Two bicyclists ride towards each other along a long straight road, each with a constant speed of 10 km/h. When they are 20 km apart, a bee begins flying from the front of one bicycle towards the other at 30 km/h. When the bee reaches the other bicycle, it immediately turns around and starts flying back towards the original bicycle at the same speed. This repeats until the bikes crash into each other and the bee is squished. A. How many trips does the bee travel before it gets squished?

B. For how long will the bee survive?

C. What is the total distance the bee will travel?

Explanation:

A )

As the two bicycles come closer , the time period of oscillation of bee to oscillate between the two is gradually reduced . It is akin to a pendulum with gradually decreasing amplitude . It will be infinite number of trips the bee will travel before it gets squished .

B )

The bee will survive until the two bicyclists meet each other .

time of their meeting = distance between them / their relative velocity

= 20 / ( 10 + 10 )

= 1 hour .

C )

Total distance travelled by bee during 1 hour

= time x speed of bee

= 1 x 30 km/h

= 30 km .

  1.the balanced   chemical equation is as below

cu +   2 ag(no)₃ → cu(no₃)₂   +2 ag

2.the   much silver   produced   is   50.9 g

step 1: find the   moles of cu

moles =   mass÷   molar mass

  from periodic table the molar mass of cu = 63.5 g/mol

moles is therefore = 15.00 g÷ 63.5 g/mol = 0.236   moles

step 2: use the mole ratio to determine the   moles of ag

from equation above   cu: ag   is 1: 2

therefore the moles of ag   =0.236   moles   x 2/1 =0.472   moles

step 3: find the mass   of ag

mass = moles x molar mass

from periodic table   the molar mass of ag =107.87 g/mol

mass   = 0.472   moles x 107.87 g/mol = 50.9 g

3.   the   much   silver   collected worth is   1.797 oz

  convert   50.9 g   to oz

that is   1 gram = 0.0353 oz

          50.9 grams =?   oz

by cross multiplication

={(50.9 grams x 0.0353 oz) / 1   gram}   =1.797 oz

the part of the wave he is travelling on is the crest