1 . A 12 g bullet traveling at 520 m/s strikes a 1.2 kg block of wood that is ba

Question

1. A 12 g bullet traveling at 520 m/s strikes a 1.2 kg block of wood that is balanced on a table edge 0.6 m above ground (see figure). If the bullet buries itself in the block, find the distance D at which the block hits the floor.   m

2. An 20 g rifle bullet traveling 290 m/s buries itself in a 4.6 kg pendulum hanging on a 3.4 m long string, which makes the pendulum swing upward in an arc. Determine the maximum vertical displacement of the pendulum (height).(g = 9.8 m/s2)   meters

1. A 12 g bullet traveling at 520 m/s strikes a 1.2 kg block of wood that is balanced on a table edge 0.6 m above ground (see figure). If the bullet buries itself in the block, find the distance D at which the block hits the floor. m 2. An 20 g rifle bullet traveling 290 m/s buries itself in a 4.6 kg pendulum hanging on a 3.4 m long string, which makes the pendulum swing upward in an arc. Determine the maximum vertical displacement of the pendulum (height).(g = 9.8 m/s2) meters

Explanation / Answer

1.
form momentum conservation on block -bullet ,

0.012 x 520 = (1.2 +0.012)u

u =5.15 m/s

now in vertical
h = ut + gt^2 /2

0.6 = 0 + 9.8t^2 /2

t = 0.35 sec

D = ut = 1.80 m

2.

from momentum conservation on bullet-pendulum ,

0.020 x 290 = (4.6 +0.020)u

u = 1.26 m/s

now for work energy theorem,

mgh= mv^2 /2

h = v^2 /2g = 0.080 m or 8 cm

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.