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Chapter 9: Q. 9 (page 227)

You throw a 5.5g coin straight down at 4.0m/s from a 35-m-high bridge.

a. How much work does gravity do as the coin falls to the water below? b. What is the speed of the coin just as it hits the water?

Short Answer

Expert verified

a). 1.89J work does gravity do as the coin falls to the water below

b). The speed of the coin is26.49m/s

Step by step solution

01

Step 1. Given Information

Mass od the coin =5.5g=0.0055Kg

Speed of the coin vi=4m/s

Height of the bridges=35m

02

Step 2. Part a). The work done by the gravity force

As the coin fall downward it accelerates with gas a result its velocity changes,

Hence by calculating a change in its kinetic energy in the duration till it hits the water surface,

localid="1648137947470" W=FG鈫�路鈭�r鈫�JW=FG鈭�rcos0掳JW=0.0055脳9.8脳35JW=1.89J

03

Step 3. Part b). Find its velocity before hitting water

Now,

For the equation of the motion:

vf2=vi2+2asm/s=42+2脳9.8脳35m/s=702m/svf=26.49m/s

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