Derive the scaling law for the static buoyancy law of a solid sphere in a liquid...
A solid aluminum sphere with the density p_n = 2700 kg/m^3 is suspended in air from a scale that reads 13.06N. the sphere is then submerged in a liquid with an unknown density . the scale then reads 8.706 n. work out an expression for the density of the liquid in terms of the quantities and then calculate the density of the liquid.
A solid, insulating sphere of radius a has a uniform charge density of P and a total charge of Q. Concentric with this sphere is a conducting spherical shell with inner and outer radii are b and c, and having a net charge -3Q. (a) (5 pts.)Use Gauss's law to derive an expression for the electric field as a function of r in the regions r < a (b) (4 pts.) Use Gauss's law to derive an expression for the electric field...
A solid sphere, made of an insulating material, has a volume charge density of ρ = a/r What is the electric field within the sphere as a function of the radius r? Note: The volume element dV for a spherical shell of radius r and thickness dr is equal to 4πr2dr. (Use the following as necessary: a, r, and ε0.), where r is the radius from the center of the sphere, a is constant, and a > 0. magnitude E= (b)...
1. A solid sphere of radius a is concentric with a hollow sphere of radius b, where b>alf the solid sphere has a charge +Qand the hollow sphere a charge of see figure. The electric field at radius , where r>b, is: A) KOR; B) 2KQ/R; C) MQ/#; D) AQB; E) zero.) 1. A solid sphere of radius a is concentric with a hollow sphere of radius b, where b>alf the solid sphere has a charge +Qand the hollow sphere...
There is a sphere composed of solid plastic (density = 910 kg/m^3) that is completely submerged underwater. When the sphere is attached to a spring (underwater), the spring is stretched by 0.21m relative to equilibrium length (spring constant, k = 2900 kg/s^2). What is the VOLUME of the marker sphere?
3.) [50 pts] Consider a solid sphere (with radius R) of nonconducting material having a (volume) charge density ρ-ar', where α is a constant (having appropriate units). a.) [10 pts] Provide an expression for the total charge contained in the sphere. b.) [5 pts] Provide an expression for the electric field, Eout, at some position r (relative to the origin at the center of the sphere) located outside the sphere 15pts] Provide an expression for the electric field, Ein, at...
A solid, nonconducting sphere has charge non-uniformly distributed throughout its volume. The charge density p can be modeled by p(r) = Ar^2 where A=2.5uC/m^5. radius of sphere=4.0cm. a.) What is the total charge enclosed within the sphere? b.) Use Gauss' Law to find electric field strength at r=3cm.
(a) A solid sphere, made of an insulating material, has a volume charge density of p , where r is the radius from the center of the sphere, a is constant, and a >0. What is the electric field within the sphere as a function of the radius r? Note: The volume element dv for a spherical shell of radius r and thickness dr is equal to 4tr2dr. (Use the following as necessary: a, r, and co.) magnitude E direction...
A solid sphere of uniform density starts from rest and rolls without slipping down an inclined plane with angle e 300. The sphere has mass M 8 kg and radius R - 0.19 m . The coefficient of static frictio between the sphere and the plane is ?-0.64. What is the magnitude of the frictional force on the sphere? N Submit
A solid sphere of uniform density starts from rest and rolls without slipping down an inclined plane with angle θ = 30o. The sphere has mass M = 8 kg and radius R = 0.19 m . The coefficient of static friction between the sphere and the plane is μ = 0.64. What is the magnitude of the frictional force on the sphere? Ff = N