Three cars (car L, car M, and car N) are moving with the same speed and slam on their brakes. The most massive car is car L, and the least massive is car N. If the tires of all three cars have identical coefficients of kinetic friction with the road surface, for which car is the amount of work done by friction in stopping it the greatest?

Respuesta :

Answer:car L

Explanation:

Given

Three cars L ,M and N  with mass [tex]m_L, m_M\ and m_N[/tex]

[tex]m_L> m_M > m_N[/tex]

let [tex]\mu [/tex]be the coefficient of kinetic friction

using [tex]v^2-u^2=2 as [/tex]

where v=final velocity

u=initial velocity

a=acceleration

s=distance moved

distance moved will be same as initial velocity is same and it is independent of mass

Work done by friction force is [tex]=\f_r\cdot s[/tex]

[tex]f_r_{L}=\mu m_Lg[/tex]

[tex]f_r_{M}=\mu m_Mg[/tex]

[tex]f_r_{N}=\mu m_Ng[/tex]

thus [tex]W_L=\mu m_Lg\cdot s[/tex]

[tex]W_M=\mu m_Mg\cdot s[/tex]

[tex]W_N=\mu m_Ng\cdot s[/tex]

as [tex]m_L[/tex] is greater therefore

[tex]W_L > W_M > W_N[/tex]