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  1. A block of mass 10 kg, moving in x direction with a constant speed of 10 ms–1, is subject to a retarding force F = 0.1 × J/m during its travel from x = 20 m to 30 m. Its final KE will be :​​
    1. ​450 J
    2. 275 J
    3. 250 J
    4. 475 J
Correct Option: D

From, F = ma

a =
F
=
0.1 x
= 0.01x = V
dV
m10dx



= 4.5 – 2 = 2.5
1
m(V22 - V12) = 10 × 2.5J = -25 J
2

Final K.E. =
1
mv22 =
1
mv12 - 25 =
1
× 10 × 10 × 10 - 25
222

= 500 – 25 = 475 J



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