Question 2 af 14 Sapling Learning Three crates with varlous contents are being p

Question

Question 2 af 14 Sapling Learning Three crates with varlous contents are being pulled by a 3815-N force across a hortzontal,frictionless roller- conveyor system. The group of baxes is accelerating on the conveyor at 1.516 m/s to the right. Between each adjacent pair of boxes is a force meter that measures the magnitude of the tension in the connecting rope. Assume that the ropes and force meters are massless. in3 3615 N 1387 N 2304 N What is the total mass of the three boxes? Number Mtotal kg What is the mass of each box? it In3 Number Number Number kg kg kg Previous Check Answer Next Exit

Explanation / Answer

given masses, m1 , m2 and m3
Force F = 3615 N
and te4nsiton between 3 and 2 T2 = 2304 N
and T1 = 1387 N
also acceleration of system = a = 1.516 m/s/s
and the surfaces are frictionless

so from force balance
F = (m1 + m2 + m3)*a
(m1 + m2 + m3) = F/a = 3615/1.516 = 2384.564 Kg

now from FBD of individual boxes
F - T2 - m3*a
3615 - 2304 = m3*1.516
m3 = 864.775 kg

T2 - T1 = m2*a
2304 - 1387 = m2*1.516
m2 = 604.881 kg

T1 = m1*a
m1 = 914.907 kg

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