1. A small mass (m = 0.25 kg) is released from rest within and near the left side of a large spherical shell of material. Which direction will the small mass accelerate?
left
toward the center
right
It will not move
2. The same small mass from question #1 is now released from rest 1000 m from the center of a shell of material. The shell has a radius of 500 m and a mass of 10000 kg. A second shell, whose center is 2500 m from the center of the first shell, has a radius is 500 m and a mass of 5000 kg. The centers of the small mass and both shells are along a straight line with the small mass in between the shells. Toward which shell will the small mass begin to move?
Toward shell 2
Toward shell 1
The mass is equilibrium. It will not move.
Not enough information given
3. Now the small mass from question #2 finds itself inside a solid sphere (m = 1000000 kg and R = 2000 m). If the small mass is halfway between the center of the sphere and the surface, determine its weight.
1. A small mass (m = 0.25 kg) is released from rest within and near the...
. A small mass m starts from rest and slides from the top of a fixed sphere of radius r (b) Suppose there is friction between the mass and the sphere with friction coefficient μ,-0.1. what is the minimum angle Emin at which the mass will start to slide along the sphere? (c) The mass is now placed just past this minimum angle and released. The coefficient of kinetic friction k is small but not zero. Does the mass fly...
The 0.100-kg sphere (Figure 1) is released from rest at the position shown in the sketch, with its center 0.400 m from the center of the 5.00-kg mass. Assume that the only forces on the 0.100-kg sphere are the gravitational forces exerted by the other two spheres and that the 5.00-kg and 10.0-kg spheres are held in place at their initial positions. What is the speed of the 0.100-kg sphere when it has moved 0.200 m to the left from...
5. A small mass m starts from rest and slides from the top of a fixed sphere of radius r. (a) If the sphere is frictionless, at what angle θ from the vertical does the mass leave the surface? (b) Suppose there is friction between the mass and the sphere with friction coefficient =0.1. What is the minimum angle θmin at which the mass will start to slide along the sphere? (c) The mass is now placed just past this...
2.00 m 30 Given: A solid sphere of mass m 0.60 kg and radius r 0.20 m is released from rest at the top of the incline shown. For this system, the coefficient of dynamic (sliding) friction is Hdyn 0.3 and the coefficient of static friction is Hstatic -0.5 Find: (a) Assume that the sphere rolls without slipping down the incline. Under this assumption, what is the acceleration of the sphere parallel to the incline, and how long does it...
A small sphere of mass mand radius ris released from rest at A and rolls without sliding on the curved surface to point B where it leaves the surface with a horizontal velocity. Given: a = 1.9 m and b= 1.2 m. Determine the speed of the sphere as it strikes the ground at Cand the corresponding distance c [You must provide an answer before moving on to the next part.) The speed of the sphere as it strikes the...
For how long must a solid sphere of mass 3.95 kg accelerate from rest at α = 0.84 rad/s^2 for the sphere to have the same rotational kinetic energy as a spherical shell of mass 5.86 kg and angular velocity 12.4 rad/s. Both objects have the same radius of 2.00 m. (I_sp = (2/5)MR^2, I_sh = (2/3)MR^2) A. 18.0 s B. 23.2 s C. 27.9 s D. 13.9 s
A solid homogeneous sphere of mass M = 1.80 kg is released from rest at the top of an incline of height H=1.33 m and rolls without slipping to the bottom. The ramp is at an angle of θ = 26.9o to the horizontal. Calculate the speed of the sphere's CM at the bottom of the incline. Determine the rotational kinetic energy of the sphere at the bottom of the incline.
A solid homogeneous sphere of mass M = 4.70 kg is released from
rest at the top of an incline of height H=1.21 m and rolls without
slipping to the bottom. The ramp is at an angle of θ = 27.7o to the
horizontal.
a) Calculate the speed of the sphere's CM at the bottom of the
incline.
b) Determine the rotational kinetic energy of the sphere at the
bottom of the incline.
Consider a system containing a solid cylinder of mass 10 kg and
diameter 0.5 m, a thin cylindrical shell of mass 2 kg and diameter
0.3 m, and a tbin spherical shell of mass 5 kg and radius 0.25 m
arranged as shown in the image anove and all connected by a
massless thin rod. The center of each object is 1 m apart in the
system is free to rotate about an access 1 m to the left of...
Question 21 5 pts A small space rock of mass m is released from rest a very long distance away ("infinity from a planet of mass M and radius R. The rock falls to the planet's surface. What is the network done on the rock by the force of gravity from the initial moment of release to just before it hits the surface of the planet? You can ignore air resistance and assume that the rock falls in along a...