You are at the state fair with your friends. While walking through the Midway, y

Question

You are at the state fair with your friends. While walking through the Midway, you see a game where the prize is a big stuffed Scottie dog. This game uses a big glass puck that gets slid up a glass ramp and that needs to go through a hole. The puck has a radius of about 7 cm, and it looks like the hole has a radius of only 8 cm - so your aim has to be very good. The ramp has an angle of 10, and it is 3.5 meters between where you push the puck and the hole. The puck is pretty heavy, at 1.9 kg, but you manage to give it an initial speed of 8.6 m/s. Do you get to take home the Scottie dog?

Explanation / Answer

mass of puck is m = 1.9 kg,

radius of puck is 7 cm, hole radius is r = 8 cm

angle of inclination is theta = 10 degrees

ramp distance is 3.5 m

initial velocity given to the puck is 8.6 m

let there is no friction

as the puck moves up the gravitational force acts in the downward direction

that is the horizontal component of the gravitational force  

Fg = mg cos theta

using equations of motions when the puck reaches the hole its velocity become zero

v^2 - u^2 = 2as

u = sqrt(2*mg cos theta)*s)

u = sqrt(2*1.9*9.8cos10*3.5) m/s

u = 11.33 m/s

so the puck should move with 11.33 m/s to reach the hole

means you may not get to take home the scottie home

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.