Answer:
MRI
Explanation:
Magnetic Resonance Imaging, furnishes the most detailed picture of brain structure. MRI produces the most point by point picture of the cerebrum. MRI examines by using attractive fields and radio waves to create PC produced pictures that recognize the structures inside the mind. It gives the most point by point and a detailed image of the brain structure.
Answer:
<em>18808.7 m/s^2</em>
Explanation:
Given
Length of the pendulum L = 1.44 m
Number of complete cycles of oscillation n = 1.10 x 10^2
total time of oscillation t = 2.00 x 10^2 s
The period of the T = n/t
T = (1.10 x 10^2)/(2.00 x 10^2) = 0.55 ^-s
The period of a pendulum is gotten as
T = 
where g is the acceleration due to gravity
substituting values, we have
0.55 = 
0.0875 = 
squaring both sides of the equation, we have
7.656 x 10^-3 = 144/g
g = 144/(7.656 x 10^-3) = <em>18808.7 m/s^2</em>
Answer:
a)
, b) 
Explanation:
a) The maximum height is obtained with the help of the First and Second Derivative Tests:
First Derivative



Second Derivative
(absolute maximum)
The maximum height reached by the ball is:


b) The time required by the ball to hit the ground is:




Just one root offers a solution that is physically reasonable:

The velocity of the ball when it hits the ground is:


Answer:
block K = 29.39 J and spring #1 Ke = 360 J
Explanation:
In this problem we have that the elastic energy of the spring becomes part kinetic energy and the part in work against the force of friction, so, to use the law of conservation of energy, the decrease in energy is the rubbing force work
= Ef - E₀
Let's look for the energies
Initial
E₀ = Ke = ½ k₁ x₁²
Final, this is just before starting to compress the spring
Ef = Ke = ½ m v²
The work of the rubbing force is
= -fr x
Let's write Newton's second law the y axis
N-W = 0
N = W
fr = μ N
fr = μ mg
Let's replace
-μ mg x = ½ m v² - ½ k₁ x₁²
v² = 2/m (½ k₁ x1₁² -μ mg x)
v² = 2/6 (½ 2000 0.6²2 - 0.5 6 9.8 1) = 1/3 (360 - 29.4)
v = 3.13 m / s
With this value we calculate the energy of the block
K = ½ m v²
K = ½ 6 3.13²
K = 29.39 J
Calculate eenrgy of the spring ke 1
Ke = ½ k₁ x₁²
Ke = ½ 2000 0.60²
Ke = 360 J
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