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Yakvenalex [24]
3 years ago
14

Name two elements would be incorrectly placed if the periodic table was ordered by atomic mass rather than atomic number

Physics
1 answer:
soldier1979 [14.2K]3 years ago
7 0
Well first i found three they are silver cadmium and indium<span />
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John says that the value of the function cos[ω(t + T) + ϕ], obtained one period T after time t, is greater than cos(ωt + ϕ) by 2
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Answer:

No one is right

Explanation:

John Case:

The function cos(\omega t +\phi) is defined between -1 and 1, So it is not possible obtain a value 2\pi greater.  

In addition, if you  move the function cosine a T Value, and T is the Period,  the function take the same value due to the cosine is a periodic function.

Larry case:

Is you have f=1+cos(\omega t +\phi), the domain of this is [0,2].

it is equivalent to adding 1 to the domain of the f=1+cos(\omega t +\phi), and its mean that the function f=cos(\omega t +\phi), in general, is not greater than cos(\omega t +\phi).

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A rock is thrown off a cliff at an angle of 53° with respect to the horizontal. The cliff is 100 m high. The initial speed of th
Nadusha1986 [10]

(a) 129.3 m

The motion of the rock is a projectile motion, consisting of two indipendent motions along the x- direction and the y-direction. In particular, the motion along the x- (horizontal) direction is a uniform motion with constant speed, while the motion along the y- (vertical) direction is an accelerated motion with constant acceleration g=-9.8 m/s^2 downward.

The maximum height of the rock is reached when the vertical component of the velocity becomes zero. The vertical velocity at time t is given by

v(t) = v_0 sin \theta +gt

where

v_0 = 30 m/s is the initial velocity of the rock

\theta=53^{\circ} is the angle

t is the time

Requiring v(t)=0, we find the time at which the heigth is maximum:

0=v_0 sin \theta + gt\\t=\frac{-v_0 sin \theta}{g}=-\frac{(30)(sin 53^{\circ})}{(-9.8)}=2.44 s

The heigth of the rock at time t is given by

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

Where h=100 m is the initial heigth. Substituting t = 2.44 s, we find the maximum height of the rock:

y=100+(30)(sin 53^{\circ})(2.44)+\frac{1}{2}(-9.8)(2.44)^2=129.3 m

(b) 44.1 m

For this part of the problem, we just need to consider the horizontal motion of the rock. The horizontal displacement of the rock at time t is given by

x(t) = (v_0 cos \theta) t

where

v_0 cos \theta is the horizontal component of the velocity, which remains constant during the entire motion

t is the time

If we substitute

t = 2.44 s

Which is the time at which the rock reaches the maximum height, we find how far the rock has moved at that time:

x=(30)(cos 53^{\circ})(2.44)=44.1 m

(c) 7.58 s

For this part, we need to consider the vertical motion again.

We said that the vertical position of the rock at time t is

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

By substituting

y(t)=0

We find the time t at which the rock reaches the heigth y=0, so the time at which the rock reaches the ground:

0=100+(30)(sin 53^{\circ})t+\frac{1}{2}(-9.8)t^2\\0=100+23.96t-4.9t^2

which gives two solutions:

t = -2.69 s (negative, we discard it)

t = 7.58 s --> this is our solution

(d) 136.8 m

The range of the rock can be simply calculated by calculating the horizontal distance travelled by the rock when it reaches the ground, so when

t = 7.58 s

Since the horizontal position of the rock is given by

x(t) = (v_0 cos \theta) t

Substituting

v_0 = 30 m/s\\\theta=53^{\circ}

and t = 7.58 s we find:

x=(30)(cos 53^{\circ})(7.58)=136.8 m

(e) (36.1 m, 128.3 m), (72.2 m, 117.4 m), (108.3 m, 67.4 m)

Using the equations of motions along the two directions:

x(t) = (v_0 cos \theta) t

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

And substituting the different times, we find:

x(2.0 s)=(30)(cos 53^{\circ})(2.0)=36.1 m

y(2.0 s)= 100+(23.96)(2.0)-4.9(2.0)^2=128.3 m

x(4.0 s)=(30)(cos 53^{\circ})(4.0)=72.2 m

y(4.0 s)= 100+(23.96)(4.0)-4.9(4.0)^2=117.4 m

x(6.0 s)=(30)(cos 53^{\circ})(6.0)=108.3 m

y(6.0 s)= 100+(23.96)(6.0)-4.9(6.0)^2=67.4 m

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Look it up on google copy and paste
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