Answer:
point c
Explanation:
the cart has accelerated and is at the lowest point on the path .
consider the acceleration due to gravity converting potential to kinetic energy
Answer:
C
Explanation:
Gravity is the main reason that make our planets to pull each other
Explanation:
We know that the relation between volume and density is as follows.
Volume = ![\frac{\text{mass}}{\text{density}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bmass%7D%7D%7B%5Ctext%7Bdensity%7D%7D)
So, V = ![\frac{10^{-3}}{19.3 \times 10^{3} kg/m^{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B10%5E%7B-3%7D%7D%7B19.3%20%5Ctimes%2010%5E%7B3%7D%20kg%2Fm%5E%7B3%7D%7D)
= ![5.181 \times 10^{-8} m^{3}](https://tex.z-dn.net/?f=5.181%20%5Ctimes%2010%5E%7B-8%7D%20m%5E%7B3%7D)
Now, we will calculate the area as follows.
Area = ![\frac{\text{volume}}{\text{length}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bvolume%7D%7D%7B%5Ctext%7Blength%7D%7D)
= ![\frac{5.181 \times 10^{-8} m^{3}}{2.4 \times 10^{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B5.181%20%5Ctimes%2010%5E%7B-8%7D%20m%5E%7B3%7D%7D%7B2.4%20%5Ctimes%2010%5E%7B3%7D%7D)
= ![2.15 \times 10^{-11} m^{2}](https://tex.z-dn.net/?f=2.15%20%5Ctimes%2010%5E%7B-11%7D%20m%5E%7B2%7D)
Formula to calculate the resistance is as follows.
R = ![\rho \frac{l}{A}](https://tex.z-dn.net/?f=%5Crho%20%5Cfrac%7Bl%7D%7BA%7D)
= ![\frac{2.44 \times 10^{-8} \times 2400}{}2.15 \times 10^{-11}}](https://tex.z-dn.net/?f=%5Cfrac%7B2.44%20%5Ctimes%2010%5E%7B-8%7D%20%5Ctimes%202400%7D%7B%7D2.15%20%5Ctimes%2010%5E%7B-11%7D%7D)
= ![2.71 \times 10^{6} ohm](https://tex.z-dn.net/?f=2.71%20%5Ctimes%2010%5E%7B6%7D%20ohm)
Thus, we can conclude that the resistance of given wire is
.
Answer:
a. A = 0.1656 m
b. % E = 1.219
Explanation:
Given
mB = 4.0 kg , mb = 50.0 g = 0.05 kg , u₁ = 150 m/s , k = 500 N / m
a.
To find the amplitude of the resulting SHM using conserver energy
ΔKe + ΔUg + ΔUs = 0
¹/₂ * m * v² - ¹/₂ * k * A² = 0
A = √ mB * vₓ² / k
vₓ = mb * u₁ / mb + mB
vₓ = 0.05 kg * 150 m / s / [0.050 + 4.0 ] kg = 1.8518
A = √ 4.0 kg * (1.852 m/s)² / (500 N / m)
A = 0.1656 m
b.
The percentage of kinetic energy
%E = Es / Ek
Es = ¹/₂ * k * A² = 500 N / m * 0.1656²m = 13.72 N*0.5
Ek = ¹/₂ * mb * v² = 0.05 kg * 150² m/s = 1125 N
% E = 13.72 / 1125 = 0.01219 *100
% E = 1.219
The advantage is that we do not run out of resources and a disadvantage is that is dangerous when a “human” gets too close and gets sick by the radiation.