Problem with object moving up an incline.

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In summary, a box weighing 96 kg is pushed up an inclined plane at a steady speed of 3.2 m/s. Part A of the question asks for the force parallel to the plane, while Part B asks for the horizontal force required to achieve the same result. The weight of the box acts vertically downwards and needs to be resolved into two components - one parallel to the plane and one vertical to the plane. The force of friction also acts parallel to the plane.
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Homework Statement



A box of mass 96 kg is pushed up an inclined plane which makes an angle of 21 degrees with the horizontal. The box moves at a steady speed of 3.2 m/s.

(a) What force, parallel to the plane, is being applied? (4 marks)

(b) What horizontal force is require to produce the same results? (2 marks)

Homework Equations



I can't name any off the top of my head.

The Attempt at a Solution



I'm having some trouble understanding mostly Part A of this question. What does it mean by parallel to the plane? Is it like the force of friction or gravity?
 
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  • #2
The weight acts vertically downwards. You want to resolve this weight into two components, one parallel to the plane and one vertical to the plane.

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  • #3
The force of friction is parallel to the plane..
 

FAQ: Problem with object moving up an incline.

What is the relationship between mass and acceleration when an object moves up an incline?

The relationship between mass and acceleration when an object moves up an incline is described by Newton's Second Law of Motion. This law states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. In simple terms, the heavier the object, the more force is required to move it up the incline and the slower its acceleration will be.

How does the angle of the incline affect an object's motion?

The angle of the incline affects an object's motion by determining the amount of force required to move the object up the incline. The steeper the incline, the more force is needed to overcome the force of gravity pulling the object down. This results in a slower acceleration and a longer distance traveled compared to a less steep incline.

What role does friction play in an object's motion up an incline?

Friction plays a major role in an object's motion up an incline. Friction is the force that opposes the motion of an object and is caused by the contact between surfaces. In the case of an object moving up an incline, friction acts in the opposite direction of the object's motion, making it more difficult for the object to move. This means that the more friction there is, the more force is needed to move the object up the incline.

How does the height of the incline affect an object's potential and kinetic energy?

The height of the incline affects an object's potential and kinetic energy. As the object moves up the incline, it gains potential energy due to its increased height. At the same time, it loses kinetic energy because it is slowing down as it moves against gravity. Once the object reaches the top of the incline, it has maximum potential energy and minimum kinetic energy. As it moves down the incline, the opposite happens, with the object gaining kinetic energy and losing potential energy.

What factors can affect an object's motion up an incline?

Several factors can affect an object's motion up an incline. These include the mass and shape of the object, the angle and height of the incline, the coefficient of friction between the object and the incline, and the force applied to move the object. Other external forces, such as air resistance, may also affect the object's motion. Additionally, the surface of the incline, such as its texture and material, can also impact an object's motion.

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