Question

An object has an acceleration of 18.0 m/s/s. If the net force

was tripled and the mass were halved, then the new
acceleration would be m/s/s.

Answer 1

Force = mass × acceleration

`{ \boxed{ \rm{F = ma}}}`

• For the first case;

`{ \tt{F = 18m}}`

• For the second case;

`{ \tt{3F = (1)/(2) m * a}} \\ \\ { \tt{F = (1)/(6)m * (1)/(3)a }}`

Then equate the equations:

`{ \tt{18m = (1)/(6) m * (1)/(3)a }} \\ \\ { \tt{18 = (1)/(3) ( (1)/(2) * a)}} \\ \\ { \tt{54 = (a)/(2) }} \\ \\ { \boxed{ \mathfrak{answer{ : \rm {a = 98 \: m {s}^( - 1) }}}}}`