Two tiny spheres have the same mass and carry charges of the same magnitude. The mass of each sphere is 4.30×10−6 kg. The gravitational force that each sphere exerts on the other is balanced by the electric force. Determine the charge magnitude. Number Units
A parallel-plate capacitor is connected to a battery and obtains a charge Q. The distance between the plates is tripled, and a dielectric with κ = 2 is inserted while the battery is still attached. What is the new charge on the capacitor?
Two blocks A and B have a weight of 11 lb and 6 lb, respectively. They are resting on the incline for which the coefficients of static friction are μA = 0.16 and μB = 0.23. Determine the angle θ which will cause motion of one of the blocks. What is the friction force under each of the blocks when this occurs? The spring has a stiffness of k = 2 lb/ft and is originally unstretched. Determine the smallest angle θ which will cause motion of one of the blocks. Determine is the friction force under the block A at this angle. Determine is the friction force under the block B at this angle.
Suppose you use an ideal pulley of the type shown in the figure below and find it necessary to exert a force of 120 N to support a load. (a) What is the load's mass (in kg)? kg (b) What force (in N ) is exerted on the ceiling? Neglect the pulley system's mass. N (upward)
Two blocks A and B have a weight of 11 lb and 6 lb, respectively. They are resting on the incline for which the coefficients of static friction are μA = 0.14 and μB = 0.26. Determine the incline angle θ for which both blocks begin to slide. Also find the required stretch or compression in the connecting spring for this to occur. The spring has a stiffness of k = 1.9 lb/ft. (Figure 1) Part A Determine the incline angle θ for which both blocks begin to slide. Express your answer to three significant figures and include the appropriate units. Part B Determine the change of the length of the spring. Assume this change to be positive if the spring is stretched and negative if the spring is compressed. Express your answer to three significant figures and include the appropriate units. Figure 1 of 1