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In: Physics

a 2kg mass lying at rest at the origin is subjected to a force of 10...

a 2kg mass lying at rest at the origin is subjected to a force of 10 N directed along the positive X-axis and another force of 10 N along the positive y-axis. How far from the origin will the mass be in 5 seconds?

Solutions

Expert Solution

We apply Newton's second law to the x axis

but the net force in the x-axis is also equal to

Thus the acceleration in the x-axis is

to know the distance the following equation is used.

where:
  initial position (at the origin)
  Initial speed of the rest.
acceleration in the x axis.
  duration of the applied force

evaluated numerically

due to on the y axis the magnitude of the applied force is equal, it will have the same aceleraccion, on the Y axis

if the horizontal distance is equal to the vertical

The distance from the origin is obtained using the theorem of Pythagoras

genius_generous answered 1 hour ago
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