How to calculate the force on charge?

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To calculate the force on a positive charge of 20nC moving at 10m/s in a magnetic field, the Lorentz Force equation F = qvBsinθ can be used. The magnetic field is directed from north to south, while the charge moves due west, making the angle θ = 90 degrees, resulting in sinθ = 1. To find the force, the magnitude of the magnetic field (B) must be known. Understanding the vector form of the equation is crucial for determining the direction of the force. Proper use of the Homework Help Template is encouraged for future inquiries.
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1)In a physics lab a positive charge of 20nC is moved horizontally with a
velocity of 10m/s due west.
The magnetic field of the Earth at this location is parallel to ground and
from north to south.
Calculate the force on the charge.

2) the forumla could be : F = qvBsinθ = qv⊥B

.. but i don't know how to calculate this, could you pls help me ? I am really not good physics student..
 
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Lukas94 said:
1)In a physics lab a positive charge of 20nC is moved horizontally with a
velocity of 10m/s due west.
The magnetic field of the Earth at this location is parallel to ground and
from north to south.
Calculate the force on the charge.

2) the forumla could be : F = qvBsinθ = qv⊥B

.. but i don't know how to calculate this, could you pls help me ? I am really not good physics student..
Welcome to the PF.

In future schoolwork threads here, please use the Homework Help Template that you are provided when starting a new thread. The Template includes a place to put the Relevant Equations, and a place for your Attempt at a solution.

Now, the equation you have written is applicable here. Are you familiar with the vector form of it? That's the easiest way to get the direction of the vector force. BTW, the equation is called the Lorentz Force equation.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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