An object of mass 500g, initially at rest acted upon by a variable force where X component varies with X in the manner shown. The velocities of the object at point X = 8 m and X =12 m, would be the respective values of (nearly)

Question

An object of mass 500g, initially at rest acted upon by a variable force where X component varies with X in the manner shown. The velocities of the object at point X = 8 m and X =12 m, would be the respective values of (nearly) (A) 18 m/s and 24.4 m/s (B) 23 m/s and 24.4 m/s (C) 12 m/s and 20.6 m/s (D) 18 m/s and 20.6 m/s

Tardigrade Admin · Accepted Answer

W = Δ KE At x = 8: 130 = (1/2)((1/2)) v2 ⇒ v = 2√130 = 22.8 ms-1 For x = 12: v = 20.6 ms-1

Q. An object of mass 500g, initially at rest acted upon by a variable force where X component varies with X in the manner shown. The velocities of the object at point X = 8 m and X =12 m, would be the respective values of (nearly)

18 m/s and 24.4 m/s

23 m/s and 24.4 m/s

12 m/s and 20.6 m/s

18 m/s and 20.6 m/s

$W = Δ K E$
At $x = 8 : 130 = \frac{1}{2} (\frac{1}{2}) v^{2}$
$\Rightarrow v = 2130 = 22.8 m s^{- 1}$
For $x = 12 : v = 20.6 m s^{- 1}$

Q. An object of mass 500g, initially at rest acted upon by a variable force where X component varies with X in the manner shown. The velocities of the object at point X = 8 m and X =12 m, would be the respective values of (nearly)

18 m/s and 24.4 m/s

23 m/s and 24.4 m/s

12 m/s and 20.6 m/s

18 m/s and 20.6 m/s

W=ΔKE At x=8:130=21​(21​)v2 ⇒v=2130​=22.8ms−1 For x=12:v=20.6ms−1

$W = Δ K E$
At $x = 8 : 130 = \frac{1}{2} (\frac{1}{2}) v^{2}$
$\Rightarrow v = 2130 = 22.8 m s^{- 1}$
For $x = 12 : v = 20.6 m s^{- 1}$