Identical marbles are released from the same height on each of the following four frictionless ramps . compare the speed of the marbles at the end of each ramp. explain your reasoning

Since there is no friction on the ramp so there is no loss of energy in terms of frictional loss

So here we can use mechanical energy conservation law in this case

so here we will have

here we know that

also we know that

now we will have

now by solving above equation we have

so here as we know all identical balls are released from same height so all balls must have same speed at the end

the one with the highest speed

not moving. pos accel,