Answer:

Explanation:
The force on the point charge q exerted by the rod can be found by Coulomb's Law.

Unfortunately, Coulomb's Law is valid for points charges only, and the rod is not a point charge.
In this case, we have to choose an infinitesimal portion on the rod, which is basically a point, and calculate the force exerted by this point, then integrate this small force (dF) over the entire rod.
We will choose an infinitesimal portion from a distance 'x' from the origin, and the length of this portion will be denoted as 'dx'. The charge of this small portion will be 'dq'.
Applying Coulomb's Law:

The direction of the force on 'q' is to the right, since both charges are positive, and they repel each other.
Now, we have to write 'dq' in term of the known quantities.

Now, substitute this into 'dF':

Now we can integrate dF over the rod.

Answer:
your right answer is true
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Answer:22 m/s
Explanation:
Given
launch angle 
height of goal 
and horizontal distance 
Suppose initial speed is 
Trajectory of a Projectile is given by

substituting the values we get






So, initial launch speed is 
Three time the energy was needed than in case one.
What is energy?
In physics, energy is the quantifiable property that is transmitted to a body or a physical system and is visible in the form of heat and light. The law of conservation of energy states that energy can be converted in form but cannot be created or destroyed.
Case 1:
Vo = 0 m/s
V1 = 15 m/s
Case 2:
Vo = 15 m/s
V1 = 30 m/s
Change in KE = 1/2 × m × (V1^2 - Vo^2)
KE1 = 1/2 × 1000 × (15^2 - 0)
= 112.5 kJ
KE2 = 1/2 × 1000 × (30^2 - 15^2)
= 1/2 × 1000 × 675
= 337.5kJ
Case 1 has an increase of 112.5 kJ energy while Case 2 has an increase of 337.5kJ.
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