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Svetach [21]
3 years ago
5

vA child is in danger of drowning in the Merimac river. The Merimac river has a current of 3.1 km/hr to the east. The child is 0

.6 km from the shore and 2.5 km upstream from the dock. A rescue boat with speed 24.8 km/hr (with respect to the water) sets off from the dock at the optimum angle to reach the child as fast as possible. How far from the dock does the boat re?
Physics
1 answer:
ikadub [295]3 years ago
4 0

Answer:

d = 2.26 km

Explanation:

Let the child is moving with speed same as the speed of water flow

So here the position of child with respect to flow must be zero

And if the boat start at an angle with the vertical

so its relative speed with flow of water is given as

v_x = 24.8 sin\theta

v_y = 24.8 cos\theta

now the time to reach the child is given as

\frac{0.6}{24.8 cos\theta} = \frac{2.5}{24.8 sin\theta }

so now we have

\theta = 76.5 degree

So the time to catch the child is given as

t = \frac{0.6}{24.8 cos78.2}

t = 0.104 h

So distance moved by it in 0.104 h

distance moved by the boat in upstream direction given as

x = (24.8 sin 74.8 - 3.1)(0.104)

x = 2.18 km

In y direction the displacement of boat is

y = 0.6 km

net displacement of the ball is given as

d = \sqrt{x^2 + y^2}

d = \sqrt{2.18^2 + 0.6^2}

d = 2.26 km

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Answer:

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(c) Net work done = 0 j

Explanation:

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Force applied on the box F = 60 N

We have have given that velocity is constant so acceleration will be zero

So to applied force will be utilized in balancing the friction force

So friction force F_{friction}=50N

Work done by friction force W_{friction}=F_{friction}\times d=50\times 6=300j

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So net work done = 300-300 = 0 j

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Explanation:

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A) The kinetic energy of an object is given by:
K= \frac{1}{2}mv^2
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b) the increase in gravitational potential energy of the lion is given by:
\Delta U = mg \Delta h
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c) When the fox reaches the top of the tree, its gravitational potential energy is
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3 years ago
Two coaxial conducting cylindrical shells have equal and opposite charges. The inner shell has charge +q and an outer radius a,
Leviafan [203]

Answer:

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Explanation:

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I believe the answer is A, temperature and number of particles are constant. Correct me if i'm wrong :)
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