Answer:
24 m/s²
Explanation:
The given parameters are;
The initial acceleration of the object, a = 16 m/s²
Let 'm' represent the initial mass of the object
The initial force acting on the object, F = m × a
∴ F = 16 × m = 16·m
When the mass is doubled, we have;
The new mass of the object, m₂ = 2 × m = 2·m
When the net force acting on the object triples, we have;
The new net force acting on the object, F₂ = 3 × F = 3 × 16·m = 48·m
From F = m × a, we have;
a = F/m
∴ The new acceleration of the object, a₂ = F₂/m₂
From which, by plugging in the values, we have;
a₂ = 48·m/(2·m) = 24
The new acceleration of the object, a₂ = 24 m/s².
