1.A hollow spherical shell has an inner radius r1 and outer radius r2. It is made...
1.A hollow spherical shell has an inner radius r1 and outer radius r2. It is made of a material with density ?. Find the equation for its mass in terms of these three variables.
2.As we will learn, kinetic energy (K) has units kg•m2/s2. If we represent the mass of an object with m and its speed with v, we can write the kinetic energy as K = Ambv c, where A is a unitless constant. (a) What must the values of b and c be? (b) Now, we are given an equation for kinetic energy of an object that reads K = D + Ambv c. What can you say about the units of D? (c) What sort of quantity must D be?
3.An object’s position is described by the equation x = At – Bt 4 + C. What are the units of (a) A, (b) B, and (c) C? (d) Find the time derivative of position, dx/dt. (e) What are the units of the time derivative?
4.Human hair grows at about 0.5 inches per month. (a) What is this growth rate in nm/s? (b) Typical interatomic spacing in a molecule is ~0.1 nm. Approximately how many layers of atoms are added per day as a hair is growing?
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1.A hollow spherical shell has an inner radius r1 and
outer radius r2. It is made...
A hollow non-conducting spherical shell has inner radius R1 =9 cm and outer radius R2 = 15 cm
Problem 8: A hollow non-conducting spherical shell has inner radius R1 =9 cm and outer radius R2 = 15 cm. A charge Q = -35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density Q = Ar for R1 < r < R2 that increases linearly with radius, where A = 16 μC/m4. Part (a) Write an equation for the radial electric field in the region r < Ry in terms of Q, r, and...
A hollow non-conducting spherical shell has inner radius R1=5 cm and outer radius R2=12 cm
A hollow non-conducting spherical shell has inner radius R1=5 cm and outer radius R2=12 cm. A charge Q=-25 nC lies at the center of the shell. The shell carries a spherically symmetric charge density Q=Ar for R1 < r < R2 that increases linearly with radius, where A 21 uC/m4 Part (a) Write an equation for the radial electric field in the region r < R1 in terms of Q, r, and Coulomb's constant k. You may take the positive direction...
A hollow non-conducting spherical shell has inner radius R1 = 8 cm and outer radius R2 = 17 cm. A charge Q =-35 nC lies at the center of the shell
Problem 9: A hollow non-conducting spherical shell has inner radius R1 = 8 cm and outer radius R2 = 17 cm. A charge Q =-35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density p = Ar for R1 < r < R2 that increases linearly with radius, where A = 24 uC/m4 .Part(a) Write an equation for the radial electric field in the region r < R1 in terms of Q.r, and Coulomb's...
A hollow insulating spherical shell of inner radius R0 and outer radius R1 is positively charged with a charge density of p(r) = p0(1 – (r/R1)3).
A hollow insulating spherical shell of inner radius R0 and outer radius R1 is positively charged with a charge density of p(r) = p0(1 – (r/R1)3). A positive charge +Q is placed in the center of the hollow sphere and a concentric grounded conducting shell with inner radius R2 and outer radius R3 surrounds the hollow sphere. (The conducting shell was neutral before it is grounded.) (a) What is the total charge on the insulating sphere? (b) What charges are on the...
A conducting spherical shell with a cavity, has inner radius R1 and outer radius R2. The...
A conducting spherical shell with a cavity, has inner radius R1 and outer radius R2. The shell has a net positive charge 8.2 nC. A particle with charge 27.6 nC is placed at the center of the cavity. (a) The net charge enclosed at a point in the cavity, a distance r from the center, is: Select one: a. 8.2 nc O b. 35.80 nC c. 27.6 nc d. Onc O e. -19.40 nc (b) The net charge enclosed at...
Given a hollow spherical conducting shell (in electrostatic equilibrium) has an inner radius R1 and an...
