A 0.5 kg fish,hooked as shown below,starts to swim away at a speed of 3 m/s.The angular momentum of the fish relative to the hand holding the fishing rod is about
A) $3 \frac { \mathrm { kg } \cdot \mathrm { m } ^ { 2 } } { \mathrm {~s} }$ .
B) $6 \frac { \mathrm { kg } \cdot \mathrm { m } ^ { 2 } } { \mathrm {~s} }$ .
C) $17 \frac { \mathrm { kg } \cdot \mathrm { m } ^ { 2 } } { \mathrm {~s} }$ .
D) $30 \frac { \mathrm { kg } \cdot \mathrm { m } ^ { 2 } } { \mathrm {~s} }$ .
E) $60 \frac { \mathrm { kg } \cdot \mathrm { m } ^ { 2 } } { \mathrm {~s} }$ .

Question

A 0.5 kg fish,hooked as shown below,starts to swim away at a speed of 3 m/s.The angular momentum of the fish relative to the hand holding the fishing rod is about 
A) $3 \frac { \mathrm { kg } \cdot \mathrm { m } ^ { 2 } } { \mathrm {~s} }$ . 
B) $6 \frac { \mathrm { kg } \cdot \mathrm { m } ^ { 2 } } { \mathrm {~s} }$ . 
C) $17 \frac { \mathrm { kg } \cdot \mathrm { m } ^ { 2 } } { \mathrm {~s} }$ . 
D) $30 \frac { \mathrm { kg } \cdot \mathrm { m } ^ { 2 } } { \mathrm {~s} }$ . 
E) $60 \frac { \mathrm { kg } \cdot \mathrm { m } ^ { 2 } } { \mathrm {~s} }$ .

Quizplus · Accepted Answer

The angular momentum of an object can be calculated using the equation L = Iω, where L is the angular momentum, I is the moment of inertia of the object, and ω is the angular velocity of the object. In this case, we can assume that the fish is a point object, so its moment of inertia is simply its mass times the square of its distance from the axis of rotation (which is the hand holding the fishing rod).

The fish is swimming away from the hand, so its velocity is perpendicular to the line connecting the fish to the hand. This means that the fish is moving in a circular path around the hand, and its angular velocity can be calculated as v/r, where v is the fish's velocity and r is its distance from the hand.

We have all the information we need to calculate the angular momentum of the fish relative to the hand:

L = Iω = mr^2 (v/r) = mvr

Plugging in the values, we get

L = (0.5 kg)(3 m/s)(1.5 m) = 2.25 kg m^2/s

Converting this to hexadecimal notation gives

11ea99f6_d736_35bb_8bb6_ab1a4f114fdf

which is closest to choice A.

A 05 Kg Fish,hooked as Shown Below,starts to Swim Away at at a Speed