Explanation:
a) Power = work / time = force × distance / time
P = Fd/t
P = (85 kg × 9.8 m/s²) (4.6 m) / (12 s)
P ≈ 319 W
b) P = Fd/t
0.70 (319 W) = (m × 9.8 m/s²) (4.6 m) / (9.6 s)
m = 47.6 kg
Under water turbans that are placed at the above to middle of the ocean they are used to capture kinetic motion
Answer:
The coupled velocity of both the blocks is 1.92 m/s.
Explanation:
Given that,
Mass of block A, ![m_1=5\ kg](https://tex.z-dn.net/?f=m_1%3D5%5C%20kg)
Initial speed of block A, ![u_1=5\ m/s](https://tex.z-dn.net/?f=u_1%3D5%5C%20m%2Fs)
Mass of block B, ![m_2=8\ kg](https://tex.z-dn.net/?f=m_2%3D8%5C%20kg)
Initial speed of block B, ![u_2=0](https://tex.z-dn.net/?f=u_2%3D0)
It is mentioned that if the two blocks couple together after collision. We need to find the common velocity immediately after collision. We know that due to coupling, it becomes the case of inelastic collision. Using the conservation of linear momentum. Let V is the coupled velocity of both the blocks. So,
![m_1u_1+m_2u_2=(m_1+m_2)V\\\\V=\dfrac{m_1u_1+m_2u_2}{(m_1+m_2)}\\\\V=\dfrac{5\times 5+0}{(5+8)}\\\\V=1.92\ m/s](https://tex.z-dn.net/?f=m_1u_1%2Bm_2u_2%3D%28m_1%2Bm_2%29V%5C%5C%5C%5CV%3D%5Cdfrac%7Bm_1u_1%2Bm_2u_2%7D%7B%28m_1%2Bm_2%29%7D%5C%5C%5C%5CV%3D%5Cdfrac%7B5%5Ctimes%205%2B0%7D%7B%285%2B8%29%7D%5C%5C%5C%5CV%3D1.92%5C%20m%2Fs)
So, the coupled velocity of both the blocks is 1.92 m/s. Hence, this is the required solution.
Answer:
c = 1163.34 J/kg.°C
Explanation:
Specific heat capacity:
"Specific heat capacity is the amount of heat energy required to raise the temperature of a substance per unit of mass. The specific heat capacity of a material is a physical property."
Use this equation:
mcΔT = ( mw c + mAl cAl ) ΔT'
Rearranging the equation to find the specific heat (c) you get this:
c = (( mw c + mAl cAl ) ΔT') / (mΔT)
c = (( 0.285 (4186) + (0.15)(900)) (32 -25.1)) / ((0.125) (95 - 32))
c = 1163.34 J/kg.°C
Answer:
![W=K_f-K_i](https://tex.z-dn.net/?f=W%3DK_f-K_i)
Explanation:
The work done on a particle by external forces is defined as:
![W=\int\limits^{r_f}_{r_i} {F\cdot dr} \,](https://tex.z-dn.net/?f=W%3D%5Cint%5Climits%5E%7Br_f%7D_%7Br_i%7D%20%7BF%5Ccdot%20dr%7D%20%5C%2C)
According to Newton's second law
. Thus:
![W=\int\limits^{r_f}_{r_i}{ma\cdot dr} \,\\](https://tex.z-dn.net/?f=W%3D%5Cint%5Climits%5E%7Br_f%7D_%7Br_i%7D%7Bma%5Ccdot%20dr%7D%20%5C%2C%5C%5C)
Acceleration is defined as the derivative of the speed with respect to time:
![W=m\int\limits^{r_f}_{r_i}{\frac{dv}{dt}\cdot dr} \,\\\\W=m\int\limits^{r_f}_{r_i}{dv \cdot \frac{dr}{dt}} \,](https://tex.z-dn.net/?f=W%3Dm%5Cint%5Climits%5E%7Br_f%7D_%7Br_i%7D%7B%5Cfrac%7Bdv%7D%7Bdt%7D%5Ccdot%20dr%7D%20%5C%2C%5C%5C%5C%5CW%3Dm%5Cint%5Climits%5E%7Br_f%7D_%7Br_i%7D%7Bdv%20%5Ccdot%20%5Cfrac%7Bdr%7D%7Bdt%7D%7D%20%5C%2C)
Speed is defined as the derivative of the position with respect to time:
![W=m\int\limits^{v_f}_{v_i} v \cdot dv \,](https://tex.z-dn.net/?f=W%3Dm%5Cint%5Climits%5E%7Bv_f%7D_%7Bv_i%7D%20v%20%5Ccdot%20dv%20%5C%2C)
Kinetic energy is defined as
:
![W=m\frac{v_f^2}{2}-m\frac{v_i^2}{2}\\W=K_f-K_i](https://tex.z-dn.net/?f=W%3Dm%5Cfrac%7Bv_f%5E2%7D%7B2%7D-m%5Cfrac%7Bv_i%5E2%7D%7B2%7D%5C%5CW%3DK_f-K_i)