The apparent weight of this mass : 69.05 N
Further explanation
Newton's 2nd law explains that the acceleration produced by the resultant force on an object is proportional and in line with the resultant force and inversely proportional to the mass of the object
∑F = m. a
F = force, N
m = mass = kg
a = acceleration, m / s²
In elevators there are two possible movements:
then the forces that work
N - W = ma
N - mg = ma
N = ma + mg
N = m (a + g) ... equation 1
then the forces that work
w - N = ma
mg - N = ma
N = mg - ma
N = m (g - a) ... equation 2
So the apparent weight :
- upwards ⇒ N = m (a + g)
- downwards ⇒ N = m (g - a)
Known
m = 5.0 kg
a = 4.0 m/s²
The apparent weight :
Because an elevator that is accelerating upwards , then
N = m (a + g)
N = 5 (4 + 9.81)
N = 69.05 N
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