A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with its centre moving at a speed of 5.00 cm/s. Its kinetic energy is :

Question

A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with its centre moving at a speed of 5.00 cm/s. Its kinetic energy is : (A) 6.25 × 10-4J (B) 1.13 × 10-3J (C) 8.75 × 10-4J (D) 8.75 × 10-3J

Tardigrade Admin · Accepted Answer

m = 0.5 kg, v = 5 cm/s KE in rolling =(1/2)mv2+(1/2) Iω2 =(1/2)mv2(1+(K2/R2)) =8.75×10-4 J

Q. A uniform sphere of mass $500 g$ rolls without slipping on a plane horizontal surface with its centre moving at a speed of $5.00 c m / s$ . Its kinetic energy is :

$6.25 \times 1 0^{- 4} J$

$1.13 \times 1 0^{- 3} J$

$8.75 \times 1 0^{- 4} J$

$8.75 \times 1 0^{- 3} J$

$m = 0.5 k g, v = 5 c m / s$
$K E$ in rolling $= \frac{1}{2} m v^{2} + \frac{1}{2} I ω^{2}$
$= \frac{1}{2} m v^{2} (1 + \frac{K ^{2}}{R ^{2}})$
$= 8.75 \times 1 0^{- 4} J$

Q. A uniform sphere of mass 500g rolls without slipping on a plane horizontal surface with its centre moving at a speed of 5.00cm/s. Its kinetic energy is :

6.25×10−4J

1.13×10−3J

8.75×10−4J

8.75×10−3J