What minimum speed does a 170 gg puck need to make it to the top of a frictionless ramp that is 3.6 mm long and inclined at 27 ∘∘?

0.176 m/s

Explanation:

given,

mass of the puck, m = 170 g

Length of the ramp, L = 3.6 mm

angle  of inclination, θ = 26°

the minimum speed require to reach at the top of the ramp

using equation of motion

v² = u² + 2 a s

final speed of the puck is zero

0² = u² - 2 g s

height of the pluck

h = 1.58 mm

h = 0.00158 m

now,

  u = 0.176 m/s

hence, the speed required by the pluck to reach at the top is equal to  0.176 m/s