You are standing on a bathroom scale in anelevator in a tall building. Your mass

Question

   You are standing on a bathroom scale in anelevator in a tall building. Your mass is 72 kg. Theelevator starts from rest and Itravels upward with a speed thatvaries with time according to the equation
v(t)=(3.0m/s2)t+(0.20m/s3)t2. When t=4, what is the reading on the scale?    You are standing on a bathroom scale in anelevator in a tall building. Your mass is 72 kg. Theelevator starts from rest and Itravels upward with a speed thatvaries with time according to the equation
v(t)=(3.0m/s2)t+(0.20m/s3)t2. When t=4, what is the reading on the scale?

Explanation / Answer

acceleration a = dv(t)/dt = 3.0m/s2 +2*0.20m/s3 * t = 3.0m/s2 +0.40m/s3*t a(4.0s) = 3.0m/s2 +0.40m/s3*4.0s=4.6m/s2 the weight at t=4 is W = ma+mg = m(a+g) =72kg*(4.6m/s2+9.8m/s2) = 1036.8N answer:  t=4, the reading on the scale is1036.8N the weight at t=4 is W = ma+mg = m(a+g) =72kg*(4.6m/s2+9.8m/s2) = 1036.8N answer:  t=4, the reading on the scale is1036.8N

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