Answer:
θ = 66º
Explanation:
This exercise of Newton's second law must be solved in part, let's start by finding the slowing down acceleration of the ball
a = v² / r
the radius of the circle is
sin θ = r / L
r = L sin θ
we substitute
a = v² /L sin θ
now let's write Newton's second law
vertical axis
T_y -W = 0
T_y = W
radial axis
Tₓ = m a (1)
let's use trigonometry for the components of the string tension
cos θ = T_y / T
sin θ = Tₓ / T
Tₓ = T sin θ
we substitute in 1
T sin θ =
T L sin² θ = m v²
we write our system of equations
T cos θ = m g
T L sin ² tea = m v²
we divide the two equations
L = v² / g
(1 -cos²)/ cos θ =
1 - cos² θ = cos θ
cos² θ + 0.97044 cos θ -1 = 0
we change variable cos θ = x
x² + 0.97044 x - 1 =0
x=
since the square root is imaginary there is no real solution to the problem, suppose that the radius is 1 m r = 1 m
T sin θ =
T cos θ = m g
resolved
tan θ =
θ = tan⁻¹ ( 4.75²/ 1 9.81)
θ = 66º
Density
DENSITY is the similar factor that contributes to the formation of surface currents and deep currents.
Explanation:
While salinity and temperatures affected ocean currents, they do so by affecting one property of the ocean waters that form the deep water and surface water currents. This is density. The warmer the oceans waters, the less dense they become hence they upwell to become surface currents (and vice versa). The more concentrated, with salts, the ocean waters are, the denser they become hence sink to become deep oceans currents (and vice versa).
Learn More:
For more on ocean currents check out;
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Answer:
The upper motor neurons synapse in the spinal cord connect with anterior horn cells of lower motor neurons, usually via interneurons. The anterior horn cells are the cell bodies of the lower motor neurons and are located in the grey matter of the spinal cord.
Explanation:
Interneurons are the central nodes of neural circuits, enabling communication between the upper motor neurons, sensory or motor neurons located in the brain and spinal cord and they send signals to lower motor neurons or central nervous system (CNS) in the brain stem and spinal cord . When they get a signal from the upper motor neurons, they send another signal to your muscles to make them contract. They play vital roles in reflexes, neuronal oscillations, and neurogenesis in the adult mammalian brain.
Renshaw cells are among the very first identified interneurons. They are excited by the axon collaterals of the motor neurons. In addition, Renshaw cells make inhibitory connections to several groups of motor neurons.
Work is = to force*displacement which give W=F*d so if 0 force is put on an object the W= 0*d = 0 work, so a is out. for b if force is put on the object but it does not move then W=F*0 (no displacement)= 0 so if there is no movement then no work is done so b is out. for D since W=F*d also says no force is put on the object so W=0*d which would equal 0 work so D is also out. but for c W=F*d and if we assume that F is not = to 0 and d is not equal to 0 then the equation W=F*d would give a number other than 0 so only c will result in a nonzero value for work. in all other cases no work is done. As a side note if a force is applied to an object and the object goes around the world and ends up and the same place that it started then since Work is equal to force * displacement there will still end up with no work being done since W=F*0=0 work (since the object ended up in the same place it started even though it moved the displacement is still 0, so work done will still be 0.
A neutral atom has the same number of protons as it does neutrons.
A. True
B. False
—————-
False