Question

I know this is physics but no one ever answers over there so if anyone could explain to me how to do this I'd appreciate it.

Answer 1

The following diagram represents a cart with an initial velocity of 1.0 m/s sliding along a frictionless track from point A.


Will the cart reach letter E?

Answer 2

Conservation of energy

Answer 3

Identify where the cart has potential and where it has kinetic energy and relate to your formulas for each
Potential Energy:
\[PE = (mass)(gravity)(height)\]
Kinetic Energy
\[KE = \frac{ 1 }{ 2 }(mass)(velocity)^2\]

Answer 4

It has potential energy at A, C & E right? and KE at B & D ? @Johnbc

Answer 5

It has does not have potential energy at C as some of the potential energy from A was converted to B and then all the potential energy was converted to kinetic at C

Answer 6

no wait, it's the opposite.

Answer 7

oh ok.

Answer 8

No you were right the first time just that C was not potential and that B and D have both potential and kinetic energy

Answer 9

omg marry me! :DD

Answer 10

ok, but I still don't get how I can figure out if it'll reach E

Answer 11

By the definition of energy alone you know that energy can not be created nor destroyed so the energy at the top of A must be equal to the energy at the bottom at C and for the cart to be able to reach E the energy at C must be equal to the energy at E

Answer 12

You are given the variables
Mass = 2.0 kg
Velocity = 1.0 m/s
Height from A to C = 2.5 m
Height from C to E = 3.0 m

Answer 13

nope the cart won't reach point E. Bye

Answer 14

So it'd be no because it'd require more energy and you can't create energy right? lol

Answer 15

Correct!!
By looking at both heights and knowing energy can not be created you can easily determine if it will reach E or not

Answer 16

thankkk youuu!! :)

Answer 17

and thanks @sourwing too i guess lol

Answer 18

My pleasure