- #1
alikat785
- 1
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Hello!
I have a few homework problems that I'm just not sure what to do with:
1) A soccer ball rolls down a hill, reaching the bottom with a speed of 10.0 m/s. The coefficient of friction between the ball and the grass on the hill is .80. How far does the ball travel on the surface before coming to rest?
I know that the initial velocity is 0 m/s, and that the final velocity is 10 m/s, but I'm not sure what to do to find the answer.
2) A pig slides down a 35 degree incline in twice the time it would take to slide down a frictionless 35 degree incline. What is the coefficient of kinetic friction between the pig and the incline?
I found the acceleration of the pig on a frictionless incline using the equation a=9.8 sin 35 = 5.62 m/s^2. I thought maybe I could put it into the equation d=Vi*t + .5*a*t^2? so that
Vi*t + .5*(5.62)*t^2 = Vi*2t +.5(a)(2t)^2
since the distance the pig travels is the same for both inclines, and I think the initial velocity would be 0? But I'm not sure what the acceleration for the incline with friction would be- the same or different than the one without friction?
I would really appreciate any help anyone can give me. Thanks in advance!
Alison
I have a few homework problems that I'm just not sure what to do with:
1) A soccer ball rolls down a hill, reaching the bottom with a speed of 10.0 m/s. The coefficient of friction between the ball and the grass on the hill is .80. How far does the ball travel on the surface before coming to rest?
I know that the initial velocity is 0 m/s, and that the final velocity is 10 m/s, but I'm not sure what to do to find the answer.
2) A pig slides down a 35 degree incline in twice the time it would take to slide down a frictionless 35 degree incline. What is the coefficient of kinetic friction between the pig and the incline?
I found the acceleration of the pig on a frictionless incline using the equation a=9.8 sin 35 = 5.62 m/s^2. I thought maybe I could put it into the equation d=Vi*t + .5*a*t^2? so that
Vi*t + .5*(5.62)*t^2 = Vi*2t +.5(a)(2t)^2
since the distance the pig travels is the same for both inclines, and I think the initial velocity would be 0? But I'm not sure what the acceleration for the incline with friction would be- the same or different than the one without friction?
I would really appreciate any help anyone can give me. Thanks in advance!
Alison