Question

The figure shows four penguins that are being playfully pulled along very slippery (frictionless) ice by a curator. The masses of three penguins and the tension in two of the cords are m1 = 10.5 kg, m3 = 14.7 kg, m4 = 22.05 kg, T2 = 120 N, and T4 = 236 N. What is the mass of the second penguin (the mass m2 not given)?

Answer 1

m1 = 10.5 kg, m3 = 14.7 kg, m4 = 22.05 kg, T2 = 120 N, and T4 = 236 N.
m2=?
(m1+m2+m3+m4)a=T4
(m3+m4)a=T4-T2

(10.5+m2+14.7+22.05)a =236
(14.7+22.05)a=236-120
a=116/36.75 =3.16 m/s²
(10.5+m2+14.7+22.05)a =236
m2={236-(10.5+14.7+22.05)3.16}/3.16 = 27.43 kg

Answer 2

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