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Dimas [21]
3 years ago
9

You are standing on a bathroom scale in an elevator in a tall building. Your mass is

Physics
1 answer:
Oksanka [162]3 years ago
3 0

Answer:

94 kg or 921.6 N

Explanation:

The velocity function is v(t) = 3t + 0.2t^2. The acceleration function, a(t), is the time derivative of the velocity function.

a(t) = \dfrac{d}{dt}v(t) = 3 + 0.4t

At t=4,

a(4) = 3 + 0.4\times4 = 3+1.6 =4.6\text{ m/s}{}^2

Because the elevator is going upwards, the net acceleration, a_N = g + a(4) where g us acceleration of gravity.

a_N = 9.8 + 4.6 = 14.4\text{ m/s}{}^2

The resultant weight is

W =m a_N =64\times14.4=921.6 \text{ N}

Since the bathroom scale is graduated in kg, it's reading is

m =\dfrac{W}{g}=\dfrac{921.6}{9.8}=94\text{ kg}

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