What distance does the block slide?

In summary, the conversation discusses the process of solving two tasks involving calculating velocity, distance, and angles using various equations and kinematics principles. The correct answers were found for task a, but task b required additional calculations and consideration of the coefficient of friction.
  • #1
JiJiasd
7
0

Homework Statement


upload_2016-5-24_16-24-33.png


Homework Equations


m*v^2 / 2 and k*x^2 / 2 and 0,5*m*v^2

The Attempt at a Solution


[/B]
in task a I got correct answer there v = 20 m/s
in task b I got wrong answer I got the distance = 0,76 m but I should be 32 m

here is my answer :
0,5*m*(sin(30)*v) - mu * m*g*cos(30) = m*g*h
h=0,38 m
sin (30) = h/L there L is the distance of the block when it goes up
L= h/sin(30) = 0,76

What I do wrong in task b ?

Thanks

 
Last edited by a moderator:
Physics news on Phys.org
  • #2
JiJiasd said:
0,5*m*(sin(30)*v)
sin(30)v should be squared
 
  • #3
I seem to get the answer on the second one to be 35.4012435624
 
  • #4
JiJiasd said:
mu * m*g*cos(30)
Shouldnt this be mu*(m*g*cos(30))*h/cos(30)=mu*m*g*h?
I think so...
 
  • #5
sidt36 said:
I seem to get the answer on the second one to be 35.4012435624
What equation you did use ? thanks
 
  • #6
Replusz said:
sin(30)v should be squared
I tried with 0,5*m*(sin(30)*v)^2 - mu * m*g*cos(30) = m*g*h
but it does not give me the correct answer
thanks
 
  • #7
Replusz said:
Shouldnt this be mu*(m*g*cos(30))*h/cos(30)=mu*m*g*h?
I think so...
Now I tried 0,5*m*(sin(30)*v)^2 - mu * m*g*cos(30) *h/sin(30) = m*g*h
but not working
 
  • #8
I used a kinematics equation
 

Related to What distance does the block slide?

1. What is the formula for calculating the distance a block slides?

The formula for calculating the distance a block slides is d = 0.5 * μ * m * g * t^2, where d is the distance, μ is the coefficient of friction, m is the mass of the block, g is the acceleration due to gravity, and t is the time.

2. How does the coefficient of friction affect the distance a block slides?

The coefficient of friction plays a significant role in determining the distance a block slides. A higher coefficient of friction means that there is more resistance to motion, so the block will not slide as far compared to a lower coefficient of friction.

3. Is the distance a block slides affected by its mass?

Yes, the distance a block slides is affected by its mass. The greater the mass of the block, the more force is required to move it, so it will slide a shorter distance compared to a block with a smaller mass.

4. How does the angle of the incline affect the distance a block slides?

The angle of the incline plays a role in determining the distance a block slides. A steeper incline will result in a shorter distance, as there is more resistance to motion. A shallower incline will result in a longer distance, as there is less resistance to motion.

5. Can the distance a block slides be affected by other factors besides friction and mass?

Yes, there are other factors that can affect the distance a block slides. These include the surface the block is sliding on, the presence of any external forces, and the shape or size of the block.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
667
  • Introductory Physics Homework Help
2
Replies
38
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
768
  • Introductory Physics Homework Help
Replies
20
Views
1K
Replies
5
Views
401
  • Introductory Physics Homework Help
Replies
20
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
191
  • Introductory Physics Homework Help
Replies
2
Views
630
  • Introductory Physics Homework Help
Replies
11
Views
843
Back
Top