics instead of just the formula or equations to use.

Using conservation of energy and consider roller-coaster and Earth as the system.

PE at X + KE at X = PE at Y + KE at Y
mghX+12mvX2=mghY+12mvY2 mgh_X + \frac{1}{2}mv_X^2 = mgh_Y + \frac{1}{2}mv_Y^2 ---(1)

It can be simplified to

vY=2g(hXhY)+vX2 v_Y =\sqrt{ 2g(h_X - h_Y) + v_X^2} ---(2)

If equation (2) is used, the answer would 22.3 m/s as shown below:

calculation01.JPG

Your teacher's answer did not consider the speed at X. If the speed at X is zero, we would arrive 18.8 m/s for the speed at Y using equation (2) as shown below:
Attachment not found


But the question stated that the speed at X is 12 m/s, so your teacher answer is incorrect.

Similarly, we would arrive the speed at Z to be 9.9 m/s using equation (2) and consider the speed at X to be zero. Test it yourself.

It may be good that you inform your teacher privately.

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