A small (point) charge, q = 3.87x10-8 C, with a mass of 6.55x10-5 kg is held stationary a distance d = 1.30 m above the top surface of a large, stationary spherical charge, Q = 4.49x10-7 C, of radius 0.20 m. The small charge is dropped (from rest) and it falls towards the larger charge.
Both gravity and the electric interactions are important in this problem.
What is the velocity of the small charge just before hits the large charge? (The small charge falls a total distance of d.)
Give your answer in m/s to at least three significant figures (to avoid rounding errors).

Concept - Using energy conservation principle, the initial potential energy due to the gravitational potential energy and electrical potential energy will be equal to final kinetic energy plus electrical potential energy. The zero level of gravitational potential energy is taken at the surface of the sphere where the charge finally lands.

***********************************************************************************************
Check the answer and let me know immediately if you
find something wrong or missing... I will rectify the mistakes asap
if any
A small (point) charge, q = 3.87x10-8 C, with a mass of 6.55x10-5 kg is held...
Question 21 5 pts A small space rock of mass m is released from rest a very long distance away ("infinity from a planet of mass M and radius R. The rock falls to the planet's surface. What is the network done on the rock by the force of gravity from the initial moment of release to just before it hits the surface of the planet? You can ignore air resistance and assume that the rock falls in along a...
Initial 6) Two charges(-9, +9) are held at rest and a third charge (+Q) is fired towards them as shown held in place O +Q stops when it is a distance a from the +q. * * E E Find the initial speed (vo) of +Q Give answer in terms of q, Q, m, a, and k (or Eo). (simplify your expression if possible) Final held in place stops
3. A small metal sphere, carrying a net charge of 9,=+7.5 C, is held in a stationary position by insulating supports. A second small metal sphere, with net charge of 92=+3 C and mass 2 g is projected toward qı. When two spheres are 0.8 m apart, 92 is moving toward q with speed 22.0 m/s, see Figure. Assume that the two spheres can be treated as point charges. Neglect the force of gravity. a) What is the speed of...
Chapter 23 Problem 23.48 Part A A positive point charge q- +5.00x10 C is held at a fixed position. A small object with mass 7 .00x103 kg and charge q -5.00x104 Cis projected directly at Ignore gravity. When q2 is 0.400 m away, its speed is 800 m/s What is its speed when it is 0.200 m from q? Express your answer with the appropriate units.
4. A point charge +5.04C is held fixed at the origin. A second point charge Q - +2.5C with mass of 4.5 g is placed on the xaxis, 1.5 m from the origin. (a). Calculate the electric potential energy of the pair of charges (5pts). (b). The second point, charye is released from rest. What is its speed when its distance from the origin is 3.0 m (7pts).
A positive charge q1=2*10^-9 C is held fixed at the origin. A small particle with mass m=.004 kg and a negative charge q2=-5*10^-9 C is placed on the x-axis at point A, which is at x=.5m. The particle is released from rest and moves along the x-axis towards the origin. What is the speed of the particle when it reaches point B, which is at x=.3 m? Answer is .00775 m/s Please show work on how to get here
1) A point charge 4.60 μC is held fixed at the origin. A second point charge 1.30 μC with mass of 2.80×10−4 kg is placed on the x axis, 0.260 m from the origin. A. What is the electric potential energy U of the pair of charges? (Take U to be zero when the charges have infinite separation.) B. The second point charge is released from rest. What is its speed when its distance from the origin is 0.600 m...
A small metal sphere, carrying a net charge of q1 = -3.00 ?C ,
is held in a stationary position by insulating supports. A second
small metal sphere, with a net charge of q2 = -7.60 ?C and mass
1.70 g , is projected toward q1. When the two spheres are 0.800 m
apart, q2 is moving toward q1 with speed 22.0 m/s (Figure 1).
Assume that the two spheres can be treated as point charges. You
can ignore the...
1. A small I metal sphere, carrying a net charge of e-2.80 uC, is held in a stationary position sphere, i by insulating supports. A mass 1.50 g, is projected toward q1. When the two spheres are o.S00 m apart. q, is moving You can ignore the force of gravity. (hint: use conservation of mergy second small metal sphere, with a net charge of q2--7.80uC and can be treated as poit C-7.80uC (a). What is the speod of 42 when...
In the figure, a small spherical insulator of mass 6.00×10−2 kg and charge +0.400 μC is hung by a thin wire of negligible mass. A charge of −0.220 μC is held 0.290 m away from the sphere and directly to the right of it, so the wire makes an angle theta with the vertical, as shown. What is the angle theta? (k=1/4πϵ0=8.99×109 N · m2/C2) 1.50∘ 1.10∘ 1.70∘ 0.917∘ 1.30∘