Question

A certain force causes a 100 kg person to accelerate at 4.0 m/s 2. The same force applied to a 80-kg person would cause an acceleration of Select one:

a. 5.0 m/s2

b. 8.0 m/s2

c. 3.0 m/s2

d. 6.0 m/s2

Answer 1

Given data :-

mass of a first person(m1) = 100 kg

acceleration of first person(a1) = 4.0 m/s^2

mass of a second person(m2) = 80 kg

acceleration of second person (a2) = ??

By netwon's second law :-  

If a net force(F) acting on a object or person of a mass (m) then its moves towards with acceleration(a)

Formulae : F= ma

note:- Force(F) is same in both cases ( constant )

m1a1 =m2a2

Substitute the values in above formulae ; we get

100 * 4 = 80 * a2

a2 = 400/80

a2 = 5 m/s^2

Hence acceleration of second person of 80 kg is 5 m/s^2

so option (a) is correct value

remaining options (b, c, d ) are incorrect values