Question 1
Mass of the first object = m1 = 2 kg
Acceleration of the first object due to the force = a1 = 3 m/s2
Force acting = F
F = m1a1
F = (2)(3)
F = 6 N
Mass of the second object = m2 = 1 kg
Acceleration of the second object due to the force = a2
F = m2a2
6 = (1)a2
a2 = 6 m/s2
Acceleration produced when the same force acts on a 1 kg mass = 6 m/s2
Question 2
Gravitational acceleration = g = 9.81 m/s2
Mass of the block = m = 15 kg
Horizontal force on the block = F = 200 N
Angle of the incline = = 20o
Acceleration of the block = a = 0.25 m/s2
Normal force on the block from the incline = N
Friction force on the block from the incline = f
From the free body diagram,
N = mgCos + FSin
N = (15)(9.81)Cos(20) + (200)Sin(20)
N = 206.7 N
ma = FCos - mgSin - f
(15)(0.25) = (200)Cos(20) - (15)(9.81)Sin(20) - f
f = 134 N
Coefficient of friction =
f = N
134 = (206.7)
= 0.65
a) Friction force on the block = 134 N
b) Coefficient of friction = 0.65
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