Answer :
Answer:
The speed of the particle is 34.66 m/s.
Explanation:
Given that,
Mass of particle = 50 g
Charge of particle = 4.0 mC
Velocity = 25 m/s
Electric field = 60 N/C
Time = 5.0 sec
We need to calculate the speed in y direction
Using formula of speed
[tex]v=a\times t[/tex]
Where, a = acceleration
[tex]v=\dfrac{F}{m}\times t[/tex]
[tex]v=\dfrac{qEt}{m}[/tex]
Put the value in to the formula
[tex]v=\dfrac{4.0\times10^{-3}\times60\times5.0}{50\times10^{-3}}[/tex]
[tex]v=24\ m/s[/tex]
We need to calculate the speed of the particle
[tex]v=\sqrt{v_{x}^2+v_{y}^2}[/tex]
Put the value into the formula
[tex]v=\sqrt{25^2+24^2}[/tex]
[tex]v=34.66\ m/s[/tex]
Hence, The speed of the particle is 34.66 m/s.