The scale A reads 440 N when the sphere is hanging in air, and 330 N when the sphere is submerged in the fluid (but not touching the sides). The scale B reads 165 N when the sphere is hanging in the air and 275 N when the sphere is submerged in the fluid. You can assume the weight of the tank itself is negligible. (a) What is the mass of the sphere? (b) What is the mass of the fluid in the tank? (c) What is the volume of the fluid in the tank? When the sphere is hanging in the air ... (d) ... what is the net force on the sphere? (e) ... what is the gravitational force acting on the sphere? (f ) ... what force is the cable exerting on the sphere? (g) ... what is the net force on the tank of fluid? (h) ... what is the gravitational force acting on the tank of fluid? (i) ... what is the normal force acting on the tank of fluid? When the sphere is submerged in the fluid ... (j) ... what is the volume of the fluid in the tank? (k) ... what is the mass of the fluid in the tank? (l) ... what is the mass of the sphere? (m) ... what is the net force on the sphere? (n) ... what is the gravitational force acting on the sphere? (o) ... what force is the cable exerting on the sphere? (p) ... what is the buoyant force acting on the sphere? (q) ... what is the net force on the tank of fluid? (r) ... what is the gravitational force acting on the tank of fluid? (s) ... what force does the sphere exert on the tank of fluid? (t) ... what is the normal force acting on the tank of fluid? (u) ... what is the reading on scale B? Using the answers to the previous questions ... (v) ... what is the mass of the fluid displaced by the sphere? (w) ... what is the volume of fluid displaced by the sphere? (x) ... what is the volume of the sphere? (y) ... what is the density of the sphere?

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The scale A reads 440 N when the sphere is hanging in air, and 330 N when the sphere is submerged in the fluid (but not touching the sides).

The scale B reads 165 N when the sphere is hanging in the air and 275 N when the sphere is submerged in the fluid. You can assume the weight of the tank itself is negligible.

(a) What is the mass of the sphere?

(b) What is the mass of the fluid in the tank?

(d) ... what is the net force on the sphere?

(e) ... what is the gravitational force acting on the sphere?

(f ) ... what force is the cable exerting on the sphere?

(g) ... what is the net force on the tank of fluid?

(h) ... what is the gravitational force acting on the tank of fluid?

(i) ... what is the normal force acting on the tank of fluid?

When the sphere is submerged in the fluid ...

(j) ... what is the volume of the fluid in the tank?

(k) ... what is the mass of the fluid in the tank?

(l) ... what is the mass of the sphere?

(m) ... what is the net force on the sphere?

(n) ... what is the gravitational force acting on the sphere?

(o) ... what force is the cable exerting on the sphere?

(p) ... what is the buoyant force acting on the sphere?

(q) ... what is the net force on the tank of fluid?

(r) ... what is the gravitational force acting on the tank of fluid?

(s) ... what force does the sphere exert on the tank of fluid?

(t) ... what is the normal force acting on the tank of fluid?

(u) ... what is the reading on scale B? Using the answers to the previous questions ...

(v) ... what is the mass of the fluid displaced by the sphere?

(w) ... what is the volume of fluid displaced by the sphere?

(x) ... what is the volume of the sphere?

(y) ... what is the density of the sphere?

12.6
440 N
A
-3
1100 kg m
165 N
B
Figure 12.6
330 N
A
275 N
B
Figure 12.6 shows a sphere hung from a
set of scales (A) being lowered into a tank
of fluid which is sitting on another set of
scales (B).

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