A package of mass m = 2.00 kg is released from rest at the top of an inclined plane as seen in the figure. The package starts out at height h = 0.200 m above the top of the table, the table height is H = 2.00 m, and θ = 45.0°.A package of mass m placed on an incline, which is placed on the right side of the horizontal surface of a table. The incline makes an angle of θ with the horizontal surface of the table on which the incline is placed. The height of the incline is shown as h while the height of the table is shown as H. A dotted line indicates that the block slides down the incline and takes a curved route down before it hits the floor. The horizontal distance between the right leg of the table and the point on the ground where the block is expected to fall is shown as R. (a) What is the acceleration (in m/s2) of the package while it slides down the incline? (b)What is the speed (in m/s) of the package when it leaves the incline? (c)At what horizontal distance (in m) from the end of the table will the package hit the ground? (d)How long (in s) from when the package is released does it hit the ground? (e)Does the package's mass affect any of your above answers?

Question
Asked Feb 25, 2019
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A package of mass m = 2.00 kg is released from rest at the top of an inclined plane as seen in the figure. The package starts out at height h = 0.200 m above the top of the table, the table height is H = 2.00 m, and θ = 45.0°.
A package of mass m placed on an incline, which is placed on the right side of the horizontal surface of a table. The incline makes an angle of θ with the horizontal surface of the table on which the incline is placed. The height of the incline is shown as h while the height of the table is shown as H. A dotted line indicates that the block slides down the incline and takes a curved route down before it hits the floor. The horizontal distance between the right leg of the table and the point on the ground where the block is expected to fall is shown as R.
 
(a) What is the acceleration (in m/s2) of the package while it slides down the incline?
 
(b)What is the speed (in m/s) of the package when it leaves the incline?
 
(c)At what horizontal distance (in m) from the end of the table will the package hit the ground?
 
(d)How long (in s) from when the package is released does it hit the ground?
 
(e)Does the package's mass affect any of your above answers?
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Expert Answer

Step 1

(a)

The acceleration of the block along the frictionless incline is,

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Step 2

Substituting the values,

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Step 3

(b)

According to the trigonometric relation, find the ...

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