QUESTION An elevator weighs 1960 N and is being supported by a cable having a tension equal to 2300 N. What is the acceleration of the elevator?
Problem No. 3
Two blocks are connected by a massless rope as shown below. The mass of the block on the table is 4.0 kg and the hanging mass is 1.0 kg. The table and the pulley are frictionless.
Newton's second law:
ΣF=ma
Uniform accelerated motion (UAM) equations, a.k.a. "
vf = v0 -gt∆y= (vf+v02)t∆y= v0t-12gt2 vf2= v02 -2g∆y
(a)
Applying Newton's second law to the block on the table:
ΣF = ma
T = m1a1
Applying Newton's second law to the hanging block: Tension pulls up, weight is directed downward, and the acceleration is directed downward.
ΣF = ma
T - m2g = - m2a2
m1a1 - m2g = - m2a2
m1a1 + m2a2 = m2g
a1 = a2 = a
(m1 + m2)a = mg
a = m2g/(m1 + m2) = (1 × 9.8)/(4.0 + 1.0) = 9.8/5 = 1.96 m/s2
(b) The acceleration of the system is 1.96 m/s2
QUESTION
An elevator weighs 1960 N and is being supported by a cable having a
tension equal to 2300 N. What is the acceleration of the elevator?
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