Answer:
261.3 m/s
Explanation:
Mass of bullet=m=15 g=![\frac{15}{1000}=0.015 kg](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B1000%7D%3D0.015%20kg)
1 kg=1000g
Mass of block=M=3 kg
d=0.086 m
Total mass =M+m=3+0.015=3.015 kg
K.E at the time strike=Gravitational potential energy at the end of swing
![\frac{1}{2}(m+M)^2V^2=(m+M)gh](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28m%2BM%29%5E2V%5E2%3D%28m%2BM%29gh)
Using g=![9.8m/s^2](https://tex.z-dn.net/?f=9.8m%2Fs%5E2)
Substitute the values
![\frac{1}{2}(3.015)V^2=3.015\times 9.8\times 0.086](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%283.015%29V%5E2%3D3.015%5Ctimes%209.8%5Ctimes%200.086)
![V^2=\frac{2\times 3.015\times 9.8\times 0.086}{3.015}](https://tex.z-dn.net/?f=V%5E2%3D%5Cfrac%7B2%5Ctimes%203.015%5Ctimes%209.8%5Ctimes%200.086%7D%7B3.015%7D)
![V=\sqrt{2\times 3.015\times 9.8\times 0.086}}](https://tex.z-dn.net/?f=V%3D%5Csqrt%7B2%5Ctimes%203.015%5Ctimes%209.8%5Ctimes%200.086%7D%7D)
![V=1.3m/s](https://tex.z-dn.net/?f=V%3D1.3m%2Fs)
Velocity after collision=V=1.3 m/s
Velocity of block=v'=0
Using conservation law of momentum
![mv+Mv'=(m+M)V](https://tex.z-dn.net/?f=mv%2BMv%27%3D%28m%2BM%29V)
Using the formula
![0.015v+3(0)=3.015(1.3)](https://tex.z-dn.net/?f=0.015v%2B3%280%29%3D3.015%281.3%29)
![0.015v=3.015(1.3)](https://tex.z-dn.net/?f=0.015v%3D3.015%281.3%29)
![v^2=\frac{3.015(1.3)}{0.015}=261.3](https://tex.z-dn.net/?f=v%5E2%3D%5Cfrac%7B3.015%281.3%29%7D%7B0.015%7D%3D261.3)
![v=261.3 m/s](https://tex.z-dn.net/?f=v%3D261.3%20m%2Fs)
Answer:
7.00 m
Explanation:
Given:
v₀ = 2.00 m/s
v = 5.00 m/s
a = 1.50 m/s²
Find: Δx
v² = v₀² + 2aΔx
(5.00 m/s)² = (2.00 m/s)² + 2(1.50 m/s²)Δx
Δx = 7.00 m
V = 8 * 10^2 km/h = 800km/h
S= 1,8* 10^3 km = 1800km
t = ?
v = S/t
t = S/v
t = 1800km/ 800km/h
t ≈ 2,25h (135min)
Galaxies are sprawling systems of dust, gas, dark matter, and anywhere from a million to a trillion stars that are held together by gravity. Nearly all large galaxies are thought to also contain supermassive black holes at their centers.
Answer:
nope don't think so
Explanation:
the heat causes the molecules to move faster therefore expanding in watever it the air is in