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Three sleds are being pulled horizontally on frictionless horizontal ice using horizontal ropes (Fig. 5.48). The pull is horizontal and of magnitude 125 N. Find (a) the acceleration of the system and (b) the tension in ropes A and B.

Respuesta :

Answer:

acceleration=2.0833 m/s^2

Tension in rope A=104.167 N

Tension in rope B=62.5 N

Explanation

mass of sleds are 10,20 and 30 Kg respectively.

Total mass =60 kg

F=ma

a=f/m

f=125 N

a=125/60

a=2.0833 m/s^2

Now using equation of equilibrium

F-Ta=ma*a

Ta=F-ma*a

Ta=125-(10*2.0833)

Ta=104.167 N

Tb=mc*a

Tb=30*2.0833

Tb=62.5 N

Question

The question is incomplete. The figure 5.48 was not attached to your question and the mass of the sleds is needed to answer the question. Below is the mass of the three sleds and the answer to the question.

10.0kg, 20.0kg and 30.0 kg

Answer:

a = 2.083m/s²

Tₐ  = 104.17N

 Tb=62.49 N

Explanation:

Given data;

Force = 125N

mass of the three sleds =30.0 kg, 20.0 kg and 10.0 kg

(a) acceleration:

The acceleration is calculated using the formula;

F = ma

where F is the force, m is the mass and a is the acceleration

making acceleration subject formula, we have

a = F/m

 but total mass = 30+20+10 = 60kg

a = 125/60

 a = 2.083m/s²

(b) Tension in Rope A:

by using the equilibrum formula,

F-Tₐ=mₐ*a

Where Tₐ is tension in rope A and mₐ is mass of rope A

making Tₐ subject, we have

Tₐ = F-mₐ* a

Substituting, we have

Tₐ = 125 - 10*2.083

      = 125 - 20.83

Tₐ  = 104.17N

(b) Tension in Rope B:

Tb=mc*a

Tb=30*2.083

Tb=62.49 N