A box with an initial speed of #3 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #1/3 # and an incline of #( pi )/3 #. How far along the ramp will the box go?
2 Answers
Here,as the tendency of the block is to move upwards,hence the frictional force will act along with the component of its weight along the plane to decelerate its motion.
So,net force acting downwards along the plane is
So,net deceleration will be
So,if it moves upward along the plane by
So,
The distance is
Explanation:
Resolving in the direction up and parallel to the plane as positive
The coefficient of kinetic friction is
Then the net force on the object is
According to Newton's Second Law of Motion
Where
So
The coefficient of kinetic friction is
The acceleration due to gravity is
The incline of the ramp is
The acceleration is
The negative sign indicates a deceleration
Apply the equation of motion
The initial velocity is
The final velocity is
The acceleration is
The distance is