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Four charges, q_{1} = 5.00 * 10 ^ - 7 * C q_{2} = - 3.00 * 10 ^ - 7 * C , q_{3} = - 2.00 * 10 ^ - 7 * C and q 4 =6.00* 10 ^ - 7 * t , are situated at the corners of a square if side 4.00 m. Find the potential at the center of the square.



Given: q_{1} = 5.00 * 10 ^ - 7 * c


q_{2} = - 3.00 * 10 ^ - 7 * C


q_{3} = - 2.00 * 10 ^ - 7 * C


q_{4} = 6.00 * 10 ^ - 7 * C


Dhabitah, a 60 kg diver is positioned so that her radius of gyration is 0.5 m as she leaves the board with an angular velocity of 4 rads-1. Compute Dhabitah’s angular velocity when she assumes a tuck position, altering her radius of gyration to 0.25 m. Explain how the diver applied the conservation of angular momentum to perform a somersault. 


Two rugby players run towards each other and have an inelastic collision. Given the mass 70 kg and 60 kg respectively, and velocity 3 ms-1 and 4 ms-1. Calculate the final velocity and its direction of the respective players. Discuss how a rugby player’s bone develops if continuously performing the weight bearing exercise using Wolff’s Law and bone remodeling theory.  


An insulating sphere of radius 4.0 cm has a total charge of 4.0 * 10 ^ - 9 C distributed uniformly over its volume. Find (a) its volume charge density and (b) the potential at its surface.

A solid sample known to consist of approximately equal amounts of two or more of the following soluble salts. AgNO, ZnCL K.CO, MgSO, Ba(C2H302)2NH4NO3 A sample of the solid, sufficient to give least 0.04 mol of any single salt, was added to 100 mL of water, yielding a white precipitate and a clear solution. The precipitate was collected and rinsed with water. When a portion of the precipitate was placed in dilute HNO,, it completely dissolved. leaving a colorless solution. A second portion of the precipitate was placed in dilute HCI, yielding a precipitate and a clear solution. Finally, the filtrate from the original precipitate was treated with excess NH₁, yielding a white precipitate. Indicate which of the soluble salts must be present in the sample, which must be absent and those for which there is insufficient information to make this determination

The critical angle at an air-liquid interface is 50°. Calculate the refractive index of the liquid

A 38.63-mg sample of potassium ozonide, KO,, was heated to 70 °C for 1 h, undergoing a weight loss of 7.10 mg. Write a balanced chemical reaction describing this decomposition A 29.6-mg sample of impure KO, experiences a 4.86-mg weight loss when treated under similar condition. What is the w/w KO, in the sample?

Safawi kicked a ball with an initial speed of 20 ms-1 at 30º angle. If the ball experienced a constant vertical acceleration of -9.81 ms-2, calculate the ball’s maximum height and distance. Explain how soccer player could apply the force of summation theory to optimize his kicks performance.  


A ray of light in air-incident at an angle of 45° on the boundary with water. Calculate the angle of refraction if the relative refractive index of air is 0.55?

A parallel plate capacitor is made up two plates, each having an area of 8.0 x 10 ^-4 m² and separated from each other by 5.0 mm. Half of the space between the plate is filled with glass and other with mica. Find the capacitance of this capacitor.



Given: A = 8.0 x 10^-4m²



d = 5.0 mm = 0.005 m

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