Two masses m1 and m2 are attached to a string which passes over a frictionless smooth pulley. When m1 = 10 kg, m2 = 6 kg, the acceleration of masses is gn𝑔𝑛. Value of n, is
Question
Two masses m1 and m2 are attached to a string which passes over a frictionless smooth pulley. When m1 = 10 kg, m2 = 6 kg, the acceleration of masses is gn𝑔𝑛. Value of n, is
Solution
The problem involves two masses m1 and m2 attached to a string which passes over a frictionless pulley. The acceleration of the system is given by the equation:
a = (m1 - m2)g / (m1 + m2)
where g is the acceleration due to gravity.
Given that m1 = 10 kg, m2 = 6 kg, and a = gn, we can substitute these values into the equation:
gn = (10 kg - 6 kg)g / (10 kg + 6 kg)
Solving for n, we get:
n = (4 kg) / (16 kg) = 0.25
So, the value of n is 0.25.
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