Answer:
F = 5.09 10¹⁰ q Q / a²
Explanation:
The electric force is given by Coulomb's law
F = k q₁ q₂ / r²
Let's apply this equation to our case, we have four force, the charge in the singer is positive Q, so the two upper charges have repulsive forces directed in the diagonals of the square and the two lower charges that are negative, have attractive forces directed at the length of the diagonals.
To find the total force we know how to use Newton's second law
On the x-axis we can see that all forces will cancel out
On the Y axis, all forces have the same direction, therefore the four forces are added.
We can find the value of one of them
The distance from the corner to the center of the square is
r² = (a / 2)² + (a / 2)² = 2 (a / 2)²
r² = a² / 2
Force is worth
F = k q Q / r²
F = k q Q 2 / a²
Let's use trigonometry to find the vertical component of this force
sin45 = / F
= F sin 45
= k q Q 2 / a² 07071
The total force is the
F = 4
F = k q Q / a2 8 0.7071
F = 5.09 10¹⁰ q Q / a²
The centripetal acceleration of the body moving in the uniform circular motion is 49.3m/s².
<h3>What is centripetal acceleration?</h3>
Centripetal acceleration is simply the acceleration of a body traversing a circular path.
It is expressed as;
ac = v²/r
Where v is velocity and r is radius.
But, Velocity v = 2πr/t.
Hence,
ac = ( 2πr/t )²/r
Given that;
- Mass m = 2.5kg
- Radius r = 20.0m
- Elapsed time t = 4.0s
- Centripetal acceleration = ?
ac = ( (2 × π × 20m) / 4.0s )² / 20m
ac = ( 31.4m/s )² / 20m
ac = (985.96m²/s²) / 20m
ac = 49.3m/s²
Therefore, the centripetal acceleration of the body moving in the uniform circular motion is 49.3m/s².
Learn more about centripetal acceleration here: brainly.com/question/14465119
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Answer:
k = 26.25 N/m
Explanation:
given,
mass of the block= 0.450
distance of the block = + 0.240
acceleration = a_x = -14.0 m/s²
velocity = v_x = + 4 m/s
spring force constant (k) = ?
we know,
x = A cos (ωt - ∅).....(1)
v = - ω A cos (ωt - ∅)....(2)
a = ω²A cos (ωt - ∅).........(3)
now from equation (3)
k = 26.25 N/m
hence, spring force constant is equal to k = 26.25 N/m
Complete Question
The
Answer:
a
b
c
Explanation:
From the question we are told that
The mass of the stone is
The height above the top of the water is
The depth of the well is
The gravitational potential of the stone before it was released is
substituting values
The gravitation potential of the stone when it reaches the bottom of the well is
The negative shows that the potential energy of the stone as compared to the earth is reducing
substituting values
The change in the systems gravitational potential is
substituting values