Calculate velocity of block down a ramp using energy conserv

AI Thread Summary
To calculate the velocity of a 2kg block sliding down a 3m ramp inclined at 40 degrees with a coefficient of friction of 0.2, energy conservation principles are applied. The relevant equations include kinetic energy (1/2 mv^2), potential energy (mgh), and the work done by friction (Fnμ * displacement). The initial calculation yields a velocity of 8.237 m/s, but concerns are raised about not considering the angle properly. A suggestion is made to draw a free body diagram to clarify the forces, although it's noted that this won't directly provide the correct height for the potential energy calculation. Accurate assessment of the height and frictional forces is essential for determining the correct final velocity.
Scatteredheroes
Messages
20
Reaction score
0

Homework Statement



A 2kg block slides down a 3 m long ramp that is inclined at 40 degrees. The coefficient of friction is .2

What is the velocity when it hits the bottom of the ramp?

Homework Equations



Kinetic = 1/2 mv^2
Potential = mgh
Work of friction: Fnμ*(displacement)

The Attempt at a Solution



1/2mv^2 + mgh = 1/2mv^2 + mgh - Fnμ*(displacement)

v = 8.237.
[/B]
I don't think that's right, because I didn't take into account the angle. What do I need to do?
 
Physics news on Phys.org
Draw a picture.
 
You can start by drawing a free body diagram (those always help).
 
Not in this case ... a fbd won't tell OP the correct height the block falls.
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »

Similar threads

Finding the work done by a block
Replies
4
Views
3K
Energy analysis of this system (curved ramp up and a spring)
Replies
29
Views
1K
Coefficient of Friction question for a cart going down a wooden ramp
Replies
18
Views
3K
Maximum height a block reaches after separating from a curved moving ramp
Replies
8
Views
2K
A ball climbing a ramp while "rolling the wrong way"
Replies
32
Views
3K
Calculate speed of block at the end of the ramp
Replies
10
Views
5K
Calculating Velocity of a Sliding Box on an Inclined Ramp
Replies
3
Views
2K
Questions Regarding a Cat Going Up a Ramp
2
Replies
56
Views
3K
Conservation of energy problem: Ball rolling down inclined plane and then through a loop-the-loop
Replies
10
Views
2K
Two bars connected by a spring on a floor with friction
Replies
37
Views
1K

Hot Threads

Recent Insights

Back
Top