All I have is initial velocity of 4.0 m/s and kinetic friction of .46 between object and ground.
If someone can help show me how to find acceleration or mass that would be great then I think I can find delta x.
Object is sliding on a horizontal line. i.e. baseball player sliding into homeplate
lunchtime_browser
Favorite Answer
I'm assuming that the object is sliding on a horizontal surface.
The normal (weight) force due to the object is mg where m is the mass and g is the acceleration due to gravity.
By definition, the Friction force F = umg where u is the coefficient of kinetic friction.
But the friction force F is the force decelerating the object
From Newton's 2nd Law:
F = mass * a where a is the acceleration
Therefore ma = umg (divide by m and m disappears)
a = ug = 0.46 * 9.81 = 4.513 m/s^2
You know initial velocity u = 4.0 m/s
final velocity v = 0
deceleration a = - 4.513 m/s^2
v^2 = u^2 + 2ax
0 = 16 - 9.026x
x = 16/9.026 = 1.77m
Good luck.
Anonymous
you also need acceleration (gravity) a=9.81 m/s2 and you need the angle of the slope