In a local bar, a customer slides an empty beer mug down the counter for a refil

Question

In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is h. The mug slides off the counter and strikes the floor at distance d from the base of the counter. (a) With what velocity did the mug leave the counter? (Use any variable or symbol stated above along with the following as necessary: g.) V_x_1 = (b) What was the direction of the mug's velocity just before it hit the floor? (Use any variable or symbol stated above as necessary.) theta = below the horizontal

Explanation / Answer

(A) it leaves the table horizontally,

hence initial vertical velocity, v0y = 0

Applying d = v0 t + a t^2 / 2

- h = 0 -g t^2 /2

t = sqrt(2h/g)

IN horizontal there is no acceleration hence

d = vx t

vx = d / t = d sqrt(g/ 2h)

(b) vfx = vx = d sqrt(g / 2h)

vfy = - gt = - g sqrt(2h/g) = sqrt(2 h g )

tan(theta) = sqrt(2 h g) / (d sqrt(g / 2h)) = sqrt(2 h g 2 h / g ) / d

= 2 h / d

theta = tan^-1 [ 2 h / d] ......Ans

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

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