How Is the Speed of a Sled Calculated at the Top of a Hill?

In summary, the conversation discusses pulling a sled up a frictionless hill with a constant force and calculating the final velocity of the sled. The relevant equations for solving this problem are work, potential energy, and kinetic energy. The conversation also emphasizes the importance of showing independent thought and problem-solving skills when seeking help. Another question about calculating change in internal energy is also mentioned.
  • #1
linnus
23
0

Homework Statement



You are pulling your sister on a sled to the top of a 17.0 m high, frictionless hill with a 10.0° incline. Your sister and the sled have a total mass of 50.0 kg. You pull the sled, starting from rest, with a constant force of 127 N at an angle of 45.0° to the hill. If you pull from the bottom to the top, what will the speed of the sled be when you reach the top?

Homework Equations


W=F*x (cos (angel))
PE=mgh
KE=1/2mv^2



The Attempt at a Solution

 
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  • #2
Do you have any work to show?
 
  • #3
You'll first need to figure out what the acceleration will be.

Then you can solve for v using this equation:

[tex]a(x-x_0)=\frac{1}{2}(v^2-v_0^2)[/tex]
 
  • #4
I'm not looking for an answer here. I know the answer, it is 4.29 m/s
But can someone give me a step by step process on how to get that answer?
Thanks
 
  • #5
linnus said:
I'm not looking for an answer here. I know the answer, it is 4.29 m/s
But can someone give me a step by step process on how to get that answer?
Thanks

I'm sorry but that is not what we do here. The homework helpers HELP with homework. We do not give away solutions, which is essentially what you are asking for. If you would like we can help you figure out how to the correct answer, but you'll have to show some independent thought on the problem first. I'll get you started with some questions:

You posted three relevant equations. Why did you decide to post those? How are they useful here?
 
  • #6
linnus said:
I'm not looking for an answer here. I know the answer, it is 4.29 m/s
But can someone give me a step by step process on how to get that answer?
Thanks

Step 1: draw a free body diagram of the scene.
Step 2: Determine the forces acting on the object.
Step 3: Find the acceleration of the object.
Step 4: Find the velocity of the object based on distance and acceleration.
 
  • #7
Quick question:

How do you calculate the change in internal energy given only the number of moles, and the temperature change?
 

Related to How Is the Speed of a Sled Calculated at the Top of a Hill?

1. What is work and energy in the context of a sled?

Work and energy in the context of a sled refer to the physical effort and motion required to move the sled from one point to another. Work is the result of applying a force to the sled over a distance, while energy is the ability of the sled to do work.

2. How does the weight of the sled affect its work and energy?

The weight of the sled affects its work and energy because it determines the amount of force needed to move the sled and the potential energy stored in the sled. Heavier sleds require more force and have more potential energy, while lighter sleds require less force and have less potential energy.

3. What factors affect the work and energy of a sled?

The work and energy of a sled are affected by several factors such as the weight of the sled, the force applied to the sled, the distance the sled is moved, and the surface on which the sled is being moved. Other factors include friction, air resistance, and the angle of the slope.

4. How is the work and energy of a sled calculated?

The work done on a sled is calculated by multiplying the force applied to the sled by the distance it is moved. The energy of a sled is calculated by multiplying its mass by the acceleration due to gravity (9.8 m/s2) and the height of the slope. This gives the potential energy of the sled. To calculate the kinetic energy of the sled, the mass is multiplied by the square of its velocity.

5. How can the work and energy of a sled be increased?

The work and energy of a sled can be increased by increasing the force applied to the sled, increasing the distance it is moved, or increasing its speed. Another way to increase the work and energy of a sled is to reduce the effects of friction and air resistance by using a smoother surface or reducing the weight of the sled.

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