Need help solving A and B Items Constants Y Part A A 26 g rifle bullet traveling
ID: 2032560 • Letter: N
Question
Need help solving A and B
Items Constants Y Part A A 26 g rifle bullet traveling 220 m/s embeds itself in a 3.4-kg pendulum hanging on a 2.7-m-long string, which makes the pendulum swing upward in an arc. (Figure 1) C Thi Determine the vertical component of the pendulum's maximum displacement Express your answer to two significant figures and include the appropriate units. 2. A B Figure 1 of 1 3. Mon Aax Value Units 4. Th Submit Part B 6. The Determine the horizontal component of the pendulum's maximum displacement. Express your answer to two significant figures and include the appropriate units. 7. Pro 772 9. Pro Armax :1 Vahle UnitsExplanation / Answer
A) let
m = 26 g = 0.026 kg, v = 220 m/s
M = 3.4 kg
L = 2.7 m
let v' is the velocity of pendulum and bullet just after the bullet embeded into the pendulum.
Apply conservation of momentum
m*v = (m + M)*v'
==> v' = m*v/(m + M)
= 0.026*220/(0.026 + 3.4)
= 1.67 m/s
delta_ymax = v'^2/(2*g)
= 1.67^2/(2*9.8)
= 0.142 m <<<<<<<-------------------Answer
B) let theta is the angle made by the thread with vertical.
delta_ymax = L*(1 - cos(theta))
0.142 = 2.7*(1 - cos(theta))
0.142/2.7 = 1 - cos(theta)
cos(theta) = 1 - 0.142/2.7
theta = cos^-1(0.9474)
= 18.7 degrees
delta_xmax = L*sin(theta)
= 2.7*sin(18.7)
= 0.866 m <<<<<<<-------------------Answer