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January 30, 2015

January 30, 2015

Posted by **Ron** on Monday, January 6, 2014 at 5:46pm.

Find the angle (in degrees) through which the block rises, if the strings are 0.540 m in length.

- Physics -
**Damon**, Monday, January 6, 2014 at 6:26pmAt collision use conservation of momentum

Mbullet Vi bullet = (Mbullet+MBlock)V

solve for V, the speed of the block with the bullet in it

calculate kinetic energy

(1/2) m v^2

that becomes potential energy when the block stops

m g h

so

v^2 = 2 g h

solve for h

now get angle

hypotenuse is L, length of string

T = string angle from vertical

cos T = (L-h)/L

solve for T

by the way you can approximate cosine for small angles

Cos T = 1 - T^2/2

1 - T^2/2 = 1 - h/L

T^2 = 2 h/L

T = sqrt(2 h/L)

note T will be in RADIANS if you do that

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