A car begins to move at time t=0 and then accelerates along a straight track with a velocity given by V(t)=2t2 ms–1 for 0≤t≤2, where t is time in second. After the end of acceleration, the car continues to move at a constant speed. A small block initially at rest on the floor of the car begins to slip at t=1 s and stops slipping at t=3 s. The coefficient of static and kinetic friction between the block and the floor are μs and μk respectively. Find the value of 3μsμk (g=10 ms−2)

A car begins to move at time t=0 and then accelerates along a straight

1.	A car begins to move at time t=0 and then accelerates along a straight track with a velocity given by V(t)=2t2 ms–1 for 0≤t≤2, where t is time in second. After the end of acceleration, the car continues to move at a constant speed. A small block initially at rest on the floor of the car begins to slip at t=1 s and stops slipping at t=3 s. The coefficient of static and kinetic friction between the block and the floor are μs and μk respectively. Find the value of 3μsμk (g=10 ms−2)
Answer» A car begins to move at time $t = 0$ and then accelerates along a straight track with a velocity given by $V (t) = 2 t^{2} {ms}^{- 1}$ for $0 \leq t \leq 2$ , where $t$ is time in second. After the end of acceleration, the car continues to move at a constant speed. A small block initially at rest on the floor of the car begins to slip at $t = 1 s$ and stops slipping at $t = 3 s$ . The coefficient of static and kinetic friction between the block and the floor are $μ_{s}$ and $μ_{k}$ respectively. Find the value of $\frac{3 μ_{s}}{μ_{k}}$ ( $g = 10 m s^{- 2}$ )

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