Laws of Forces and Motion: Block Sliding Down an Incline

In summary, the block of mass 2.00kg is released from a height of 5m on a frictionless incline at a 30 degree angle above a table with a height of 2.0m. The acceleration and velocity of the block can be determined using the equations F=ma and Vf^2 = Vi^2 + (2*a*position). Once the block leaves the incline, it becomes a projectile and its acceleration is solely due to gravity. The time interval for the block to hit the floor can be found using the equation position = Vi + 1/2*a*t^2.
  • #1
saber1357
67
1
1. Homework Statement

A block of mass m=2.00kg is released from rest at h=5m above the surface of the table, at the top of a theta=30 degrees incline. The frictionless incline is fixed upon a table with a height of 2.0m. a) determine acceleration as it slides down the incline.
b)What is velocity of block as it leaves incline?
c) How far from the table will the block hit the floor?
d)what time interval elapses.

2. Homework Equations
a) F = ma, a = F/m
b) Vf^2 = Vi^2 + (2*a*position)
c) ?
d) position = Vi + 1/2*a*t^2

3. The Attempt at a Solution
I figured out part a, the acceleration, and part b, the velocity at which the object left the incline. However, as soon as the object leaves the incline, it begins falling off the table. If I'm suppose to separate this part of the question into vector components, how would I go about doing that? Can I use the acceleration I found in a) as the horizontal acceleration?
 
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  • #2
Once the object leaves the incline and starts falling, it becomes a projectile just like any other. What must its acceleration be?
 
  • #3
Acceleration due to gravity, however, since the particle was accelerating to begin with, does that play a role in anything?
 
  • #4
Not once it leaves the incline and start falling. (Any force that the incline was exerting on the object stops acting as soon as the object loses contact with the incline.)
 
  • #5
Understood! Thank you!
 

1. What is Newton's first law of motion?

Newton's first law of motion, also known as the law of inertia, states that an object at rest will remain at rest and an object in motion will remain in motion at a constant velocity unless acted upon by an unbalanced force.

2. What is the difference between mass and weight?

Mass is the measure of the amount of matter in an object, while weight is the measure of the force of gravity acting on that object. Mass is measured in kilograms (kg) and weight is measured in Newtons (N).

3. How do forces affect motion?

Forces can cause a change in an object's motion by either speeding it up, slowing it down, or changing its direction. This is described by Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass (F=ma).

4. What is the difference between static and kinetic friction?

Static friction is the force that resists the motion of an object when it is at rest, while kinetic friction is the force that opposes the motion of an object when it is in motion. Static friction is typically greater than kinetic friction.

5. How do forces interact with each other?

Forces can interact with each other in different ways, depending on their direction and magnitude. When forces act in the same direction, they are added together and when they act in opposite directions, they are subtracted. This is described by Newton's third law of motion, which states that for every action, there is an equal and opposite reaction.

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