Answer:
the object has a net force acting on it, it will accelerate the object will speed up, slow down, or change direction.
Explanation:
The reaction of radiodecay of carbon C-14 is
C-14 --> N-14 + e- + (ve)
where e- is an electron and (ve) is an electron-type antineutrino.
Basically, when the carbon nucleus (atomic number: 6, mass number: 14) decays, a neutron of the nucleus converts into a proton (therefore, the mass number remains the same, 14, but the atomic number increases by 1, therefore it becomes nitrogen) and releases an electron-antineutrino pair.
So, the correct answer is C), N-14.
<span>NASA and the Mad Science Group of Montreal, Canada, have teamed in an effort to spark the imagination of children, encouraging more youth to pursue careers in science, technology, engineering and math. The two organizations recently signed a Space Act Agreement, officially launching the development of the Academy of Future Space Explorers.</span>
Answer:
Relation between initial speed of bullet and height h is given as
![v = \frac{m + M}{m}\sqrt{2gh}](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7Bm%20%2B%20M%7D%7Bm%7D%5Csqrt%7B2gh%7D)
Explanation:
As we know that system of block and bullet swings up to height h after collision
So we have
![(m + M)gh = \frac{1}{2}(m + M)v_1^2](https://tex.z-dn.net/?f=%28m%20%2B%20M%29gh%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28m%20%2B%20M%29v_1%5E2)
so we have
![v_1 = \sqrt{2gh}](https://tex.z-dn.net/?f=v_1%20%3D%20%5Csqrt%7B2gh%7D)
so speed of the block + bullet just after the impact is given by above equation
Now we also know that there is no force on the system of bullet + block in the direction of motion
So we can use momentum conservation
![mv = (m + M)v_1](https://tex.z-dn.net/?f=mv%20%3D%20%28m%20%2B%20M%29v_1)
now we have
![v = \frac{m + M}{m}\sqrt{2gh}](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7Bm%20%2B%20M%7D%7Bm%7D%5Csqrt%7B2gh%7D)
Answer:
6400 m
Explanation:
You need to use the bulk modulus, K:
K = ρ dP/dρ
where ρ is density and P is pressure
Since ρ is changing by very little, we can say:
K ≈ ρ ΔP/Δρ
Therefore, solving for ΔP:
ΔP = K Δρ / ρ
We can calculate K from Young's modulus (E) and Poisson's ratio (ν):
K = E / (3 (1 - 2ν))
Substituting:
ΔP = E / (3 (1 - 2ν)) (Δρ / ρ)
Before compression:
ρ = m / V
After compression:
ρ+Δρ = m / (V - 0.001 V)
ρ+Δρ = m / (0.999 V)
ρ+Δρ = ρ / 0.999
1 + (Δρ/ρ) = 1 / 0.999
Δρ/ρ = (1 / 0.999) - 1
Δρ/ρ = 0.001 / 0.999
Given:
E = 69 GPa = 69×10⁹ Pa
ν = 0.32
ΔP = 69×10⁹ Pa / (3 (1 - 2×0.32)) (0.001/0.999)
ΔP = 64.0×10⁶ Pa
If we assume seawater density is constant at 1027 kg/m³, then:
ρgh = P
(1027 kg/m³) (9.81 m/s²) h = 64.0×10⁶ Pa
h = 6350 m
Rounded to two sig-figs, the ocean depth at which the sphere's volume is reduced by 0.10% is approximately 6400 m.