a 75kg man stand in a lift what force does exert on it when the elivater start moving upward with an acceleration 2m/s
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Let the force that the lift applies on it, be R
The force that the man will apply on it, will be mg (mass × acceleration due to gravity) and it would be downward. So, R would be upward to maintain the equilibrium.
When the lift is moving upwards, the net force would be upward. So, R would become > mg.
So net force = R - mg
And net acceleration = a
=> net force = ma
Equating the two,
R - mg = ma
=> R = ma + mg
=> R = m(a + g)
So, m = 75, a = 2, taking g as 10m/s²
R = 75(2 + 10)
=> R = 75 × 12
=> R = 900 N
So the lift will apply a force of 900 N on the man.
The force that the man will apply on it, will be mg (mass × acceleration due to gravity) and it would be downward. So, R would be upward to maintain the equilibrium.
When the lift is moving upwards, the net force would be upward. So, R would become > mg.
So net force = R - mg
And net acceleration = a
=> net force = ma
Equating the two,
R - mg = ma
=> R = ma + mg
=> R = m(a + g)
So, m = 75, a = 2, taking g as 10m/s²
R = 75(2 + 10)
=> R = 75 × 12
=> R = 900 N
So the lift will apply a force of 900 N on the man.
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