Blocks faster than sound

Classical Mechanics Level 5

A block of mass \(5 \text{ kg}\) is on a frictionless horizontal surface, initially at rest. Then, a force starts to be applied on the block, giving it an initial acceleration of \(1 \text{ m/s}^2\) with a variation of \(7 \text{ m/s}^3\) after one second of application. After one minute the force started to be applied, what will be the sum of all the forces, in newtons, that will have been applied on the block in each second that will have passed?

Details and Assumptions:

  • Take "one meter per cubic second" to be "one meter per squared second per second".

  • The forces do vary and they all have the same direction. Consider that they are parallel to the surface.


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