the rocket club is planning to launch a pair of model rockets. to build the rocket, the club needs a rocket…

the rocket club is planning to launch a pair of model rockets. to build the rocket, the club needs a rocket body paired with an engine. the table lists the mass of three possible rocket bodies and the force generated by three possible engines.\n| body | mass (kg) | engine | force (n) |\n| ---- | ---- | ---- | ---- |\n| 1 | 0.500 | 1 | 25 |\n| 2 | 1.5 | 2 | 20 |\n| 3 | 0.750 | 3 | 30 |\nbased on newtons laws of motion, which combination of rocket bodies and engines will result in the acceleration of 40 m/s² at the start of the launch?\no body 3 + engine 1\no body 2 + engine 2\no body 1 + engine 2\no body 1 + engine 1

the rocket club is planning to launch a pair of model rockets. to build the rocket, the club needs a rocket body paired with an engine. the table lists the mass of three possible rocket bodies and the force generated by three possible engines.\n| body | mass (kg) | engine | force (n) |\n| ---- | ---- | ---- | ---- |\n| 1 | 0.500 | 1 | 25 |\n| 2 | 1.5 | 2 | 20 |\n| 3 | 0.750 | 3 | 30 |\nbased on newtons laws of motion, which combination of rocket bodies and engines will result in the acceleration of 40 m/s² at the start of the launch?\no body 3 + engine 1\no body 2 + engine 2\no body 1 + engine 2\no body 1 + engine 1

Answer

Answer:

D. Body 1 + Engine 1

Explanation:

Step1: Recall Newton's second - law formula

$F = ma$, so $a=\frac{F}{m}$.

Step2: Calculate acceleration for Body 1 + Engine 1

$m = 0.500$ kg, $F = 25$ N. Then $a=\frac{25}{0.500}=50$ m/s².

Step3: Calculate acceleration for Body 2 + Engine 2

$m = 1.5$ kg, $F = 20$ N. Then $a=\frac{20}{1.5}=\frac{40}{3}\approx13.33$ m/s².

Step4: Calculate acceleration for Body 1 + Engine 2

$m = 0.500$ kg, $F = 20$ N. Then $a=\frac{20}{0.500}=40$ m/s².

Step5: Calculate acceleration for Body 3 + Engine 1

$m = 0.750$ kg, $F = 25$ N. Then $a=\frac{25}{0.750}=\frac{100}{3}\approx33.33$ m/s².

So the combination of Body 1 + Engine 2 results in an acceleration of 40 m/s².