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vinitasethi (0)

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A body of mass 10kg at rest is acted simultaneously upon by 2 forces 4N &3N at right angles to each other, whats its kinetic energy at end of 10 secs.
    
johri_anshuman (1190)

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Net resultant force acting on the block =32+42=5 N.
So the net acceleration of the block=5/10=1/2m/sec2
 
now v=at=1/2*10=5m/sec.
So KE=1/2*m*v2=1/2*10*25=125 J
So the result is
 
125 J
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shailesh4sonu (0)

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yes it is 125 J
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Aatish (2308)

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since  F=ma;
 
therefore
 
As resultant force is 5N by vector law of llgm
 
therefore
 
a= .5 m/sec
 
therefore velocity after 10 secs is 5 m/sec
 
Now K.E is .5mv2
 Therefore
 
k.e is125 Joule
 

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sudeep.kumar (611)

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all of you are correct..
 
and we can use the impulse approach too..
 
Impulse given by the 5N force in 10 sec is 50Ns, and this is equal to change in momentum. As initial momentum is zero, final momentum is 50Nm.
Now either get v = 50/10 = 5 and get KE, or directly remembe KE = p2/2m

Sudeep Kumar
(B tech, IITd)

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