An 8.00 g bullet is fired into a

Answered question

2022-01-13

An 8.00 g bullet is fired into a 2.50 keg block that is initially at rest at the edge of a frictionless table of height 1.00 m (fig. P9.57). The bullet remains in the block, and after impact the block lands 2.00 m from the bottom of the table. Determine the initial speed of the bullet.An 8.00 g bullet is fired into a 2.50 keg block that is initially at rest at the edge of a frictionless table of height 1.00 m (fig. P9.57). The bullet remains in the block, and after impact the block lands 2.00 m from the bottom of the table. Determine the initial speed of the bullet.

Answer & Explanation

nick1337

nick1337

Expert2022-02-07Added 777 answers

The system's initial velocity in the y direction (block plus bullet) is zero. only the acceleration brought on by gravity.

Thus

S=ut+12at2

1=0+12×9.81×t2

t=0.452 sec

In y direction acceleration is zero.

S=ut+12at2

2=u×0.452+12×0×t2

u=4.43 m/s

This is initial velocity of system before falling down.

Now, apply conversation of momentum

m1v1+m2v2=(m1+m2)u

(0.008)×v1+(0.250×0)=(0.258)×4.43

v1=0.258×4.430.008=142.86 m/s

Thus, speed of bullet =143 m/s - Answer

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