In order to find the final velocity of the skier and the trash can lid, we may apply the principle of conservation of momentum, which states that the total momentum of a system remains constant. Mathematically, in this case:
m₁v₁ + m₂v₂ = m₃v₃
Where m₃ and v₃ are the combined mass and velocity.
75*3 + 10*2 = (75 + 10)*v₃
v₃ = 2.88 m/s
The final velocity is 2.88 m/s
The Toroid is form when you have wound conductor around circular body. In this case you have magnatic field inside the core but you dont have any poles because circular body dont have ends. This can be used where you want minimum flux leakage and dont need magnatic poles. i.e. toroidal inductor, toroidal transformer.
The Solenoid is forn when you wound conductor around body with limb. In this case magnatic field creates two poles N and S. Solenoids have little bit flux leakage. This used where you want magnatic poles and flux leakage is not an issue. i.e. relay, motors, electromagnates.
1 == toroid
2= solenoid
Let the vector position of the object in the (x-y) plane be
![\vec{r} = x \hat{i} + y \hat{j}](https://tex.z-dn.net/?f=%5Cvec%7Br%7D%20%3D%20x%20%5Chat%7Bi%7D%20%2B%20y%20%5Chat%7Bj%7D)
The applied force is
![\vec{f} = -12.5 \hat{i} ](https://tex.z-dn.net/?f=%5Cvec%7Bf%7D%20%3D%20-12.5%20%5Chat%7Bi%7D%0A)
By definition, the applied torque is
![\vec{T} = \vec{r} \times \vec{f} = (x\hat{i} + y\hat{j}) \times (-12.5y \hat{i}) = 12.5\hat{k}](https://tex.z-dn.net/?f=%5Cvec%7BT%7D%20%3D%20%5Cvec%7Br%7D%20%5Ctimes%20%5Cvec%7Bf%7D%20%3D%20%28x%5Chat%7Bi%7D%20%2B%20y%5Chat%7Bj%7D%29%20%5Ctimes%20%28-12.5y%20%5Chat%7Bi%7D%29%20%3D%2012.5%5Chat%7Bk%7D)
Answer:
It depends on the mass of an object and acceleration because of the gravity and the height of an object