Finding the weight, work, and normal force of a block

In summary, the conversation discusses the calculation of weight, work done, and normal force on a block being dragged over a horizontal surface. The equations used are F=ma and W=Fx, with weight being a special case of force where the acceleration is a constant g. The work done is a vector product, preferably an integral, and the normal force is calculated using the given values for mass, force, displacement, and friction force.
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Homework Statement


4 questions:
1. A block of mass M=2.6 kg is dragged over a horizontal surface by a force F=22.0 N. The block is displaced a distance d=10.0 m, the friction force Ff is 3.1 N. What is the weight of the block in Newtons? Use 10 m/s2 for g.

2. A block of mass M=1.0 kg is dragged over a horizontal surface by a force F=20.0N. The block is displaced a distance d=10.0 m, the friction force Ff is 5.0 N. What is the work done by the weight Fg?

3. A block of mass M=2.6 kg is dragged over a horizontal surface by a force F=22.0 N. The block is displaced a distance d=10.0 m, the friction force Ff is 3.1 N. What is the normal force acting on the block?

4. A block of mass M=3.3 kg is dragged over a horizontal surface by a force F=29.0 N. The block is displaced a distance d=17.0 m, the friction force Ff is 4.8 N. What is the work done by the normal force FN?


Homework Equations



W=fxd


The Attempt at a Solution



I have tried to watch my instructors videos and none of this section makes any sense to me! I am in need of someone to explain how to figure all of these out please !
Thank you so much
 
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  • #2
Hi,
The fundamental thing to remember here, is Newton's second law, or F=ma(mass times acceleration).
Weight is a special case of a force, where the acceleration is a constant g, and it is always downward, depending on your choice of axes.
You wrote down correctly, that [itex] \large W = Fd [/itex], but remember that it's a vector product, a dot product, and preferably an integral, [itex] W = \displaystyle \int \vec{F}\cdot d\vec{r} [/itex].
Does this make things clearer?
Daniel
 

FAQ: Finding the weight, work, and normal force of a block

What is the formula for calculating the weight of a block?

The formula for calculating the weight of a block is weight = mass x acceleration due to gravity (W = mg). The mass of the block can be measured in kilograms (kg) and the acceleration due to gravity is typically 9.8 meters per second squared (m/s²).

How do I calculate the work done on a block?

The formula for calculating the work done on a block is work = force x distance (W = Fd). The force applied to the block can be measured in Newtons (N) and the distance is typically measured in meters (m).

What is the normal force on a block?

The normal force on a block is the support force exerted by a surface on an object in contact with it. It is equal in magnitude but opposite in direction to the force applied by the object on the surface.

How do I find the weight of a block on an inclined plane?

To find the weight of a block on an inclined plane, you can use the formula W = mgcosθ, where m is the mass of the block, g is the acceleration due to gravity, and θ is the angle of the incline.

What is the relationship between weight and normal force?

The normal force on a block is equal to the weight of the block when the block is at rest or moving at a constant velocity. However, if the block is accelerating, the normal force will be different from the weight due to the additional forces acting on the block.

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