Midterm 2, 2017-11-08 Phrysics I1A, Fall 2017 Write an equation that describes t

Question

Midterm 2, 2017-11-08 Phrysics I1A, Fall 2017 Write an equation that describes the velocity, V unknown ball velocity, v. , of the ball + pendulum system in terms of the 0 oCi rw d) Write an equation that describes the maximum height, h, in terms of the velocity, V, of the ball+ pendulum system. 2 We know that the mass of the pendulum is 9 times larger than the mass of the projectile. Derive a simplified expression relating the maximum height, h, to the velocity of the projectile, u. e) D If the pendulum travels to a height of 10cm, what was the velocity,, of the projectile?

Explanation / Answer

c)

M = mass of pendulum

m = mass of projectile ball

v = speed of ball before collision

V = speed of combination

using conservation of momentum

mv = (m + M) V

V = mv/(m + M)

d)

using conservation of energy

(M + m) g h = (0.5) (M + m) V2

g h = (0.5) (mv/(m + M))2

h = (mv/(m + M))2 /(2g)

e)

M = 9 m

so

h = (mv/(m + 9m))2 /(2g)

h = v2/(162g)

f)

h = 0.1 m

0.1 = v2/(162 (9.8))

v = 12.6 m/s

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

---