when you weigh yourself on good old terra firma (solid ground), your weight is 545 n . in an elevator your apparent weight is 470 n . what is the magnitude of the elevator's acceleration?



Answer :

The magnitude of the elevator's acceleration is 18.25 m/s².

What is the acceleration of the elevator?

The acceleration of the elevator is calculated as follows;

R = Fa - Fg

R = ma - mg

R = m(a - g)

where;

  • R is the apparent wight on elevator
  • m is your mass
  • a is your acceleration
  • g is acceleration due to gravity

m = W/g

m = (545 N) / (9.8 m/s²)

m = 55.61 kg

ma = R + mg

ma = R + W

a = (R + W) /m

a = (470 + 545) / 55.61

a = 18.25 m/s²

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