A box of mass 30 kg is released from rest at the top of a frictionless incline o

Question

A box of mass 30 kg is released from rest at the top of a frictionless incline of length 8m. The angle of inclination of the incline is 20 degrees. 1. What are the components of the weight of the box parallel and perpendicular to the incline? 2. What is the magnitude of the normal force Fn of the incline on the box? 3. What acceleration a does the box slide down the incline? 4. How long does the box take to reach the base of the incline? 5. How fast is the box moving by the time it reaches the base of the incline?

Explanation / Answer

1) parallel to incline= mg sin20
perpendicular to incline= mgcos20

2) Normal force= N= mg cos20
3) acc= gsin20
4) 8= (1/2)gsin20 t2 , find t

5) v=gsin20 t, put t from 4) to find v

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