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shepuryov [24]
3 years ago
8

Kara drops a rock from the edge of a cliff and it takes 7.00 s for the rock to reach the ground. What is the cliff’s height?

Physics
1 answer:
stepan [7]3 years ago
5 0

Answer:

h = 204.1 m

Explanation:

Given that,

Time taken to reach the ground, t = 7 s

We need to find the height of the cliff. We can find it using second equation of kinematics as follows :

h=ut+\dfrac{1}{2}at^2

Here,

u = 0 (at rest initially)

a = g

So,

h=\dfrac{1}{2}gt^2\\\\h=\dfrac{1}{2}\times 9.8\times 7^2\\\\h=204.1\ m

So, the cliff's height is 204.1 m.

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The water side of the wall of a 60-m-long dam is a quarter-circle with a radius of 7 m. Determine the hydrostatic force on the d
tamaranim1 [39]

Answer:

26852726.19\ \text{N}

57.52^{\circ}

Explanation:

r = Radius of circle = 7 m

w = Width of dam = 60 m

h = Height of the dam will be half the radius = \dfrac{r}{2}

A = Area = rw

V = Volume = w\dfrac{\pi r^2}{4}

Horizontal force is given by

F_x=\rho ghA\\\Rightarrow F_x=1000\times 9.81\times \dfrac{7}{2}\times  7\times 60\\\Rightarrow F_x=14420700\ \text{N}

Vertical force is given by

F_y=\rho gV\\\Rightarrow F_y=1000\times 9.81\times 60\times \dfrac{\pi 7^2}{4}\\\Rightarrow F_y=22651982.59\ \text{N}

Resultant force is

F=\sqrt{F_x^2+F_y^2}\\\Rightarrow F=\sqrt{14420700^2+22651982.59^2}\\\Rightarrow F=26852726.19\ \text{N}

The hydrostatic force on the dam is 26852726.19\ \text{N}.

The direction is given by

\theta=\tan^{-1}\dfrac{F_y}{F_x}\\\Rightarrow \theta=\tan^{-1}\dfrac{22651982.59}{14420700}\\\Rightarrow \theta=57.52^{\circ}

The line of action is 57.52^{\circ}.

7 0
3 years ago
A 81 kg block is released at a 3.8 m height. the track is frictionless. the block travels down the track, hits a massless spring
Alenkinab [10]
Since the track is friction less, block’s kinetic energy at the bottom of the track is equal to its potential energy at the top of the track. 
PE = 81 * 9.8 * 3.8 = 3016.44 J
 Work = 1/2 * 1888 * d^2  
PE = Kinetic energy at the base.
 1/2 * 1888 * d^2 = 3016.44
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Why are you able to make someone on a swing have very large swings by only exerting very small forces on them?
Allisa [31]
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3 years ago
In separate experiments, a large number of particles (all with the same charge, but with a wide variety of masses and speeds) ar
likoan [24]

Answer:

  they have the same mass

Explanation:

The force applied by the field is a function of the charge and velocity, so the acceleration experienced by a particle will be dependent upon its mass. Particles in orbits with the same radius are exhibiting the same acceleration, so must have the same mass.

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3 years ago
If pizza is round will it roll off a cliff?
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