cable exerts a constant up tension of magnitude 2.66 ✕ 104 N on a 2.40 ✕ 103 kg elevator as it rises through a vertical distance of 1.50 m?

Question

A cable exerts a constant upward tension of magnitude 2.66 ✕ 104 N on a 2.40 ✕ 103 kg elevator as it rises through a vertical distance of 1.50 m.

HINT

(a) Find the work done by the tension force on the elevator (in J). 

 J

(b) Find the work done by the force of gravity on the elevator (in J). 

 J

Answer 1

(a)

Find the work W done by the tension force on the elevator (in J). 

W = T*d = 2.66*1.5*10^4 = 3.99*10^4 joule

(b)

Find the work W' done by the force of gravity on the elevator (in J).

W' = m*g*d =  2.4*10^3*-9,806*1.4 = -3.53*10^4 joule 

Answer 2

Work done by Tension force = (2.66 x 10⁴ N)(1.50 m) = 3.99 x 10⁴ J

Work done by gravity = (2.40 x 10³ kg)(9.81 m/s²)(1.50 m) = 3.53 x 10⁴ J