A block of mass 3.5 kg slides down a frictionless inclined plane of length 6.4 m that makes an angle of 30 degrees with the horizontal. if the block is released from rest at the top of the incline, what is its speed at the bottom

Question

Physics

Zain Villarreal

14 November, 06:38

A block of mass 3.5 kg slides down a frictionless inclined plane of length 6.4 m that makes an angle of 30 degrees with the horizontal. if the block is released from rest at the top of the incline, what is its speed at the bottom

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Elisa · Answer 1

Mass = 3,5 kg

weight = 35 N

distance = 6,4 m

Weight on X axis: Wx = weight. sine30

Wx = 35.0,5 = 17,5 N

F = m. a

17,5 = 3,5. a

a = 17,5/3,5

a = 5 m/s²

V² = V0² + 2a. d

V² = 0 + 2.5.6,4

V = √64

V = 8 m/s