Question: How fast was the arrow moving before it joined the block?
Answer:
The arrow was moving at 15.9 m/s.
Explanation:
The law of conservation of energy says that the kinetic energy of the arrow must be converted into the potential energy of the block and arrow after it they join:
![\dfrac{1}{2}m_av^2 = (m_b+m_a)\Delta Hg](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7Dm_av%5E2%20%3D%20%28m_b%2Bm_a%29%5CDelta%20Hg)
where
is the mass of the arrow,
is the mass of the block,
of the change in height of the block after the collision, and
is the velocity of the arrow before it hit the block.
Solving for the velocity
, we get:
![$v = \sqrt{\frac{2(m_b+m_a)\Delta Hg}{m_a} } $](https://tex.z-dn.net/?f=%24v%20%3D%20%5Csqrt%7B%5Cfrac%7B2%28m_b%2Bm_a%29%5CDelta%20Hg%7D%7Bm_a%7D%20%7D%20%24)
and we put in the numerical values
,
![m_b = 1.40kg,](https://tex.z-dn.net/?f=m_b%20%3D%201.40kg%2C)
![\Delta H = 0.4m,](https://tex.z-dn.net/?f=%5CDelta%20H%20%3D%200.4m%2C)
![g= 9.8m/s^2](https://tex.z-dn.net/?f=g%3D%209.8m%2Fs%5E2)
and simplify to get:
![\boxed{ v= 15.9m/s}](https://tex.z-dn.net/?f=%5Cboxed%7B%20v%3D%2015.9m%2Fs%7D)
The arrow was moving at 15.9 m/s
<span>Charge of the glass bead Q = 8.0 x 10^-9 C
Distance d = 2.0 cm = 0.02 m
Coulombs constant K = 8.99 x 10^9 Nm^2/C^2
Electric Field E = k x Q / d^2 = 8.99 x 10^9 x 8.0 x 10^-9 / (0.02)^2
E = 71.92 / 0.0004 = 17.98 x 10^4
The electric field is 1.8 x 10^5 N/C</span>
Answer:
C
Sign-Negative
Explanation:
We are given that
Electric field =
(Radially downward)
Acceleration=
(Upward)
Mass of charge=3 g=
kg
1kg=1000g
We have to find the magnitude and sign of charge would have to be placed on a penny .
By newton's second law
![\sum F_y=ma](https://tex.z-dn.net/?f=%5Csum%20F_y%3Dma)
![\sum F_y=qE-mg](https://tex.z-dn.net/?f=%5Csum%20F_y%3DqE-mg)
Substitute the values then we get
![qE-mg=ma](https://tex.z-dn.net/?f=qE-mg%3Dma)
Substitute the values then we get
![q(100)-3\times 10^{-3}(9.8)=3\times 10^{-3}(0.19)](https://tex.z-dn.net/?f=q%28100%29-3%5Ctimes%2010%5E%7B-3%7D%289.8%29%3D3%5Ctimes%2010%5E%7B-3%7D%280.19%29)
![100q-29.4\times 10^{-3}=0.57\times 10^{-3}](https://tex.z-dn.net/?f=100q-29.4%5Ctimes%2010%5E%7B-3%7D%3D0.57%5Ctimes%2010%5E%7B-3%7D)
![100q=0.57\times 10^{-3}+29.4\times 10^{-3}=29.97\times 10^{-3}](https://tex.z-dn.net/?f=100q%3D0.57%5Ctimes%2010%5E%7B-3%7D%2B29.4%5Ctimes%2010%5E%7B-3%7D%3D29.97%5Ctimes%2010%5E%7B-3%7D)
![q=\frac{29.97\times 10^{-3}}{100}](https://tex.z-dn.net/?f=q%3D%5Cfrac%7B29.97%5Ctimes%2010%5E%7B-3%7D%7D%7B100%7D)
C
Sign of charge =Negative
Because electric force acting in opposite direction of electric field therefore,charge on penny will be negative.
Answer:
The answer is "Choice E".
Explanation:
In this situation the option e is right because its resistance decreases through time, however, the time is the same for the same reason, whereas the sphere deteriorates, somehow it travels shorter distances however if the air resistance becomes are using the amplitude of movement declines, that's why other choices were wrong.