In a performance test, each of two cars takes 9.0 s to accelerate from rest to 28 m/s. Car A has a mass of 1379 kg, and car B has a mass of 1902 kg. Find the net average force that acts on (a) car A and (b) car B during the test.

Respuesta :

Explanation:

It is given that,

Mass of car A, [tex]m_A=1379\ kg[/tex]

Mass of car B, [tex]m_B=1902\ kg[/tex]

In a performance test, each of two cars takes 9.0 s to accelerate from rest to 28 m/s. Their acceleration is given by :

[tex]a=\dfrac{v-u}{t}[/tex]

[tex]a=\dfrac{28\ m/s}{9}[/tex]

a = 3.12 m/s²

(a) The net force of car A, [tex]F_A=m_Aa[/tex]

[tex]F_A=1379\ kg\times 3.12\ m/s^2[/tex]

[tex]F_A=4302.48\ N[/tex]

(b) The net force of car B, [tex]F_B=m_Ba[/tex]

[tex]F_B=1902\ kg\times 3.12\ m/s^2[/tex]

[tex]F_A=5934.24\ N[/tex]

Hence, this is the required solution.