Find the kinetic friction between two objects. For this problem, we need to look

Question

Find the kinetic friction between two objects. For this problem, we need to look at the two objects separately. Mass 1: Start with Newton's 2^nd Law: F_net=ma W - T = m_1 a m-1 g - T = m_1 a T = Mass 2: is on a flat surface and is not accelerating vertically, N = w_2 = m_2 g so f = mu_k m_2 g F_net=ma T - f = m_2 Insert your equation for T and solve for ff = What is the acceleration? (Definitely not 9.8m/s^2) Our favorite kinematics equation can help us with that: y = 1/2 a t^2 a= Here, y is the distance the 2^nd mass falls which should be the same as the distance the block moves horizontally.

Explanation / Answer

For Mass 1

Starts with newton’ s 2nd law

Fnet = ma

W-T= ma

m1 g – T= m1 a

T= m1 g - m1 a                       ………………………………………(1)

For Mass 2

Starts with newton’ s 2nd law

Fnet = ma

T-f= m2 a

(m1 g – m1 a ) -f= m2 a

f= m1 g – m1 a - m2 a = m1 g – ( m1 + m2 )a

acceleration, a

as              y=1/2 a*t^2

                    a=2y/t^2

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