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A block of mass 2 kg placed on a long frictionless horizontal table is pulled horizontally by a constant force F. It is found to move 10 m in the first seconds. Find the magnitude of F.

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प्रश्न

A block of mass 2 kg placed on a long frictionless horizontal table is pulled horizontally by a constant force F. It is found to move 10 m in the first seconds. Find the magnitude of F.

संख्यात्मक
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उत्तर

Given:

Mass of the block, m = 2 kg,

Distance covered, S = 10 m and initial velocity, u = 0

t = 2

Formula:

`S = ut + 1/2at^2`

F = ma

Solution:

Let a be the acceleration of the block.

`S = ut + 1/2at^2`

`10 = 1/2a(2^2)`          (∵ u = 0)

∴ `a = (10 xx 2)/(2^2)`

∴ `a = (10 xx 2)/(2 xx 2)`

∴ `a = 20/4`

∴ a = 5

Force, F = ma 

= 2 × 5

= 10 N

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अध्याय 5: Newton's Laws of Motion - Exercise [पृष्ठ ७९]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 5 Newton's Laws of Motion
Exercise | Q 1 | पृष्ठ ७९

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