menu
Hit Return to see all results
Chapter 6, Problem 42P
BuyFindarrow_forward

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

#### Solutions

Chapter
Section
BuyFindarrow_forward

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# An bullet of mass m = 8.00 g is fired into a block of mass M = 250 g that is initially at rest at the edge of a table of height h = 1.00 m (Fig. P6.42). The bullet remains in the block, and after the impact the block lands d = 2.00 m from the bottom of the table. Determine the initial speed of the bullet.Figure P6.42

To determine

Initial speed of the bullet.

Explanation

Given Info: Mass of the bullet is m=8.00Ã—10âˆ’3kg, Mass of the block is M=250Ã—10âˆ’3Â kg, initial velocity of the block is vB=0 ,height of the table is Î”y=1.00Â m, and distance moved by block is Î”x=2.00Â m.

The expression for projectile motion of the block-bullet combination is

Î”y=v0yt+12ayt2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  (1)

• Î”y is the height of the table.
• v0y is the vertical speed of the block-bullet combination.
• t is the time taken byÂ  block â€“bullet combination to reach the floor.
• ay is the acceleration due to gravity.

Substitute âˆ’1.00Â m for Î”y,0 for v0y,âˆ’9.80Â m/s2 for ay in equation (1)

âˆ’1.00â€‰m=(0)t+12(âˆ’9.80Â m/s2)t2âˆ’1.00â€‰m=(âˆ’4.9â€‰m/s2)t2t2=1.00â€‰m4.9â€‰m/s2t=0.452â€‰sÂ

Thus the time taken by block â€“bullet combination to reach the floor is 0.452â€‰s.

The expression for velocity of the bullet remains in the block is,

v0x=Î”xt

• v0x is the horizontal speed of the block-bullet combination

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

## Additional Science Solutions

#### Find more solutions based on key concepts

Show solutions add

#### In which domain and kingdom are humans classified?

Biology: The Dynamic Science (MindTap Course List)

#### Complete the following reactions: a. b. c.

Chemistry for Today: General, Organic, and Biochemistry