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Homework Statement
Losing Cargo. A box of mass 12.1 kg rests on the flat floor of a truck. The coefficients of friction between the box and floor are mu_s = 0.190 and mu_k = 0.160. The truck stops at a stop sign and then starts to move with an acceleration of 2.18 m/s^{2}.
If the box is a distance 1.83 m from the rear of the truck when the truck starts, how much time elapses before the box falls off the truck?
Homework Equations
f_smax= mu_s * N
f_k = mu_k * N
f_s + f_k = ma
x-x_0 = v_0x + 1/2 (a_x)t^2
The Attempt at a Solution
f_smax = .190(12.1*9.8) = 22.5
f_k = .160(12.1*9.8) = 19.0
22.5 + 19.0 =12.1(a)
41.5/12.1 = a = 3.43
1.83 = 1/2(3.43)t^2
t=1.03 seconds
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