A ballistic pond ilurn is il denco that waa used tn the nsure thi,ends , uf bull

Question

A ballistic pond ilurn is il denco that waa used tn the nsure thi,ends , uf bullets brtuie, icctronu timing devices came along. It cousists of a lirge block of wood, whose m M is 5.4 kE BAHE from two long pairs of cords, Am-9. bullet is fired into the block, coming quickly to e Nock + bullet then swing the pendulum comes momentarily to rest at the end of its arc sest The upward, their center of mass rising a vertical distance of h 6.3 cm (a) What quantity is conserved befoee the swinging of the pendhulum? (1 pointa) (b) What quantity is conserved after the collision (when swinging, upward)? (1 pointa) (e) Write down the momentum conservation equation for this problem? ( points) (d) Write down the energy conservation equation. (1 points) (e) Find the speed v of the bullet? (1 points) (1 points) (f) What is the initial kinetic energy? (1 point (g) How much is the energy lost once the pendulum gets to it the maximum height'?

Explanation / Answer

(A) momentum of block-bullet

(B) energy conservation

(C) m v0 + M x 0 = (m + M) v

m v0 = (m + M) v

(d) PEi + KEi = PEf + KEF

0 + (m + M) v^2 /2 = (m + M) g h + 0

v^2 = 2 g h

(e) v = sqrt(2 x 9.8x 0.063) = 1.11 m/s

9.5 v0 = (5400 + 9.5)(1.11)

v0 = 632 m/s

(f) KE = (0.0095) (632^2 ) / 2

= 1897.6 J

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