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FIGURE EX6.20shows the velocity graph of a 75kg passenger in an elevator. What is the passenger鈥檚 weight

a. At 1s?

b. At 5s?

c. At 9s?

Short Answer

Expert verified

a. The passenger weight at t=1sis 1035N

b. The passenger weight at t=5sis 735N

c. The passenger weight att=9sis585N

Step by step solution

01

Content Introduction

Weight of an object is the gravitational force exerted on it and it is the product of the mass of the object m and the gravitational acceleration g.

w=mgw=75kg(9.80m/s2)w=735N

The equation for the apparent weight of the passenger is

wapp=w(1+ag)

Here, a is acceleration of the passenger.

The expression which relates acceleration, velocity and time is

a=vf-vitf-ti

02

Explanation (Part a)

The acceleration of passengers between time t=0stot=2sis

role="math" localid="1647603619704" a=vf-vitf-ti

Substitute,

role="math" localid="1647603629913" vf=8m/svi=0m/stf=2sti=0s

a=vf-vitf-tia=8m/s-0m/s2s-0sa=4m/s2

wapp=735N(1+4m/s29.80m/s2)wapp=1035N

03

Explanation (part b)

The acceleration of passenger at t=5sis zero.

The equation for apparent weight of the passenger at time t=5sis

wapp=735N(1+0m/s29.80m/s2)Wapp=735N

04

Explanation (Part c)

The acceleration of passenger at t=7stot=10sis -2m/s2

The equation for apparent weight of the passenger at time t=9s

wapp=735N(1-2m/s29.8m/s2)wapp=585N

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