Honors physics dynamics question?

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The discussion revolves around calculating the time it takes for a 100 kg crate to ascend a 3-meter ramp inclined at 25 degrees, given a tension of 850 N in the pulling rope and a sliding friction of 360 N. The crate starts with a velocity of 1 m/s at the bottom of the ramp. The key calculations involve determining the net force acting on the crate, applying Newton's second law, and using kinematic equations to find the time required for the ascent. The final answer is derived from these calculations, ensuring clarity in the free-body diagram and the forces involved.

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  • Understanding of Newton's second law of motion
  • Familiarity with free-body diagrams
  • Knowledge of kinematic equations
  • Basic concepts of friction and tension in physics
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  • Learn how to draw and analyze free-body diagrams
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carcinojenn
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A rope is used to pull a 100 kg crate up a 25 degree, 3 meter long ramp. The tension in the rope is 850 N and the sliding friction along the ramp is 360 N. If the velocity of the crate at the bottom of the ramp is 1 m/s, how long does it take for the crate to make it to the top?

What would the free-body and calculations look like and what would the final answer be? Please try to be as detailed as possible, even if that means being repetitive or stating the obvious. I'm having a lot of trouble with understanding this. Any help would be greatly appreciated.
 
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Hi, carcinojenn.

What have you attempted so far? What are you assuming? Where do you get stuck?

People will be more willing to help if you show that you have attempted a solution. :)
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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