Hello, please include explanation, it is only ~~QUESTION #5:::: . thank you! A b

Question

Hello, please include explanation, it is only ~~QUESTION #5:::: . thank you!

A block with mass m1 = 9.4 kg is on an incline with an angle ? = 33.0? with respect to the horizontal. For the first question there is no friction between the incline and the block. ***When there is no friction, magnitude of the acceleration of the block= 5.33 m/s2 ***

with friction, the acceleration is measured to be only a = 3.58 m/s2. the coefficient of kinetic friction between the incline and the block= .213 ***To keep the mass from accelerating, a spring is attached with spring constant k = 166.0 N/m. the coefficient of static friction if the spring must extend at least x = 15.0 cm from its unstretched length to keep the block from moving down the plane= .327 ***The spring is replaced with a massless rope that pulls horizontally to prevent the block from moving. the tension in the rope in N= 24.448 ~~~~~~~~~QUESTION #5:::: Now a new block is attached to the first block. The new block is made of a different material and has a coefficient of static friction ? = 0.97. What minimum mass is needed to keep the system from accelerating? ~~~~~~~~~

Explanation / Answer

M sin33 - M cos33 + m sin33 - m cos33 = 0

M (0.544639 - 0.97*0.83867) + 9.4*0.544639 - 0.32711*9.4*0.83867 = 0

M = 9.45 kg

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