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Chapter 37: 3 - Excercises And Problems (page 1081)

A newspaper delivery boy is riding his bicycle down the street at 5.0 m/s. He can throw a paper at a speed of 8.0 m/s. What is the paper鈥檚 speed relative to the ground if he throws the paper (a) forward, (b) backward, and (c) to the side?

Short Answer

Expert verified

a) 13m/s

b) 3m/s

c) 89m/s

Step by step solution

01

We are given

Bicycle Velocity(Vb)= 5m/s

Paper Velocity(Vp)= 8m/s

02

a) Simplification

a) Since the direction of velocity of the bicycle and the newspaper is same, the latter will gain the velocity of the former also with repect to the ground.
V= Vb + Vp
V= 8m/s + 5m/s = 13 m/s

03

b) Simplification

Since now the motion of the newspaper and the bicycle completely opposite, the former will loose velocity. Hence its resultant velocity with respect to the ground will be the subtraction of the velocities
V = Vp - Vb = 8m/s -5m/s = 3m/s

04

c) Simplification

Now both the velocities are perpendicular hence using vector algebra
V=Vp2+Vb2= 82+52=89

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