Dynamics question. inclined plane

In summary, the conversation is about calculating the amount of work required to raise a 10 kg object 2 m off the ground using an inclined plane with a freely chosen angle and 0.5 friction. The person suggests using the work and energy law and mentions that after 1 m, there will be no acceleration and the work would be zero. They also mention considering the friction on the ramp and lifting the box. The other person asks for the exact text of the original question for clarification.
  • #1
Raye
1
0
Hi guys

can you help me with this question? any hint is helpful..



an object of weight of 10 kg is to be raised 2 m off ground. there's an inclined plane for it with a freely chosen angle. How much work must be applied for the plane with 0.5 friction when after 1 m , the object its max. velocity of 1 m/s reaches? (it starts moving from 0 m/s)

My theory: after 1m there'll be no acceleration, thus the work would be zero. everything regarding to 0 to 1 m work could be calculated by the work and energy law: W=K_2 - K_1

the energy in the end minus the initial energy: W: 1/2 m v^2-0 = 5 J
The F was originally the one without friction thus:

F: 5+(FN*0.5)

which is not correct since the result is 371.19
 
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  • #2
Hi Raye,

Maybe we'll have more luck if you could please post the exact text of the original question. But at a minimum, you're definitely going to need to consider the friction on the ramp; keep in mind that work = force times distance, and the whole time you are pushing against those friction forces as you slide up the ramp, as well as lifting the box. Give that some thought, and if you're still stuck please post the original text of the question and we'll try again; apologies in advance if I've misinterpreted your question,

Hope this helps,
Bill Mills
 
Last edited by a moderator:

Related to Dynamics question. inclined plane

1. How do I calculate the acceleration of an object on an inclined plane?

The acceleration of an object on an inclined plane can be calculated using the formula a = g sinθ, where a is the acceleration, g is the acceleration due to gravity (9.8 m/s²), and θ is the angle of the incline.

2. How does the angle of the incline affect the acceleration of an object?

The angle of the incline has a direct impact on the acceleration of an object. As the angle increases, the acceleration decreases. This is because a steeper incline exerts a greater component of gravity on the object, making it harder for the object to move.

3. What is the relationship between the force of gravity and the force of friction on an inclined plane?

The force of gravity and the force of friction are perpendicular to each other on an inclined plane. The force of gravity acts in the direction of the incline, while the force of friction acts in the opposite direction. As the angle of the incline increases, the force of friction also increases, making it harder for the object to move.

4. How do I determine the net force acting on an object on an inclined plane?

To determine the net force acting on an object on an inclined plane, you need to consider the forces acting on the object. These include the force of gravity, the force of friction, and any other applied forces. The net force can be calculated using the formula Fnet = ma, where Fnet is the net force, m is the mass of the object, and a is the acceleration.

5. How does the mass of the object affect its acceleration on an inclined plane?

The mass of the object has a direct relationship with its acceleration on an inclined plane. As the mass of the object increases, the acceleration decreases. This is because a heavier object requires more force to move it up the incline, and thus has a lower acceleration compared to a lighter object.

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