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Work out the maximum number of people the lift can safely carry, given that the average mass of a man is 84 kg and the average mass of a woman is 70 kg, and the lift can safely carry 620 kg.

A) 6 men
B) 7 men
C) 7 women
D) 8 women

Answer :

Final answer:

To determine the maximum number of people a lift can safely carry given the weight of individuals and lift capacity, the calculation is done to ensure it doesn't exceed the limit. In this scenario, c) 7 women is the maximum safe capacity for the lift.

Explanation:

Maximum mass calculation: To find the maximum number of people the lift can safely carry, considering the acceleration, the total mass including the lift's mass should not exceed the maximum weight limit. For this case:
Man's mass = 84 kg, Woman's mass = 70 kg, Total available capacity = 620 kg

Calculation:
(6 men * 84 kg/man) + 250 kg (lift's mass) = 764 kg, which exceeds 620 kg, so 6 men are not safe.
(7 men * 84 kg/man) + 250 kg (lift's mass) = 848 kg, exceeds 620 kg, so 7 men are not safe.
(7 women * 70 kg/woman) + 250 kg (lift's mass) = 690 kg, within the capacity limit.
(8 women * 70 kg/woman) + 250 kg (lift's mass) = 790 kg, exceeding the capacity limit.

Therefore, the maximum number of people the lift can safely carry is 7 women.

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