Constants Part A A 26-g rifle bullet traveling 210 m/s embeds itself in a 3.5-kg

Question

Constants Part A A 26-g rifle bullet traveling 210 m/s embeds itself in a 3.5-kg pendulum hanging on a 2.9-m-long string, which makes the pendulum swing upward in an arc. (Figure 1) Determine the vertical component of the pendulum's maximum displacement. Express your answer to two significant figures and include the appropriate units ??/max= Value Units Submit equest Answer Part B Determine the horizontal component of the pendulum's maximum displacement. Express your answer to two significant figures and include the appropriate units Figure 1 of 1 Value Units Submit Request Answer Provide Feedback

Explanation / Answer

here,

mass of bullet , m1 = 0.026 kg

mass of block , m2 = 3.5 kg

initial speed , u = 210 m/s

let the final speed after the collison be v

using conservation of momentum

m1 * u = (m1 + m2) * v

0.026 * 210 = ( 0.026 + 3.5) * v

v = 1.55 m/s

the vertical displacement , h = v^2 /2g

h = 1.55^2 /(2 * 9.81) = 0.12 m

the horizontal displacement , x = sqrt(l^2 - (l - h)^2)

x = sqrt(2.9^2 - ( 2.9 - 0.12)^2)

x = 0.83 m

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