(a) The equation relating to the acceleration of the two masses is a = F/(m₁ + m₂).
(b) The acceleration of both masses is 2.5 m/s².
(c) The magnitude of the tension in the string is 1.25 N.
Equation relating the accelerations of the two masses
The equation relating to the acceleration of the two masses is given as;
F - T = m₂a ---- (1)
T = m₁a ---- (2)
F - m₁a = m₂a
F = m₁a + m₂a
F = a(m₁ + m₂)
a = F/(m₁ + m₂)
Free body diagram (FBD)
→ ← →
T T F
Acceleration of both masses
The acceleration is calcuated as follows;
a = F/(m₁ + m₂)
a = 5/(0.5 + 1.5)
a = 5/(2)
a = 2.5 m/s²
Tension in the string
T = m₁a
T = 0.5 x 2.5
T = 1.25 N
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