An object slides without friction down an incline and loses a height h = 51.0 m.The incline makes an angle of 35.0 $\circ$ with respect to the horizontal.If the object's final speed was 45.0 m/s,what was its initial speed in m/s?

Question

Quizplus · Accepted Answer

The initial speed can be found using energy conservation: potential energy lost equals kinetic energy gained. The potential energy lost is mgh, and the kinetic energy gained is 0.5*m*(v_f^2 - v_i^2). Solving for v_i gives v_i = sqrt(v_f^2 - 2gh). Substituting the given values, v_i = sqrt(45^2 - 2*9.8*51) = 32.0 m/s.

An Object Slides Without Friction Down an Incline and Loses ∘\circ∘

An Object Slides Without Friction Down an Incline and Loses $\circ$