A man of mass m is standing in an elevator. The elevator is accelerating downward at g/k, where k1 and g is the gravitation acceleration. If the force on the man by the elevator's floof jmg, where j is a constant and k= a/(b+cj), where gcd(|a|,|b|,|c|)=1, what is a+b+c? If k cannot be expressed in this form, say so.

Question

A man of mass m is standing in an elevator. The elevator is accelerating downward at g/k, where k>1 and g is the gravitation acceleration. If the force on the man by the elevator's floof jmg, where j is a constant and k= a/(b+cj), where gcd(|a|,|b|,|c|)=1, what is a+b+c? If k cannot be expressed in this form, say so.

Damon · Answer

mg down F up mg - F = m a = m g/k mg - jmg = (mg/a)(b+cj) 1-j = (b+cj)/a = 1/k k (1-j) = 1 I do not know what gcd(|a|,|b|,|c|)=1 means so can go no further.