Question

In: Physics

A platinum sphere with radius 0.0161 m is totally immersed in mercury.The densities of platinum and...

A platinum sphere with radius 0.0161 m is totally immersed in mercury.The densities of platinum and mercury are 2.14*10^4 kg/m3 and 1.36*10^4 kg/m3, respectively.

Find the weight of the sphere, the buoyant force acting on the sphere, and the sphere\'s apparent weight.

Solutions

Expert Solution

Radius of sphere, r=0.0161 m

Volume of sphere, V=(4/3)*pi*r3

                                =(4/3)*3.14*0.01613=1.75*10-5 m3

Weight of sphere=Volume*density of sphere*g

                                =1.75*10-5*2.14*104*9.8

                                =3.67 N

Buoyant force= Volume*density of mercury*g

                                =1.75*10-5*1.36*104*9.8

                                =2.33 N

Apparent of sphere=Volume*(density of sphere-density of mercury)*g

                                =1.75*10-5*(2.14*104-1.6*10-4) 9.8

                                =1.34 N


Related Solutions

A platinum sphere with radius 0.0197 m is totally immersed in mercury. Find the weight of...
A platinum sphere with radius 0.0197 m is totally immersed in mercury. Find the weight of the sphere, the bouyant force acting on the sphere, and the sphere's apparent weight. The densities of platinum and mercury are 2.14
A platinum sphere with radius 0.0115 m is totally immersed in mercury. Find the weight of...
A platinum sphere with radius 0.0115 m is totally immersed in mercury. Find the weight of the sphere, the buoyant force acting on the sphere, and the sphere\'s apparent weight. The densities of platinum and mercury are 2.14
A hollow, conducting sphere with an outer radius of .250 m and an inner radius of...
A hollow, conducting sphere with an outer radius of .250 m and an inner radius of .200 m has a uniform surface charge density of -6.37 muC/me2.When a charge is now introduced at the center of the cavity inside the sphere, the new charge density on the outside of the sphere is -4.46 muC/me2. What is the charge at the center of the cavity?
A hollow, conducting sphere with an outer radius of 0.240 m and an inner radius of...
A hollow, conducting sphere with an outer radius of 0.240 m and an inner radius of 0.200 m has a uniform surface charge density of +6.37 × 10−6 C/m2. A charge of -0.400 μC is now introduced into the cavity inside the sphere. What is the new charge density on the outside of the sphere? Express your answer with the appropriate units. Calculate the strength of the electric field just outside the sphere. Express your answer with the appropriate units....
A sphere of matter, of mass M and radius a, has a concentric cavity of radius...
A sphere of matter, of mass M and radius a, has a concentric cavity of radius b. Find the gravitational force F exerted by the sphere on a particle of mass m, located a distance rfrom the center of the sphere, as a function of r in the range 0 ? r ? ? . Consider points r = 0; b; a and ? in particular.
A tank has the shape of a sphere with a radius of 5 m. It is...
A tank has the shape of a sphere with a radius of 5 m. It is filled with water up to 9 m. (i) Let x be the height in meters measured from the bottom of the tank. The weight in Newtons of a thin layer of water between x and x + Δx is approximately P (x) Δx. What is P (x)? P (x) = Express the answer by a formula. Recall that the density of water is ρ...
A hollow sphere of mass M and radius R is hit by a pendulum of mass...
A hollow sphere of mass M and radius R is hit by a pendulum of mass m and length L that is raised at an angle θ. After the collision the pendulum comes to a stop and the sphere rolls forward into a spring with stiffness k on an incline of ϕ. Find an expression for how far ∆x the spring compresses along the incline. Use only m, L, M, R, θ, ϕ, k and appropriate constants.
There is a dielectric sphere with radius a [m] and relative permittivity εr. This dielectric has...
There is a dielectric sphere with radius a [m] and relative permittivity εr. This dielectric has a uniform charge density ρ [C / m3) This dielectric sphere has an inner radius b [m] (a <b). It shall be surrounded by a hollow grounded conductor. The center of the dielectric sphere Answer the following questions as if the centers are the same. (1) Find the electric flux density and electric field at each location. (2) Find the energy density stored in...
Part A) A solid sphere of mass M and radius R is mounted on an axle...
Part A) A solid sphere of mass M and radius R is mounted on an axle through its center. The axle is attached to a horizontal spring of constant k, and the sphere rolls back and forth without slipping. Derive an expression for the total energy of this system in terms of the displacement of the spring x, speed v of the center-of-mass of the sphere when its displacement is x, and M, and k. Part B) Derive the expression...
A sphere of mass M, radius r, and moment of inertial I = Mr2 (where is...
A sphere of mass M, radius r, and moment of inertial I = Mr2 (where is a dimensionless constant which depends on how the mass is distributed in the sphere) is placed on a track at a height h above the lowest point on the track. The sphere is released, and rolls without slipping. It reaches a horizontal surface which subsequently bends into a vertical loop-the-loop of radius R, as in Fig. 2 below. a) When it reaches the top...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT