Friction Mechanics: Solving for Block's Speed at Point A

In summary, friction mechanics is a branch of physics that studies the forces between two surfaces in contact. Solving for the block's speed at Point A involves using equations and principles of friction mechanics to determine its speed at a specific point along a given path. Friction plays a crucial role in this process, as it can both accelerate and decelerate the block. The speed of the block at Point A is affected by various factors, including the magnitude and direction of frictional forces, the block's mass, and the path's angle and length. While friction cannot be completely eliminated, its effects can be minimized to improve the accuracy of calculations.
  • #1
Shah 72
MHB
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A wooden block of mass 3.5kg is sliding up a rough slope and passes a point A with speed 20m/s. The slope is at 29 degree to the horizontal. The block comes to rest 25m up the slope. Find its speed as it passes point A on the way down.
I calculated coefficient of friction = 0.554.
U=20m/s v= 0 and s= 25m.
By using v^2= u^2+2as, I got a= -8m/s^2.
I can't calculate after this.
Pls help
 
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  • #2
upslope …

$a = \dfrac{0^2-20^2}{50} = -8 \, m/s^2 = -10[\sin(29)+\mu\cos(29)] \implies \mu = 0.36$

try again …
 

1. What is friction?

Friction is the force that opposes the motion of an object when it comes into contact with another object or surface.

2. How does friction affect the speed of a block?

Friction can cause a decrease in the speed of a block by converting some of its kinetic energy into heat energy.

3. What factors affect the amount of friction on a block?

The amount of friction on a block is affected by the type of surface it is in contact with, the weight of the block, and the roughness of the surfaces in contact.

4. How can the speed of a block at point A be calculated using friction mechanics?

The speed of a block at point A can be calculated by using the equation: v = √(2μgd), where μ is the coefficient of friction, g is the acceleration due to gravity, and d is the distance traveled.

5. How can friction be reduced in order to increase the speed of a block?

Friction can be reduced by using a lubricant, smoothing out rough surfaces, or reducing the weight of the block. Additionally, reducing the force pushing the block can also decrease the amount of friction.

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