Question

A bartender slides a beer mug at 1.3 m/s towards a customer at the end of a frictionless bar that is 1.3 m tall. The customer makes a grab for the mug and misses, and the mug sails off the end of the bar. (a) How far away from the end of the bar does the mug hit the floor

Answer 1

x = 0.67 m

Step-by-step explanation:

For this problem, let's use the projectile launch equations, as the jug goes through the bar, it comes out with horizontal speed vx = 1.3 m / s, which does not decrease as there is no friction.

Let's find the time or it takes to get to the floor

y = y₀ + v_{oy} - ½ g t²

in this case I go = 0 and when I get to the floor y = 0

0 = y₀ + 0 - ½ g t²

t² = 2y₀ / g

t² = 2 1.3 / 9.8 = 0.2653

t = 0.515 s

now let's find the distance traveled in this time

x = vx t

x = 1.3 0.515

x = 0.6696 m

x = 0.67 m