174k views
3 votes
An elevator has a weight of 14,700 N and has an acceleration of –0.30 m/s2. The free-body diagram shows the forces acting on the elevator.

A free body diagram with 2 force vectors. One vector is pointing up, labeled F Subscript t Baseline. The second vector is shorter pointing down, labeled F Subscript g Baseline.
To the nearest whole number, what is the force of tension, Ft, acting on the elevator?

2 Answers

4 votes

Answer:

14,250 N

Step-by-step explanation:

Weight = 14,700 N

Acceleration = -0.30m/s²


Acceleration = -0.30m/s2[tex]Weight=Fg\\\\Fg=mg\\\\Fg=14,700N\\m=?\\g=9.8m/s^(2) \\\\14,700N=m(9.8m/s^(2) ) \\\\14,700N/9.8ms^(2) =1500kg(mass)\\\\m=1500kg\\a=-0.30m/s^(2)\\\\f=ma\\f=(1500kg)(-0.30m/s^(2) )\\=-450N (net force)\\\\-450N=-14,700N+(Ft)\\14,250N=Ft

An elevator has a weight of 14,700 N and has an acceleration of –0.30 m/s2. The free-example-1
User Cherisse
by
5.2k points
2 votes

14250. I just took it

User Idealist
by
5.2k points