Calculating Work and Coefficient of Kinetic Friction for a Sliding Seal

In summary, the seal slides down the ramp and reaches the water with a speed of 4.40 m/s. The work done by kinetic friction is -K*(-1053.188) and the coefficient of kinetic friction between the seal and the ramp is 0.3050.
  • #1
askthefool
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I've been doing this problem for the last 170 minutes. Literally, and I'm pissed.

A 43-kg seal at an amusement park slides from rest down a ramp into the pool below. The top of the ramp is 1.75 m higher than the surface of the water and the ramp is inclined at an angle of θ = 35.0° above the horizontal. If the seal reaches the water with a speed of 4.40 m/s, what is (a) the work done by kinetic friction and (b) the coefficient of kinetic friction between the seal and the ramp?

http://www.askthefool.com/Pic7.jpg

I've been doing W(non conservative) = 1/2 mv ^ 2 - mgh

h = 1.75/sin(35)

Don't know what's wrong.
 
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  • #2
I'd like help ASAP. I'm going to bed soon, so the sooner the better. I appreciate it.
 
  • #3
A 43-kg seal at an amusement park slides from rest down a ramp into the pool below. The top of the ramp is 1.75 m higher than the surface of the water and the ramp is inclined at an angle of θ = 35.0° above the horizontal. If the seal reaches the water with a speed of 4.40 m/s, what is (a) the work done by kinetic friction and (b) the coefficient of kinetic friction between the seal and the ramp?
{Initial Total Energy} = (1/2)*m*(v_i)^2 + m*g*h_i = 0 + (43)(9.8)(1.75) =
= (737.45 J)
{Final Total Energy} = (1/2)*m*(v_f)^2 + m*g*h_f = (1/2)*(43)*(4.40)^2 + 0 =
= (416.24 J)
{Delta Total Energy} = {Final Total Energy} - {Initial Total Energy} =
= (416.24 J) - (737.45 J) =
= (-321.21 J)
= {Work Performed By Friction} = {-K*m*g*cos(35 deg)}*{1.75/sin(35 deg)} =
= {-K*(43)*(9.8)*cos(35 deg)}*{1.75/sin(35 deg)} =
= K*(-1053.188)

A) {Work Performed By Friction} = (-321.21 J)
B) {Coeff of Kinetic Friction} = (0.3050)


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  • #4
This is homework that's submitted online. The due date is already passed, and I missed the problem but that dosen't matter. It's only one point.

Howerver, we are still allowed to submit answer to check our work after the due date not for points, and i just tried the answers you provided and they are wrong. I've been getting those answers all night, trying a variety of ways.

Any other ideas?
 
  • #5
I take that back. You/me are both right. The teacher emailed us saying that that problem was broken and that everyone got credit for it. Thanks for you're help.
 
  • #6
askthefool said:
This is homework that's submitted online. The due date is already passed, and I missed the problem but that dosen't matter. It's only one point.

Howerver, we are still allowed to submit answer to check our work after the due date not for points, and i just tried the answers you provided and they are wrong. I've been getting those answers all night, trying a variety of ways.

Any other ideas?

I take that back. You/me are both right. The teacher emailed us saying that that problem was broken and that everyone got credit for it. Thanks for you're help.

haha, I was about to say that your teacher is wrong when i read your first reply cause xanthym is correct lol :approve:
 

FAQ: Calculating Work and Coefficient of Kinetic Friction for a Sliding Seal

What is potential energy of a slide?

Potential energy of a slide is the energy possessed by an object due to its position or state. In the case of a slide, it is the energy stored in the object at the top of the slide due to its height above the ground.

How is the potential energy of a slide calculated?

The potential energy of a slide can be calculated using the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above the ground.

What affects the potential energy of a slide?

The potential energy of a slide is affected by the mass of the object, the height of the slide, and the acceleration due to gravity. The higher the object is on the slide and the more massive it is, the greater its potential energy will be.

What happens to the potential energy of a slide when an object slides down it?

As the object slides down the slide, its potential energy is converted into kinetic energy, which is the energy of motion. This is because the object's height above the ground decreases, and therefore, its potential energy decreases while its kinetic energy increases.

Can potential energy of a slide be converted into other forms of energy?

Yes, potential energy of a slide can be converted into other forms of energy, such as kinetic energy or thermal energy. When an object slides down a slide, its potential energy is converted into kinetic energy. Friction between the object and the slide can also convert some of the potential energy into thermal energy.

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