How much work was done by a force to accelerate a block

In summary, the work done by a force to accelerate a block can be calculated by multiplying the force applied to the block by the distance the block moved in the direction of the force. The unit of measurement for work is joules (J). The mass of the block does not directly affect the work done by a force, but a larger mass will require a larger force and more work will be done. The work done by a force can be negative if the force and displacement are in opposite directions. The angle between the force and displacement also affects the work done, with positive work being done when they are in the same direction, zero work when they are perpendicular, and negative work when they are in opposite directions.
  • #1
anyone1979
38
0
Is this right?

A block of mass 1 kg is acellerated from an initial speed of 2 m/s to a final speed of 6 m/s as it is dragged a distance of 10 m over a level floor. If the coefficient of kinetic friction between the block and the floor is 0.2, how much work must the be done by the applied force?


Fk = (.2)(9.8) = 1.96N

WFk = (1.96)(10)(-1) = -19.6J

W = (1/2)(1)(6^2) - (1/2)(1)(2^2) = 16J

Wtot = 19.6 + 16 = 35.6J
 
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  • #2
Good.:smile:
 
  • #3
Thank you.
 

FAQ: How much work was done by a force to accelerate a block

1. How do you calculate the work done by a force to accelerate a block?

The work done by a force to accelerate a block can be calculated by multiplying the force applied to the block by the distance the block moved in the direction of the force. This can be represented by the equation W = F * d, where W is work, F is force, and d is distance.

2. What is the unit of measurement for work?

The unit of measurement for work is joules (J). This is equivalent to a force of one newton (N) acting over a distance of one meter (m).

3. How does the mass of the block affect the work done by a force?

The mass of the block does not directly affect the work done by a force. However, a larger mass will require a larger force to accelerate it and therefore more work will be done.

4. Can the work done by a force be negative?

Yes, the work done by a force can be negative. This occurs when the force and the displacement are in opposite directions, resulting in the force doing negative work or removing energy from the system.

5. How does the angle between the force and displacement affect the work done?

The angle between the force and displacement affects the work done by a force. When the force and displacement are in the same direction, the work done will be positive. When they are perpendicular, the work done will be zero. And when they are in opposite directions, the work done will be negative.

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