Two otherWise identical, small conducting spheres have charges +9.0 µC and -2.0 µC. When placed a distance r apart, each experiences an attractive force of 7.2 N. The spheres are then touched together and moved back to a distancer apart. Find the magnitude of the new force on each sphere. N

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Drop-load (I) Context We want to lower a suspended load in a controlled way so that it hits the ground with a speed whose modulus is not too great. To do this, the suspended load (B) is connected by a rope passing through a pulley to another mass (A), which can move on a horizontal surface. Information The masses of the charges A and B are known.The pulley is a ring of mass mp and radius R that can rotate without friction.The surface on which mass A is placed is horizontal.There is no friction between mass A and the surface on which it is placed.The string attached to mass A is perfectly parallel to the surface on which the mass is resting. SchematizationDraw a diagram of each object that interests us. Draw your x- and y-axes for each object. Draw and name each force experienced by each object that interests us. Modelization Creates a model for the acceleration of mass B given the known parameters of the problem that are relevant. Then test your model with the following values Mass of…

5. Point charge q₁ = -5nC is at the origin and point charge is q₂ = +3nC on the -axis at x=3.00cm Point P is on the y -axis at at y=4.00cm (a) Calculate the electric fields and E2 at point Pdue to the charges qi and 92. Express your results in terms of unit vectors ((b) Use the results of part (a) to obtain the resultant field at P expressed in unit vector form.

= Two charged particles, 9₁ and 92, are located on the x-axis, with q₁ at the origin and 92 initially at x₁ 14.1 mm. In this configuration, q₁ exerts a repulsive force of 2.62 µN on 9₂. Particle 92 is then moved to X2 17.6 mm. What is the force (magnitude and direction) that q2 exerts on q₁ at this new location? (Give the magnitude in µN.) μN magnitude direction = ---Select--- ↑

Drop-load (III) context We want to lower a suspended load in a controlled way, so that it hits the ground with a speed whose modulus is not too great. To do this, the suspended load (B) is connected by a rope passing through a pulley to another mass (A), which can move on an inclined surface. Information The masses of charges A and B are known.The pulley is a solid cylinder (or disc) of mass mp and radius R which can turn without friction.The surface on which mass A is placed is horizontal.There is friction between mass A and the surface on which it is placed, the coefficient of friction is uc.Mass A is on a surface tilted by an angle delta.The rope attached to mass A is perfectly parallel to the surface on which the mass is placed. Schematization Draw a diagram of each object that interests us. Draw your x and y axes for each object. Draw and name each force experienced by each object that interests us. Modelization Create a model for the acceleration of mass B given the known…