<span>Px = 0
Py = 2mV
second, Px = mVcosφ
Py = –mVsinφ
add the components
Rx = mVcosφ
Ry = 2mV – mVsinφ
Magnitude of R = âš(Rx² + Ry²) = âš((mVcosφ)² + (2mV – mVsinφ)²)
and speed is R/3m = (1/3m)âš((mVcosφ)² + (2mV – mVsinφ)²)
simplifying
Vf = (1/3m)âš((mVcosφ)² + (2mV – mVsinφ)²)
Vf = (1/3)âš((Vcosφ)² + (2V – Vsinφ)²)
Vf = (V/3)âš((cosφ)² + (2 – sinφ)²)
Vf = (V/3)âš((cos²φ) + (4 – 2sinφ + sin²φ))
Vf = (V/3)âš(cos²φ) + (4 – 2sinφ + sin²φ))
using the identity sin²(Ď)+cos²(Ď) = 1
Vf = (V/3)âš1 + 4 – 2sinφ)
Vf = (V/3)âš(5 – 2sinφ)</span>
Answer:
The deviation in path is 
Explanation:
Given:
Velocity

Electric field

Distance
m
Mass of electron
kg
Charge of electron
C
Time taken to travel distance,


sec
Acceleration is given by,





For finding the distance, we use kinematics equations.

Where
because here initial velocity zero


m
Therefore, the deviation in path is 
"1 Ampere" (A) means "1 coulomb of charge per second"
140 A means 140 coulombs per second
(140 coulomb/sec) x (0.9 sec) = 126 coulombs of charge.
Go a little farther:
Electrons are the things that move through wire carrying charge.
6.25 x 10¹⁸ electrons carry 1 coulomb of charge.
126 coulombs = 787,500,000,000,000,000,000 electrons (rounded)
Answer:
Fx = 22N
Explanation:
There are 2 possible scenarios for this problem:
1.- The 10N force is in the same direction of the acceleration. In this case the other force would be:
where F1 = 10N, m=6kg, a = 2m/s2
The negative result tells us that this is not possible.
2.- The 10N force is in the opposite direction of the acceleration. In this case the other force would be:
