Question 55 (Unit 4) A wooden block slides over a horizontal floor at an initial

Question

Question 55 (Unit 4) A wooden block slides over a horizontal floor at an initial speed of 14.7 ms-1. How long does it take to come to rest if the only force acting on it is due to friction and the coefficient of sliding friction between the block and the floor is 0.75? Question 56 (Unit 4) A wooden block slides over a horizontal floor at an initial speed of 15 ms-1. It comes to rest in 3.5 s. If the only force acting on it is due to friction, what is the coefficient of sliding friction between the block and the floor? Question 57 (Unit 4) A ship is released from rest at a launching ceremony on a slipway that is inclined at 8.0° to the horizontal. If the coefficients of static and sliding friction between the ship and the slipway are 0.20 and 0.15 respectively, and if any forces due to the water and the air can be neglected, what is the magnitude of the ship's acceleration? Question 58 (Unit 4) A ship is released from rest at a launching ceremony on a slipway that is inclined at a certain angle to the horizontal. If the coefficients of static and sliding friction between the ship and the slipway are 0.32 and 0.25 respectively, and if any forces due to the water and the air can be neglected, what is the minimum angle that the slipway must make to the horizontal for the ship to begin to move?

Explanation / Answer

here,

55)

uk = 0.75

intial speed , u = 14.7 m/s

the accelration , a = - uk * g

a = - 0.75 * 9.81 m/s^2

a = - 7.36 m/s^2

let the time taken be t

v = u + a * t

0 = 14.7 - 7.36 * t

solving for t

t = 2 s

the time taken is 2 s

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