Part A A 29-g rife bullet traveling 240 m/s embeds itself in a 3.5-kg pendulum h

Question

Part A A 29-g rife bullet traveling 240 m/s embeds itself in a 3.5-kg pendulum hanging on a 2.7-m-long string, which makes the Determine the vertical component of the pendulum's maximum displacement pendulum swing upward in an arc. (Eigure 1) Express your answer to two significant figures and include the appropriate units Aa 2.502 Units Submit My Answers Give Up Incorrect; Try Again; 4 attempts remaining Enter your answer using dimensions of distance. Part B Determine the horizontal component of the pendulum's maximum displacement. Express your answer to two significant figures and include the appropriate units. igure1 of Value Units Submit My Answers Give U FR eM

Explanation / Answer

Here ,

part A)

let the speed of the block after the bullet hits the block is v

Using conservation of momentum

0.029 * 240 = (0.029 + 3.5) * v

v = 1.97 m/s

NOw, for the maximum angle made with vertical is theta

0.50 * m * 1.97^2 = m * 9.8 * 2.7 * (1- cos(theta))

solving for theta

theta = 22 degree

vertical component of pendulum's maximum displacement = 2.7 * (1 - cos(22 degree))

vertical component of pendulum's maximum displacement = 0.197 m

b)

horizontal component of pendulum's maximum displacement = 2.7 * sin(22 degree)

horizontal component of pendulum's maximum displacement = 1.011 m

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