Answer:
0.02 Ns
Explanation:
From the question given above, the following data were obtained:
Force (F) = 5 N
Time (t) = 4 ms
Change in momentum =?
Next, we shall convert 4 ms to s. This can be obtained as follow:
1 ms = 1×10¯³ s
Therefore,
4 ms = 4 ms × 1×10¯³ s / 1 ms
4 ms = 4×10¯³ s
Thus, 4 ms is equivalent to 4×10¯³ s
Change in momentum = Impulse
Impulse (I) = Force (F) × time (t)
Change in momentum = Force (F) × time (t)
Force (F) = 5 N
Time (t) = 4×10¯³ s
Change in momentum =?
Change in momentum = 5 × 4×10¯³
Change in momentum = 0.02 Ns
Therefore, the change in the momentum of the ball is 0.02 Ns.
Answer:
7664.06249 N/m
Explanation:
m = Mass of mug = 0.5 kg
x = Compression of spring = 0.08 m
h = Height of fall = 5 m
g = Acceleration due to gravity = 9.81 m/s²
The kinetic energy of the spring and potential energy of the fall are conserved

The spring constant of the spring is 7664.06249 N/m
The circular lines you see on the chart are isobars, which join areas of the same barometric pressure.
Answer: (a) α = 
(b) For r≤R: B(r) = μ_0.
For r≥R: B(r) = μ_0.
Explanation:
(a) The current I enclosed in a straight wire with current density not constant is calculated by:

where:
dA is the cross section.
In this case, a circular cross section of radius R, so it translates as:




For these circunstances, α = 
(b) <u>Ampere's</u> <u>Law</u> to calculate magnetic field B is given by:
μ_0.
(i) First, first find
for r ≤ R:





Calculating B(r), using Ampere's Law:
μ_0.
.μ_0
B(r) =
.μ_0
B(r) =
.μ_0
For r ≤ R, magnetic field is B(r) =
.μ_0
(ii) For r ≥ R:

So, as calculated before:

I
Using Ampere:
B.2.π.r = μ_0.I
B(r) =
.μ_0
For r ≥ R, magnetic field is; B(r) =
.μ_0.
C. Have like poles that repel each other