236,722 views
14 votes
14 votes
A 84-kg man stands on a spring scale in an elevator. Starting from rest, the elevator ascends, attaining its maximum speed of 1.2 m/s in 0.73 as. The elevator travels with this constant speed for 5.0 s, undergoes a uniform negative acceleration for 1.4 s, and then comes to rest.

What does the spring scale register During the first 0.80s of the elevator’s ascent?

User JMat
by
2.8k points

1 Answer

27 votes
27 votes

Answer:


SR=949.2N

Step-by-step explanation:

From the question we are told that:

Mass
M=84kg

Speed
V=1.2m/s

Acceleration Time
t_a=0.73

Constant speed Time
t_s=5.0s

Deceleration time
t_d=1.4s

Generally the equation for Acceleration is mathematically given by


a=(v)/(t)

Therefore acceleration for the first 0.80 sec is


a=(1.2)/(0.80)


a=1.5m/s^2

Therefore

Spring Reading=Normal force -Reaction


SR=m(g+a)


SR=84(9.8+1.5)


SR=949.2N

User Lorenzo Gatti
by
3.7k points