Question

PLEASE PROVIDE ACCURATE STEP-BY-STEP SOLUTIONS.

Question ll The initial velocity of the block in position A is 10 m/s. Knowing that the coefficient of kinetic friction between the block and the plane is 쌔-0.20, determine the time it takes for the block to reach B with zero velocity if θ= 30°

Answer 1

deacceleration = Net force / mass

= mg sin $\theta$ - u_k mg cos $\theta$ / m

= g sin $\theta$ - u_k g cos $\theta$

= 9.8 ( sin 30 - 0.2*cos 30)

= 3.2 m/s2

using the equation of linear motion we have

v = u + at

0 = 10 - 3.2*t

t = 3.12 s

so the time taken to reach B is 3.12 s