Two charged spheres on a frictionless horizontal surface are attached to opposite ends of a 750 N/m spring & are in static equilibrium. The 24 kg red sphere has more charge than the 9 kg green sphere. The total charge magnitude on the spheres is 59 μC & they have opposite polarity. As a result the spring is compressed 0.03 m & the centers of the spheres are 0.57 m apart. Determine the charge magnitude on each sphere.
Here we apply work energy theorem and conservative force definition.


Two charged spheres on a frictionless horizontal surface are attached to opposite ends of a 750...
A charged sphere in static
equilibrium is resting on a horizontal surface. Directly above it
is another charged sphere (also in static equilibrium) that is
hanging from a 2,250 N/m spring. The 2 kg red sphere has more
charge than the 3 kg green sphere. The total charge magnitude on
the spheres is 81 µC & they have opposite polarity. As a result
the normal force on the red sphere is 4 N & the centers of the
spheres are...
A
charged sphere in static equilibrium is resting on a horizontal
surface. Directly above it is another charged sphere (also in
static equilibrium) that is hanging from a 12 N/m spring. The 34 kg
red sphere has more charge than the 1 kg green sphere. The total
charge magnitude on the spheres is 26 µC & they have the same
polarity. As a result the spring is stretched 0.25 m & the
centers of the spheres are 0.32 m apart....
A charged sphere in static equilibrium is resting on a horizontal surface. Directly above it is another charged sphere (also in static equilibrium) that is hanging from a string. The 34 kg red sphere has more charge than the 31 kg green sphere. The total charge magnitude on the spheres is 65 µC & they have opposite polarity. As a result, the tension is 322 N & the centers of the spheres are 0.69 m apart. Determine the charge magnitude...
A charged sphere in static equilibrium is resting on a
horizontal surface. Directly above it is another charged sphere
(also in static equilibrium) that is hanging from a 9,000 N/m
spring. The 36 kg red sphere has more charge than the 49 kg green
sphere. The total charge magnitude on the spheres is 248 µC &
they have the same polarity. As a result the spring is stretched
0.02 m& the centers of the spheres are 0.66 m
apart. Determine...
1. Two uniformly charged spheres are attached to frictionless pucks on an air table. The charge on sphere 2 is three times the charge on sphere 1. Which force diagram below shows the relative magnitudes and directions of the electrostatic forces on the two spheres? Explain your answer.
A block with mass 0.400 kg is on a horizontal frictionless surface and is attached to a horizontal compressed spring that has force constant k=200 N/m. The other end of the spring is attached to a wall. The block is released, and it moves back and forth on the end of the spring. During this motion the block has speed 3.00 m/s when the spring is stretched 0.160 m. (a) During the motion of the block, what is its maximum...
0.1m There are two charged spheres sitting on insulating bases on a frictionless surface. The -3 bases are identical and have a mass of 0.5x10 kg. The larger sphere has a mass of 2x10 x10 kg and a charge of+0.2 micro-coulombs. The smaller sphere has a mass of 1 kg and a charge of + 0.1 micro-coulombs. A) Draw a free body diagram of each sphere. Label each force and make certain that all force vectors are drawn to appropriate...
A positive charge q1 = 2.90 μc on a frictionless horizontal surface is attached to a spring of force constant k as in the figure shown below. when a charge of q2 =-9.100 μC is placed 9.50 cm away from the positive charge, the spring stretches by 5.00 mm, reducing the distance between charges to d = 9.00 cm. Find the value of k. The response you submitted has the wrong sign. N/m 1 42
A 4.86 kg block free to move on a horizontal, frictionless surface is attached to one end of a light horizontal spring. The other end of the spring is fixed. The spring is compressed 0.104 m from equilibrium and is then released. The speed of the block is 1.01 m/s when it passes the equilibrium position of the spring. The same experiment is now repeated with the frictionless surface replaced by a surface for which $\mu$k = 0.275. Determine the...
A mass of 9 kg is placed on a horizontal frictionless surface and attached to a spring. The mass is compressed 0.69 meters on the spring from equilibrium and held still. It is then released and it travels across the horizontal surface, around a frictionless quarter circular ramp, and it is launched into the air vertically and reaches a maximum height of 6 meters above the ground. The same mass is then attached to the same spring and hung vertically...