Another shortcut way of approaching Problem #4 is to remember that the co-efficient of friction equals the tangent of angle theta, where theta is the elevation/declension of the ramp. So, the tangent of 45 degrees is one, so, the answer is A.
Quick question, in my physics class I learned that the coefficient of static or kinetic friction is a number between 0 and one (it can be equally to either as well. So for question four would make B C and D all wrong automatically and you wouldn’t have to go through all the work wasting time? Does that make sense
That’s a good rule of thumb to keep in mind! The coefficient of friction is usually between 0 and 1 and values outside of that should make you raise your eyebrows. However, the coefficient can be greater than 1 so make sure to do the calculations to be sure of your answer
for the first question, won't the block traveling on the incline with the greatest angle be traveling the fastest when it reaches the bottom? The reason being, acceleration is m/s^2 and all blocks have equal acceleration but differing changes in distance (because changing the angle of the ramp changes the value of adjacent side of the triangle) therefore whichever block travels the greatest distance before reaching the bottom will have increased speed the most? If this is not the case could you please help clarify this for me? Thank you!
The three blocks do not have the same acceleration. For incline problems, you must break down the acceleration vector into components. The x-component is pulling the block down (mgsinθ). As the angle increases, the acceleration on the blocks increases. For the block with the smallest angle, it is true that the distance is the longest, but it has the smallest acceleration acting on it. The time to reach the bottom also differs between the blocks. The one thing which is constant in all cases is that there was a certain amount of potential energy at the top and regardless of how the blocks got down, this was all converted to kinetic energy. Hope this helps make it clearer!
I think the block atop the steepest angle will *get to the ground* first if they're all released at the same time, but since those on flatter slopes have more time to accelerate, they reach the same final speed as that one by the time they get to the bottom. Does that sound right?
Wait a minute!! Re: Problem #1 - that answer cannot be right. The acceleration of the block will not be g. It will be g(sin (theta)), where theta is the angle of the ramp above the horizontal. That’s how Galileo was able to figure out acceleration due to gravity, by rolling balls down a slight incline instead of dropping them off the Leaning Tower of Pisa. He factored into his equation the height of the ramp divided by the length, which is the definition of sin (theta) - y/r. So, Galileo’s equation was a variation on the one we know today: The distance traveled equals one-half gravity x height of the ramp times the unknown acceleration due to gravity, times the square of the time it took, divided by the length of the ramp. In this way, he was able to solve for gravitational acceleration. But he used the ramp instead of dropping things, because it “slowed down” the acceleration to a point where he could actually measure it accurately. So, this answer is wrong. It should be Answer A, which has the largest angle. As theta approaches 90 degrees, sin (theta) will approach one, and thus, the velocity will be maximized. Sorry, the surface of the ramp may be frictionless, but it still exerts a normal force on the block, and this is enough to bring trigonometry into the picture.
Think of it like this: Everything in the problem is exactly the same except the angles of the ramp. We are not looking for which block gets to the ground first (which would be A). We are trying to find the speed that the block has once it actually hits the bottom of the ramp. They all end up having the same speed by the time the block gets to the bottom because it is frictionless, the blocks weigh the same, and gravity is the same. However they have different times it takes them to reach that speed. Visualization: let's assume answer A takes 1 second to reach the bottom with a result of 10 m/s..... The other angles will also reach 10 m/s however it will take longer. answer C might take 2 seconds to reach the same speed due to the shallower angle.
Another shortcut way of approaching Problem #4 is to remember that the co-efficient of friction equals the tangent of angle theta, where theta is the elevation/declension of the ramp. So, the tangent of 45 degrees is one, so, the answer is A.
Quick question, in my physics class I learned that the coefficient of static or kinetic friction is a number between 0 and one (it can be equally to either as well. So for question four would make B C and D all wrong automatically and you wouldn’t have to go through all the work wasting time? Does that make sense
That’s a good rule of thumb to keep in mind! The coefficient of friction is usually between 0 and 1 and values outside of that should make you raise your eyebrows. However, the coefficient can be greater than 1 so make sure to do the calculations to be sure of your answer
This is great thank you!
Glad you like it!
Do you have video narrated solutions to AAMC FLE on your website, please?
for the first question, won't the block traveling on the incline with the greatest angle be traveling the fastest when it reaches the bottom? The reason being, acceleration is m/s^2 and all blocks have equal acceleration but differing changes in distance (because changing the angle of the ramp changes the value of adjacent side of the triangle) therefore whichever block travels the greatest distance before reaching the bottom will have increased speed the most?
If this is not the case could you please help clarify this for me? Thank you!
The three blocks do not have the same acceleration. For incline problems, you must break down the acceleration vector into components. The x-component is pulling the block down (mgsinθ). As the angle increases, the acceleration on the blocks increases.
For the block with the smallest angle, it is true that the distance is the longest, but it has the smallest acceleration acting on it. The time to reach the bottom also differs between the blocks. The one thing which is constant in all cases is that there was a certain amount of potential energy at the top and regardless of how the blocks got down, this was all converted to kinetic energy.
Hope this helps make it clearer!
I think the block atop the steepest angle will *get to the ground* first if they're all released at the same time, but since those on flatter slopes have more time to accelerate, they reach the same final speed as that one by the time they get to the bottom. Does that sound right?
Great video! Could you make more physics questions videos please
Thank you! Yes, we are working on those and will have them out soon
Loved it :)
Thanks, glad you enjoyed the video!
Wait a minute!! Re: Problem #1 - that answer cannot be right. The acceleration of the block will not be g. It will be g(sin (theta)), where theta is the angle of the ramp above the horizontal. That’s how Galileo was able to figure out acceleration due to gravity, by rolling balls down a slight incline instead of dropping them off the Leaning Tower of Pisa. He factored into his equation the height of the ramp divided by the length, which is the definition of sin (theta) - y/r. So, Galileo’s equation was a variation on the one we know today: The distance traveled equals one-half gravity x height of the ramp times the unknown acceleration due to gravity, times the square of the time it took, divided by the length of the ramp. In this way, he was able to solve for gravitational acceleration. But he used the ramp instead of dropping things, because it “slowed down” the acceleration to a point where he could actually measure it accurately. So, this answer is wrong. It should be Answer A, which has the largest angle. As theta approaches 90 degrees, sin (theta) will approach one, and thus, the velocity will be maximized. Sorry, the surface of the ramp may be frictionless, but it still exerts a normal force on the block, and this is enough to bring trigonometry into the picture.
Think of it like this:
Everything in the problem is exactly the same except the angles of the ramp. We are not looking for which block gets to the ground first (which would be A). We are trying to find the speed that the block has once it actually hits the bottom of the ramp.
They all end up having the same speed by the time the block gets to the bottom because it is frictionless, the blocks weigh the same, and gravity is the same. However they have different times it takes them to reach that speed.
Visualization: let's assume answer A takes 1 second to reach the bottom with a result of 10 m/s..... The other angles will also reach 10 m/s however it will take longer. answer C might take 2 seconds to reach the same speed due to the shallower angle.
@@Hephaestus_God You perfectly explained why I got it wrong and what I needed to think instead. Thanks!
questions are super easy as compare to neet in india
Yess that's why I watched this video
Do you even need to do math for the first question?
Not if you understand the concept well enough! But it always helps to have a proof haha
An object’s speed will always be affected by the degree of the incline. Sharper inclines will give more speed every time. Your #1 is incorrect.
Take into account that there’s no friction
Too much easy questions
NEET physics are more difficult than it🇮🇳