Answer:
2/7
Explanation:
The Rotational Kinetic Energy is given as RKE = 1/2 * I * w², where
w = v/R and
I = 2/5mR²
The Translational Kinetic Energy is given as TKE = 1/2 * m * v²
RKE = 1/2 * 2/5mR² * (v/R)²
RKE = 1/2 * 2/5mR² * v²/R²
RKE = 1/5mv²
To get the ratio, we use the relation
RKE / (TKE + RKE)
and thus, we have
1/5mv² / (1/2mv² + 1/5mv²)
1/5mv² / 7/10mv²
1/5 ÷ 7/10
1/5 * 10/7
2/7
Therefore, the ratio of RKE to TKE is 2/7
