12.A 48.0 kg woman, riding on a 12 kg cart, is moving east at 8.0 m/s. The
1 answer:
The final velocity of the cart is 20.0 m/s eastward
Explanation:
If there are no external forces acting on the system, the total momentum of the woman+cart system must be conserved. Therefore, we can write:
where:
m = 12 kg is the mass of the cart
M = 48 kg is the mass of the woman
u = 8.0 m/s is the initial velocity of the woman and the cart (they move together). We take east as positive direction
V = 5.0 m/s is the final velocity of the woman
v is the final velocity of the cart
Solving for v, we find:
And the positive sign indicates that the direction is eastward.
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Answer:
The answer is below
Explanation:
Firstly, the frequency is received by the wall and then it is reflected and received by the bat.
The frequency received by the wall (f') is given by:
f' =
The - sign is used when the observer is moving away from the source and + sign when the observer is moving towards the source.
Since the bat is moving towards the wall, we use a positive sign. Hence:
f' =
The frequency reflected and received by the bat f" is:
f'' =
- sign is used when the source moves toward the observer and + is used when the source moves away
since the bat moves towards the wall, then::
f'' =
v = speed of sound in air = 331 m/s, vo = velocity of observer = 5 m/s, vs = velocity of source = 5 m/s. Therefore:
a)The total distance she walks will be 1100 m.
b)The magnitude and direction of the budgie's path will be 854.4 m at 69.44°.
c)Sally's average speed for the journey will be 2.82 m/sec
d)The average velocity of Sally's budgie willl be 2.19 m/sec North of East.
<h3>What is displacement?</h3>Displacement is defined as the shortest distance between the two points.
Distance travelled in north direction,d₁ = 8.0 x 10² m
Time elapsed travelled in north direction,t₁ = 5.0 minutes
Distance travelled in east direction,d₂ = 0.30 km = 3.0 × 10² m
Time elapsed travelled in east direction,t₂= 1.5 minutes
The total distance she walks,d =? m
The magnitude and direction of the budgies path will be, D
Sally's average speed for the journey,
The average velocity of Sally's budgie,
a)
The total distance she walks is found as;
d=d₁+d₂
d=800 m +300 m
d = 1100 m
b)
The magnitude and direction of the budgies path will be;
The direction of the displacement is;
c)journey is found as;
Sally's average speed for the
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d)
The average velocity of Sally's budgie is found as;
North of east
Hence, the total distance she walks, the magnitude and direction of the budgie's path, Sally's average speed, and the average velocity of Sally's budgie will be 1100 m,854.4 m at 69.44°,2.82 m/sec, and 2.19 m/sec North of East.
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