Question

Two arrows are fired horizontally with the same speed of

30.0m/s. Each arrow has a mass of 0.100 kg. One is fireddue east
and the other due south. Find the magnitude anddirection of the
total momentum of this two-arrow system. Specify the direction with
respect to due east.

Answer 1

Step-by-step explanation:

Given

mass of each arrow=0.1 kg

velocity of arrow=30 m/s

One arrow is fired u=due to east and another towards south

Momentum of first arrow

`P_1=0.1\left ( 30\hat{i}\right )=3\hat{i}`

`P_2=0.1\left ( -30\hat{j}\right )=-3\hat{j}`

Total momentum P

`P=P_1+P_2`

`P=3\hat{i}-3\hat{j}`

magnitude
`|P|=√(3^2+3^2)=3√(2)`

direction

`tan\theta =(-3)/(3)`

`\theta =45^(\circ)` clockwise w.r.t to east