Question

the local race track has invited students to visit and see the races. students are excited to see the cars accelerate and predict which cars will win. two vehicles are next to race. car 1 has a mass of 1540 kg and car 2 has a mass of 1428 kg. they both leave the starting line with an acceleration of 90 m/s². which car is moving with a greater net force, and what is that cars net force?
car 1, 17.1 n
car 2, 17.1 n
car 2, 138600 n
car 1, 138600 n

Explanation:

Step1: Recall Newton's second - law formula

$F = ma$, where $F$ is the net - force, $m$ is the mass, and $a$ is the acceleration.

Step2: Calculate the net - force for Car 1

Given $m_1=1540\ kg$ and $a = 90\ m/s^2$. Using $F = ma$, we have $F_1=m_1a=1540\times90 = 138600\ N$.

Step3: Calculate the net - force for Car 2

Given $m_2 = 1428\ kg$ and $a = 90\ m/s^2$. Using $F = ma$, we have $F_2=m_2a=1428\times90=128520\ N$.

Step4: Compare the net - forces

Since $138600\ N>128520\ N$, Car 1 has a greater net - force.

Answer:

D. Car 1, 138600 N