Given a hollow spherical conducting shell (in electrostatic equilibrium) has an inner radius R1 and an outer radius R2 with a total charge -2Q distributed uniformly on its surfaces The inside of the hollow spherical conducting shell is filled with nonconducting gel with a total charge of -3Q distributed as p -p.*r (where po is a constant) through out the volume. -20 -5Qfadial for R2 4περη2 -3Q R1rR2 -3Qr2f ΑπερR14 adial 0<IR1 Assume V 0 @r0o 15. Find the absolute...
(6%) Problem 13: A hollow non-conducting spherical shell has inner radius Ri = 7 cm and...
(6%) Problem 13: A hollow non-conducting spherical shell has inner radius Ri = 7 cm and outer radius R2 = 19 cm. A charge Q = -35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density p Ar for Ri<r<R2 that increases linearly with radius, where A = 25 HC/m4 Otheexpertta.con A 25% Part (a) Write an equation for the radial electric field in the region r< Ri in terms of Q, r,...
Question 11 A hollow sphere of radius 0.220 m, with rotational inertia I = 0.0728 kg-m2...
Question 11 A hollow sphere of radius 0.220 m, with rotational inertia I = 0.0728 kg-m2 about a line through its center of mass, rolls without slipping up a surface inclined at 33.7° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 36.0 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has...
Chapter 11, Problem 010 A hollow sphere of radius 0.240 m, with rotational inertia 0.0388 kg.m2...
Chapter 11, Problem 010 A hollow sphere of radius 0.240 m, with rotational inertia 0.0388 kg.m2 about a line through its center of mass, rolls without slipping up a surface inclined at 42.1o to the horizontal. At a certain initial position, the sphere's total kinetic energy is 7.50 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has...
A satellite of mass m is in a circular orbit of radius R2 around a spherical planet of radius R1 made of a material with density ρ. ( R2 is measured from the center of the planet, not its surface.) Use G for the universal gravitational constant.
A satellite of mass m is in a circular orbit of radius R2 around a spherical planet of radius R1 made of a material with density ρ. ( R2 is measured from the center of the planet, not its surface.) Use G for the universal gravitational constant.A) Find the kinetic energy of this satellite, KExpress the satellite's kinetic energy in terms of G, m, π, R1, R2, and ρ.B) Find U, the gravitational potential energy of the satellite. Take the gravitational potential...
A conducting spherical shell with a cavity, has inner radius R1 and outer radius R2. The shell has a net positive charge 8.2 nC. A particle with charge 27.6 nC is placed at the center of the cavity. (a) The net charge enclosed at a point in the cavity, a distance r from the center, is: Select one: a. 8.2 nc O b. 35.80 nC c. 27.6 nc d. Onc O e. -19.40 nc (b) The net charge enclosed at...
Given a hollow spherical conducting shell (in electrostatic equilibrium) has an inner radius R1 and an outer radius R2 with a total charge -2Q distributed uniformly on its surfaces The inside of the hollow spherical conducting shell is filled with nonconducting gel with a total charge of -3Q distributed as p -p.*r (where po is a constant) through out the volume. -20 -5Qfadial for R2 4περη2 -3Q R1rR2 -3Qr2f ΑπερR14 adial 0<IR1 Assume V 0 @r0o 15. Find the absolute...
(6%) Problem 13: A hollow non-conducting spherical shell has inner radius Ri = 7 cm and outer radius R2 = 19 cm. A charge Q = -35 nC lies at the center of the shell. The shell carries a spherically symmetric charge density p Ar for Ri<r<R2 that increases linearly with radius, where A = 25 HC/m4 Otheexpertta.con A 25% Part (a) Write an equation for the radial electric field in the region r< Ri in terms of Q, r,...
Question 11 A hollow sphere of radius 0.220 m, with rotational inertia I = 0.0728 kg-m2 about a line through its center of mass, rolls without slipping up a surface inclined at 33.7° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 36.0 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has...
Chapter 11, Problem 010 A hollow sphere of radius 0.240 m, with rotational inertia 0.0388 kg.m2 about a line through its center of mass, rolls without slipping up a surface inclined at 42.1o to the horizontal. At a certain initial position, the sphere's total kinetic energy is 7.50 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has...
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