how to calculate the force exerted by by a man with a mass of 72 kg on the floor of a lift when the lift is accelerating downwards at 0.6 meters per second
force=mg-(m*.6)
To calculate the force exerted by a man on the floor of a lift when it is accelerating, you need to consider the man's weight (force due to gravity) and the additional force caused by the lift's acceleration. Here's how you can calculate it:
1. Determine the force due to gravity:
The force due to gravity is given by the formula: Fg = m * g
Where:
- Fg is the force due to gravity
- m is the mass of the man (given as 72 kg)
- g is the acceleration due to gravity, which is approximately 9.8 m/s²
Plugging in the values, we get: Fg = 72 kg * 9.8 m/s²
2. Calculate the force caused by the lift's acceleration:
The force caused by the lift's acceleration is given by the formula: Fa = m * a
Where:
- Fa is the force caused by acceleration
- m is the mass of the man (again, given as 72 kg)
- a is the acceleration of the lift, which is given as 0.6 m/s²
Plugging in the values, we get: Fa = 72 kg * 0.6 m/s²
3. Calculate the total force exerted by the man on the floor of the lift:
The total force is the sum of the force due to gravity and the force caused by acceleration: Ftotal = Fg + Fa
Plugging in the values from steps 1 and 2, we get: Ftotal = (72 kg * 9.8 m/s²) + (72 kg * 0.6 m/s²)
Calculating this expression will give you the total force exerted by the man on the floor of the lift.