A 4-Kilogram object slides, on a smooth surface, towards the north at a velocity of 5 meters per second. The object hits a fixed pole and is deflected from north to east by an angle of 60° and has a velocity of 5 meters per second. The change in the magnitude of the northward component of the moment of the object is

A solid sphere of mass, M = 5.0 kg, and radius, R = 0.100 m is placed on two blocks so that it’s centre of mass lies at the origin as shown on the right.  A bullet of mass, m = 0.100 kg, and with an x coordinate of b = 0.04 m strikes the sphere from below with a vertical velocity, v = 65 m/s and embeds in the sphere coming to rest at the location (-b,0) in the diagram below.  Since there is no momentum in the horizontal direction, after the bullet hits the sphere , it will rise up to some maximum height and then fall back to its initial position on the two blocks.  While the sphere is in the air it will rotate.  What is the magnitude of the angle (in degrees) through which the sphere will rotate before it makes contact with the two blocks again?

A spherical satellite of approximately uniform density with radius 4.8 m and mass 215 kg is originally moving with velocity (2600, 0, 0) m/s, and is originally rotating with an angular speed 2 rad/s, in the direction shown in the diagram. A small piece of space junk of mass 6.0 kg is initially moving toward the satellite with velocity (-2200, 0, 0) m/s. The space junk hits the edge of the satellite as shown in the figure below, and moves off with a new velocity ( 1300, 480, 0) m/s. Both before and after the collision, the rotation of the space junk is negligible. V3 L Part 1 Ux = Uy = @1 (a) Just after the collision, what are the components of the center-of-mass velocity of the satellite (v, and vy) and its rotational speed w? (For Ux, enter your answer to at least four significant figures.) Part 2 Mi @= i i Save for Later i M, R, 1 V2 m m/s m/s rad/s (b) Calculate the rise in the internal energy of the satellite and space junk combined. J Attempts: 0 of 10 used Submit Answer

A cue ball travelling at 0.785 m/s [270°] strikes a stationary five-ball, causing it to move at 0.601 m/s [230°]. The cue ball and the five-ball each have a mass of 160 g. What will be the velocity of the cue ball immediately after impact? Ignore frictional and rotational effects.

A rod of mass M = 3.25 kg and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m = 65 g, moving with speed v = 5.25 m/s, strikes the rod at angle θ = 51° from the normal at a distance D = 2/3 L, where L = 1.3 m, from the point of rotation and sticks to the rod after the collision. 1. What is the angular speed ωf of the system immediately after the collision, in radians per second?

A puck of mass m₂ = 72.0 g and radius r₁ = 3.70 cm glides across an air table at a speed of = 1.50 m/s as shown in Figure a. It makes a glancing collision with a second puck of radius r₂ = 6.00 cm and mass m₂ = 105 g (initially at rest) such that their rims just touch. Because their rims are coated with instant-acting glue, the pucks stick together and rotate after the collision (Figure b). m₁ m₂ b (a) What is the magnitude of the angular momentum of the system relative to the center of mass? kg. m²/s (b) What is the angular speed about the center of mass? rad/s

A hammer is made of a solid sphere and a solid rod of negligible mass attached to the sphere. The radius of the sphere is R=25.0 cm and its mass is m=0.100 kg. The distance from the center of the sphere to the pivot is l=1.00 m. The hammer is released from it is initial position at the angle ϕ=30° with the vertical direction (see Figure below). Find the velocity of its center of mass at the lowest point. The moment of inertia of a solid sphere is 2mR2/5 about the axis through any diameter.

Ice skaters often end their performances with spin turns, where they spin very fast about their center of mass with their arms folded in and legs together. Upon ending, their arms extend outward, proclaiming their finish. Not quite as noticeably, one leg goes out as well. Suppose that the moment of inertia of a skater with arms out and one leg extended is 3.2 kg ⋅ m2 and for arms and legs in is 0.80 kg ⋅ m2. If she starts out spinning at 5.0 rev/s, what is her angular speed (in rev/s) when her arms and one leg open outward?

The position vector of a particle of mass 1.0 kg as a function of time is given by F= (6f + 10 tj ) m where 7 is in meters and t is in seconds. Determine the angular momentum of the particle about the origin as a function of time (in kg m2/s)? Option 1 Option 2 Option 3 Option 4 Option 5 (20 tj) (120 tj) (60 tj) (30 tj) (240 tj)

A physical pendulum consists of a vertical board of of mass 5.8 kg, length 172 cm, and width 5 cm hanging from a horizontal, frictionless axle. A bullet of mass 145 g and a purely horizontal speed v impacts the pendulum at the bottom edge of the board. The board then makes a complete circle. (a) If the bullet embedded itself in the board, what is the minimum speed the bullet could have to make this so? (b) If the bullet passed through the board, reducing its speed by 1/5 its original value, what is the minimum speed of the bullet? (c) If the bullet is made of rubber and rebounds elastically, what is the minimum speed the bullet could have? (d) What is the rebound speed of the bullet?