In the figure here, a small, solid, uniform ball is to be shot from point P so t
ID: 2005972 • Letter: I
Question
In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls smoothly along a horizontal path, up along a ramp, and onto a plateau. Then it leaves the plateau horizontally to land on a game board, at a horizontal distance d from the right edge of the plateau. The vertical heights are h1 = 3.0 cm and h2 = 1.20 cm. With what speed must the ball be shot at point P for it to land at d = 3.0 cm?
In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls smoothly along a horizontal path, up along a ramp, and onto a plateau. Then it leaves the plateau horizontally to land on a game board, at a horizontal distance d from the right edge of the plateau. The vertical heights are h1 = 3.0 cm and h2 = 1.20 cm. With what speed must the ball be shot at point P for it to land at d = 3.0 cm?Explanation / Answer
The time for the ball to fall from h2 is h2 = 1/2*g*t^2 or t = sqrt(2*h2/g) = sqrt(2*0.0180/9.80) = 6.06x10^-2s So the velocity at the top of the plateau is v = d/t = 0.075/6.06x10^-2 = 1.24m/s Now use conservation of energy to find vP Let U (potential energy) at P = 0 So Kp = Ktop + Utop 1/2*m*vP^2 = 1/2*m*vTop^2 +m*g*h1 so vP = sqrt(vTop^2 + 2*g*h1) = sqrt(1.24^2 + 2*9.8*0.055) = 1.62m/s
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.