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The velocity of the object at the bottom of the ramp:

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Text solutionVerified

Show the schematic diagram of the ramp inclined at an angle of 40° from the horizontal as in Figure (1).

Assume that there is no friction between the mass and the ramp, and air resistance is negligible.

Express the velocity of the object at the bottom of the ramp.

ΔKE+ΔPE=012m(V22−V12)+mg(z2−z1)=012(V22−V12)+g(z2−z1)=0 (I)

Here, change in gravitational kinetic energy is ΔKE, change in gravitational potential energy is ΔPE, mass of object is m, acceleration due to gravity is g, initial height is z1, final height is z2, velocity at the top is V1 and velocity at the bottom is V2.

As the initial or velocity at the top is negligible, take it as 0.

Substitute 0 for V1 in Equation (I)

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