Some Questions Involving Newton's Law

In summary, the conversation discussed solving three different physics problems involving motion on inclined surfaces and the use of free body diagrams. The first problem involved finding the time it takes for a skier to reach the bottom of a 24 degree slope with a length of 1.3 km. The second problem involved determining the angle needed for an air table to simulate the moon's surface, given the acceleration due to gravity. The third problem involved calculating the distance a block would slide up a 35 degree ramp with an initial speed of 2.2 m/s. The use of trigonometry and equations such as change in distance = (Initial Velocity * change in time) + (1/2 * acceleration * change in time squared) and final velocity
  • #1
LastBloomingFlower
15
0
A skier starts from rest at the top of a 24 degree slope 1.3 km long. Neglecting friction, how long does it take to reach the bottom?

At what angle should oyu tilt an air table to simulate motion on the moon's surface where g= 1/6 m/s/s?

A block is launched up a frictionless ramp that makes an angle of 35 degrees to the horizontal. If the lbock's initial speed is 2.2 m/s, how far up the ramp does it slide?

Would drawing a picture even help in any of these?!? I'm so lost... :rolleyes:
 
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  • #2
well draw a picture and see if you can understand waht is going on in these questins...

post your drawn pictures with your marking (Free body diagrams and such) on it
 
  • #3
I don't know how to post pictures on here...
I did draw them tho...
If I have a degree and a length, how do I turn that into finding out time?
 
  • #4
Pictures would help with 1 and 3. Draw free body diagrams.

1) To find acceleration, use trig. You know that the acceleration in the y direction is 9.8 m/s^2. Find what the acceleration must be by multiplying 9.8 m/s^2 by sin(24).

Then u can calculate the time it takes by using the equation

Change in distance = (Initial Velocity * change in time) + (1/2 * acceleration * change in time squared)


3) As the block moves up the ramp, it is going to slow down. So again you want to calculate this acceleration. As in problem 1, multiply 9.8m/ s^2 (acceleration due to gravity) by sin35.

Use the equation,

Final velocity squared = Initial velocity squared + 2 * acceleration * Change in distance

Note that the final velocity is zero because this is where the block will stop moving up the ramp.

Hope this helped.
 
  • #5
Thanks, Ed Quanta. I hope it does. :)
 

Related to Some Questions Involving Newton's Law

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 continue in a straight line at a constant velocity unless acted upon by an external force.

2. How does Newton's second law of motion explain the relationship between force, mass, and acceleration?

Newton's second law of motion states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. This means that the greater the force applied to an object, the greater its acceleration will be. Similarly, the more massive an object is, the less it will accelerate for a given force.

3. Can you give an example of Newton's third law of motion?

Newton's third law of motion, also known as the law of action and reaction, states that for every action, there is an equal and opposite reaction. An example of this is when a person jumps off a boat onto the dock. The person exerts a force on the dock (action), and at the same time, the dock exerts an equal and opposite force on the person (reaction).

4. How do Newton's laws of motion apply to everyday life?

Newton's laws of motion are fundamental principles that govern the behavior of objects in motion. They can be observed in various aspects of our daily lives, such as driving a car, throwing a ball, or riding a bike. These laws help us understand and predict the motion of objects and are essential for the development of technologies, such as airplanes, rockets, and satellites.

5. What is the difference between Newton's law of gravitation and Newton's second law of motion?

Newton's law of gravitation explains the force of attraction between two objects with mass, while Newton's second law of motion describes the relationship between force, mass, and acceleration of a single object. In other words, Newton's law of gravitation deals with the force between two objects, while Newton's second law deals with the force acting on a single object.

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