Block Sliding on Horizontal Plane & Incline: Speed & Distance Covered

AI Thread Summary
A block slides on a horizontal plane at an initial velocity of 10 m/s before reaching a 35-degree incline after 4 meters. The coefficient of kinetic friction is 0.4 for all surfaces, affecting the block's speed as it transitions to the incline. To determine the speed upon reaching the incline, calculations must consider the effects of friction and the initial velocity. The distance the block slides up the incline and the total time to its highest point also require analysis of forces and acceleration. A structured approach to solving these physics problems is essential for accurate results.
nguyenn2
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a block slides along a horizontal plane at an initial velocity of 10m/sec. After sliding 4 meters it reaches a 35 degree incline and slides up the hill. the coefficient of kinetic friction is 0.4 for all surfaces.

a) how fast is it going when it reaches the incline?
b) how far up th incline will it slide?
c) what is the total time from start to its highest point?
 
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Since this is a homework question, please show some work before we can help you.
 
X0=4
Xf=0
V0=10cos35
Vf=?
a=0
t=?
 
nguyenn2 said:
X0=4
Xf=0
V0=10cos35
Vf=?
a=0
t=?

Is this for the first part? Re-read the question; the block is on a horizontal plane, thus what is the value of v0? Is there a force acting on the block? What does this say about your statement that there is no acceleration?

It's also probably best to let x0=0 and let xf=4.

Think about my questions and the part of the problem you want to answer, and show some work; not just a list of given quantities.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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