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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.

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

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

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.  


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.



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.



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.

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. 


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