Question

What minimum speed does a 0.5 kg puck need to make it to the top of a frictionless ramp that is 9.8 m long and inclined at 30^o?

Group of answer choices

19.6 m/s

4.9 m/s

9.8 m/s

0.5 m/s

Answer 1

Apply energy conservation at lower point and higer point.at lower point ball only have kinetic energy due to speed v. When the ball reaches the higher point the ball velocity is zero but have potential.all initial kinetic energy transfer to potential energy.so we can equate together we get

1/2mv2 =mgh . /Where m=mass of puck=0.5kg . v=velocity of pucj at initial. g=acceleration due to gravity=9.8m/s2. h =height of top from earth surfase =9.8sin30

v​​​​​​2​​​​​=2gh

v= = 9.8m/s