Problem 2 Hints IMA = 340 N Learning Goal To use the principle of work and energ

Question

Problem 2 Hints IMA = 340 N Learning Goal To use the principle of work and energy to determine characteristics of a system of particles, including final velocities and positions. The two blocks shown have masses of A 45 kgand Tm 69 kg Submit My Answers Give Up Correct The coefficient of kinetic friction between block A and the inclined plane is ,-0 10 The angle of the inclined plane is given by 40 . Noglect the weight of the rope and pulley Eiure 1) Part B Determining the velocity of the blocks at a given position If both blocks are released from rest, determine the velocity of block B when it has moved through a distance of s- 2.50 m Express your answer to two significant figures and include the appropriate units. Hints (VB)2 = 40 Submit My Answers Give Up Correct Figure 1 of 1 Part C Determining the position of the blocks at a given velocity If both blocks are released from rest, determine how tar block A has moved up the incline hen the velocity of block B is (vB)2 -4.50 m/s Express your answer to two significant figures and include the appropriate units. Hints 3.59 m

Explanation / Answer

Mass of B=69 kg

mass of A=45 kg

Let tension in rope is T

69*9.8 - T = 69a

Or, 676.2-T=69a

T-45*9.8*sin40-0.1*45*9.8cos40=45a

Or, T-317.25 = 45a

a=3.15 m/s2

Time taken by block B to reach speed of 4.5 m/s = 4.5/3.15=1.43 seconds

Distance by whioch block A moves = 0.5*3.15*1.432=3.22m along the incline

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