Figure gives the acceleration of a 2.0 kg body as it moves from rest along x axis while a variable force acts on it from x=0 m to x=9 m . The work done by the force on the body when it reaches (i) x=4 m and (ii) x=7 m shall be as given below

Question

Figure gives the acceleration of a 2.0 kg body as it moves from rest along x axis while a variable force acts on it from x=0 m to x=9 m . The work done by the force on the body when it reaches (i) x=4 m and (ii) x=7 m shall be as given below (A) 21 J and 33 J respectively (B) 21 J and 15 J respectively (C) 42 J and 60 J respectively (D) 42 J and 30 J respectively

Tardigrade Admin · Accepted Answer

From figure Work done (W) = max W4=2[ (1/2)× 1× 6+3× 6 ] = 42 J W7=2 [21+3-3-1× 6] =30 J

Q. Figure gives the acceleration of a $2.0 k g$ body as it moves from rest along $x$ axis while a variable force acts on it from $x = 0 m$ to $x = 9 m$ . The work done by the force on the body when it reaches (i) $x = 4 m$ and (ii) $x = 7 m$ shall be as given below

21 J and 33 J respectively

21 J and 15 J respectively

42 J and 60 J respectively

42 J and 30 J respectively

From figure Work done $(W) = max$
$W_{4} = 2 [\frac{1}{2} \times 1 \times 6 + 3 \times 6] = 42 J$
$W_{7} = 2 [21 + 3 - 3 - 1 \times 6]$
$= 30 J$

Q. Figure gives the acceleration of a 2.0kg body as it moves from rest along x axis while a variable force acts on it from x=0m to x=9m . The work done by the force on the body when it reaches (i) x=4m and (ii) x=7m shall be as given below