Explanation:
The formula for the electric field produced by an infinite sheet of charge is outlined below.
E = 
where, 
is the surface charge density
Following this, the formula for the electric force acting on a proton is given as:
F = eE
where, e is the charge of a proton
According to Newton's second law of motion, the overall force on the proton can be expressed as follows.
F = ma
a = 
= 
= 
According to kinematic equations, the proton's speed in the perpendicular direction can be described as follows.
= 
= 
= 683.974 m/s
Thus, the overall speed of the proton can be calculated as follows.
v' = 
=
= 
= 1178.73 m/s
Consequently, we conclude that the proton's speed is 1178.73 m/s.
Answer:
Acceleration(a) = 0.75 m/s²
Explanation:
Given:
Force(F) = 3 N
Mass of object(m) = 4 kg
Find:
Acceleration(a)
Computation:
Force(F) = ma
3 = (4)(a)
Acceleration(a) = 3/4
Acceleration(a) = 0.75 m/s²
Answer:
a, 71.8° C, 51° C
b, 191.8° C
Explanation:
Given the data:
D(i) = 200 mm
D(o) = 400 mm
q' = 24000 W/m³
k(r) = 0.5 W/m.K
k(s) = 4 W/m.K
k(h) = 25 W/m².K
The heat generation formula can be articulated as follows:
q = πr²Lq'
q = π. 0.1². L. 24000
q = 754L W/m
Thermal conduction resistance, R(cond) = 0.0276/L
Thermal conduction resistance, R(conv) = 0.0318/L
Applying the energy balance equation,
Energy In = Energy Out
This equates to q, which is 754L
From the initial analysis, the temperature at the interface between the rod and sleeve is found to be 71.8° C
Additionally, the outer surface temperature records as 51° C
Furthermore, based on the second analysis, the calculated temperature at the center of the rod is determined to be 191.8° C
Answer:
The initial speed at which the baseball is thrown is 20.58 m/s
Explanation:
To determine the time taken to reach the peak height in projectile motion, the formula is:
t = (u sin θ)/g
Where u = initial speed of the baseball =?
θ = angle of launch above the horizontal
g = gravitational acceleration = 9.8 m/s²
1.05 = (u sin 30)/9.8
u can be calculated as (1.05 × 9.8)/0.5
u = 20.58 m/s
