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ID: 585564 • Letter: R
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In what direction will each mass accelerate? Mass m_1 mass m_2 Suppose mi = 6 kg and m_2 = 10 kg. What is the tension in the string? T= Suppose m_1 = 6 kg and m_2= 10 kg. What is the value of the acceleration? A= Suppose that m_2 starts from rest at a height of 7 m. Use the kinematic equations to determine how long it takes for m_2 to hit the ground.Explanation / Answer
i) Since mass m2 is havier the pulling force at that side due to gravity will be more. Hence mass m1 will go up and m2 will go down.
j) Equation for m1: T - m1g = m1a
Equation for m2: m2g-T = m2a
adding these equations we get, a = (m2-m1)g/(m1+m2)
putting this value in equation 1:
we get T = m1(g+a) = 2m1m2g/(m1+m2) = 2*6*10*9.81/(6+10)= 73.575 N
k) acceleration a = (m2-m1)g/(m1+m2) = (10-6)*9.81/(10+6) = 2.453 m/s^2
l) The distance to travel = 7 m starting from rest,
hence time = sqrt(2s/a) = sqrt(2*7/2.453) = 2.389 sec.
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