Answer:
A) θ = 13.1º , B) E
Explanation:
A) For this exercise, let's use Newton's second law, let's set a reference frame where the axis ax is in the radial direction and is horizontal, the axis y is vertical.
In this reference system the only force that we must decompose is the Normal one, let's use trigonometry
sin θ = Nₓ / N
cos θ =
/ N
Nₓ = N sin θ
Ny = N cos θ
x-axis (radial)
Nₓ = m a
where the acceleration is centripetal
a = v² / R
we substitute
-N sin θ = -m v² / R (1)
the negative sign indicates that the force and acceleration towards the center of the circle
y-axis (Vertical)
Ny - W = 0
N cos θ = mg
N = mg / cos θ
we substitute in 1
mg / cos θ sin θ = m v² / R
g tan θ = v² / R
θ = tan⁻¹ (v² / gR)
we calculate
θ = tan⁻¹ (25² / 9.8 274)
θ = 13.1º
B) when comparing the equations the correct one is E
Answer:
Some work input is lost to friction
Explanation:
The efficiency of a machine is defined as:
(1)
where
is the work output
is the work input
Due to the law of conservation of energy, the work output can never be larger than the work input (because energy cannot be created). Moreover, in real machines part of the work input is lost due to the presence of frictions: as a result, part of the energy in input is converted into thermal energy or other forms of energy, and so the work output is smaller than the work input, and so the ratio (1) becomes less than 1, and so the efficiency is less than 100%.
Explanation:
It is given that,
Relativistic Mass of the stone, m₀ = 0.6
Mass, ![m=0.76\ kg](https://tex.z-dn.net/?f=m%3D0.76%5C%20kg)
Relativistic mass is given by :
.........(1)
Where
c is the speed of light
On rearranging equation (1) we get :
![v^2=c^2(1-(\dfrac{m_o}{m})^2)](https://tex.z-dn.net/?f=v%5E2%3Dc%5E2%281-%28%5Cdfrac%7Bm_o%7D%7Bm%7D%29%5E2%29)
![v=c\sqrt{ (1-(\dfrac{m_o}{m})^2)}](https://tex.z-dn.net/?f=v%3Dc%5Csqrt%7B%20%281-%28%5Cdfrac%7Bm_o%7D%7Bm%7D%29%5E2%29%7D)
![v=c\sqrt{ (1-(\dfrac{0.6}{0.76})^2)}](https://tex.z-dn.net/?f=v%3Dc%5Csqrt%7B%20%281-%28%5Cdfrac%7B0.6%7D%7B0.76%7D%29%5E2%29%7D)
v = 0.61378 c
or
v = 0.6138 c
So, the correct option is (c). Hence, this is the required solution.
Answer:
0.2kg/0.0016m^3
Explanation:
200g is 0.2 kg
50*4*8 is equivalent to 1600 cubic centimeters which is also equivalent to 0.0016 cubic meters.
The SI unit for density is kg per cubic meter
So now we have 0.2kg/0.0016m^3
I hoped this helped, and if it did please give me brainliest
Velocity_slowing down_284cm per sec sw