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MArishka [77]
3 years ago
7

If you stand at the edge of a cliff that is 75 m high and throw a rock directly up into the air with a velocity of 20 m/s, at wh

at time will the rock hit the ground? (note: the quadratic formula will give two answers, but only one of them is reasonable.)
Physics
2 answers:
lesya [120]3 years ago
5 0

Answer:

  At time 6.45 seconds rock will hit ground.  

Explanation:

We have equation of motion , s= ut+\frac{1}{2} at^2, s is the displacement, u is the initial velocity, a is the acceleration and t is the time.

 Let us take up direction as positive, so displacement = -75 m, initial velocity = 20 m/s, acceleration = acceleration due to gravity = -9.8m/s^2

 Substituting

    -75= 20*t-\frac{1}{2} *9.8*t^2\\ \\ 4.9t^2-20t-75=0

    t = 6.45 seconds or t =-2.37 seconds

    Since negative time is not possible, t = 6.45 seconds.

    So at time 6.45 seconds rock will hit ground.

My name is Ann [436]3 years ago
4 0

The vertical position of the rock is given by:

y(t)=h+v_0 t -\frac{1}{2} gt^2

where

h=75 m is the initial height

v0=20 m/s is the initial vertical velocity

g=9.81 m/s^2 is the acceleration due to gravity

The problem asks to find the time t at which the rock hits the ground, so the time t at which y(t)=0, so the equation above becomes:

75 + 20 t - 4.9t^2 =0

Which has two solutions:

t=-2.37 s

t=6.45 s

The first solution is a negative time so it has no physical meaning, therefore the correct answer is t=6.45 s.


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1) The mass of the continent is 3.3\cdot 10^{21}kg

2) The kinetic energy of the continent is 1683 J

3) The speed of the jogger must be 6.57 m/s

Explanation:

1)

The continent can be represented as a slab of size

d=5850 km = 5.85\cdot 10^6 m

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t = 35 km = 3.5\cdot 10^4 m

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V=d^2 t = (5.85\cdot 10^6)^2(3.5\cdot 10^4)=1.20\cdot 10^{18} m^3

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We have to convert into SI units first, as follows:

v=3.2 \frac{cm}{year} \cdot \frac{1}{100 cm/m} \cdot \frac{1}{(365 d/y)(24h/d)(60min/h)(60 s/min)}=1.01\cdot 10^{-9} m/s

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m=3.3\cdot 10^{21} kg

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K=\frac{1}{2}(3.3\cdot 10^{21})(1.01\cdot 10^{-9})^2=1683 J

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Here we have a jogger having the same kinetic energy of the continent, so

K=1683 J

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m = 78 kg is the mass of the jogger

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We can therefore re-arrange the equation to find the speed of the man, and we get:

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Learn more about kinetic energy:

brainly.com/question/6536722

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