GCEPhysicsWork, Energy and Power2019

A body is released from rest at the top of a frictionless inclined plane of height 5 m. Taking g = 10 m/s², what is the speed of the body at the bottom of the incline?

A5 m/s
B10 m/sCORRECT
C25 m/s
D50 m/s
AI
Toaster Teacher
Why the answer is B, and why the others tempt you.
By conservation of energy, all potential energy converts to kinetic energy at the bottom: mgh = ½mv², so v = √(2gh) = √(2 × 10 × 5) = √100 = 10 m/s. Option A results from using v = √(gh) (forgetting the factor of 2), option C from using v = 2gh/2 without the square root, and option D from using v = 2gh.
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