An object placed on smooth horizontal surface acted by two horizontal forces as shown below. Find the
magnitude and direction of acceleration of block.
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An object is placed on the smooth horizontal surface acted by two horizontal force F₁ = 25N and F₂ = 40 N as shown in figure.
we have to find the magnitude and direction of acceleration of the block.
solution : according to Newton's law, acceleration is the directly proportional to net force acting on the object and direction of it is same as direction of net force.
here net force = F₁ + F₂
= 25 N (east ) + 40N (west )
= -25 N (west) + 40 N (west)
= 15 N (west )
Therefore net force acting on the object is 15 N towards west.
now acceleration, Fnet = ma
⇒15 N = 5kg × a
⇒a = 3 m/s²
Therefore acceleration of the object is 3 m/s² towards west
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