Question

Four model rockets are launched in a field. The mass of each rocket and the net force acting on it when it launches are given in the table below. (1. 4.25kg 120N) (2. 3.25kg 120N) (3. 5.50kg 120N) (4. 4.50kg 120N), Which rocket has the highest acceleration?

Answer 1

Answer:

Rocket 2 has highest acceleration.

Explanation:

Net force,

F = mass (m) × acceleration (a)

We have,

m₁ = 4.25 kg and F = 120 N

$a_1=\dfrac{F_1}{m_1}\\\\a_1=\dfrac{120}{4.25}\\\\a_1=28.23\ m/s^2$

m₂ = 3.25 kg, F₂ = 120 N

$a_2=\dfrac{F_2}{m_2}\\\\a_2=\dfrac{120}{3.25}\\\\a_2=36.92\ m/s^2$

m₃ = 5.5 kg, F₃ = 120 N

$a_3=\dfrac{F_3}{m_3}\\\\a_3=\dfrac{120}{5.5}\\\\a_3=21.81\ m/s^2$

m₄ = 4.5 kg, F₄ = 120 N

$a_4=\dfrac{F_4}{m_4}\\\\a_4=\dfrac{120}{4.5}\\\\a_4=26.66\ m/s^2$

Hence, it can be seen that the highest acceleration is of rocket 2.