The relative velocity of the athlete relative to the ground is 5.2 m/s
The given parameters;
constant velocity of the athlete, V = 5.2 m/s
let the velocity of the ground = Vg = 0
The relative velocity concept helps us to determine the velocity of a moving object relative to a stationary observer.
The athlete is the moving object in this question while the ground is stationary.
The relative velocity of the athlete relative to the ground is calculated as follows;

Thus, the relative velocity of the athlete relative to the ground is 5.2 m/s
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Answer:
v = 15.8 m/s
Explanation:
Let's analyze the situation a little, we have a compressed spring so it has an elastic energy that will become part kinetic energy and a potential part for the man to get out of the barrel, in addition there is a friction force that they perform work against the movement. So the variation of mechanical energy is equal to the work of the fictional force
= ΔEm =
-Em₀
Let's write the mechanical energy at each point
Initial
Em₀ = Ke = ½ k x²
Final
= K + U = ½ m v² + mg y
Let's use Hooke's law to find compression
F = - k x
x = -F / k
x = 4400/1100
x = - 4 m
Let's write the energy equation
fr d = ½ m v² + mgy - ½ k x²
Let's clear the speed
v² = (fr d + ½ kx² - mg y) 2 / m
v² = (40 4.00 + ½ 1100 4² - 60.0 9.8 2.50) 2/60.0
v² = (160 + 8800 - 1470) / 30
v = √ (229.66)
v = 15.8 m/s
Answer:
The coil with the maximum number of loops will produce the magnetic field with the maximum strength.
Explanation:
The magnetic field produced by a current-carrying coil at a point on the axis which is passing through its center and perpendicular to its plane is given by

<em>where</em>,
= magnetic permeability of the free space.- N = number of loops of the coil.
- I = current flowing through the coil.
- R = radius of the coil.
- r = distance of the point where the magnetic field is to be found from the center of the coil.
Now, it is given that all the four coils have the same size, means same radius R, same material, means same permeability for all the coils, and the same amount of current is passing through all the coils, means same current I.
The magnetic field of all the four coils is differing only due to the number of loops N.
Thus, the coil with the maximum number of loops N will produce the magnetic field with the maximum strength.
Answer:
35.7 mA
Explanation:
The magnetic field inside a solenoid is given by:
(1)
where
is the vacuum permeability
I is the current
n is the number of turns per unit length
Since we have
N = 870 turns
L = 0.390 (length of the solenoid)
we can calculate n

And now we can re-arrange eq.(1) to find the current, I:

Answer:
5365 N
Explanation:
v = Final velocity = 23 m/s
u = Initial velocity = -14 m/s (opposite direction)
m = Mass of ball = 145 g
t = Time taken = 1 ms
Impulse is given by

Impulse is also given by


The magnitude of the average force exerted by the bat on the ball is 5365 N