m L M

An object at rest on a flat, horizontal surface explodes into two fragments, onewith mass 100g, the other 700g. The heavier fragment slides 8.2m before stopping.How far does the lighter fragment slide? Assume both have the same coefficient ofkinetic friction.

The Cavendish balance shown in the figure below has two large lead balls, each of mass M = 1.5 kg,and two smaller lead balls, each of mass m = 0.8 kg. The lengths of the suspended rod to which the twosmaller balls are attached and the fixed rod to which the larger balls are attached are both 40 cm asmeasured from the center of each lead ball. If the angle between the centers of the large and smallballs is  = 22 degrees with respect to the rotational axis established by the quartz fiber, find the force ofgravitational attraction between each pair of large and small balls.

A 0.005 00-kg bullet traveling horizontally with a speed of 1.00 3 103 m/s strikes an 18.0-kg door, embedding itself 10.0 cm from the side opposite the hinges as shown in Figure P11.30. The 1.00-m wide door is free to swing on its frictionless hinges. (d) At what angular speed does the door swing open immediately after the collision just after the bullet embeds itself in the door? (e) Calculate the initial momentum of the bullet–door system and determine whether it is less than or equal to the kinetic energy of the bullet before the collision.

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?

An 85 kg man stands in a very strong wind moving at 14 m/s at torso height. As you know, he will need to lean in to the wind, and we can model the situation to see why. Assume that the man has a mass of 85 kg, with a center of gravity 1.0 m above the ground. The action of the wind on his torso, which we approximate as a cylinder 50 cm wide and 90 cm long centered 1.2 m above the ground, produces a force that tries to tip him over backward. To keep from falling over, he must lean forward. a. What is the magnitude of the torque provided by the wind force? Take the pivot point at his feet. Assume that he is standing vertically.b. At what angle to the vertical must the man lean to provide a gravitational torque that is equal to this torque due to the wind force?

A basketball rolls across a classroom floor without slipping. with its center of massmoving at a certain speed. A block of ice of the same mass is set sliding across thefloor with the same speed along a parallel line. Which object has more (i) kineticenergy and (ii) momentum? (a) The basketball does. (b) The ice does. (c) The twoquantities are equal. (iii) The two objects encounter a ramp sloping upward. Whichobject will travel farther up the ramp? (a) The basketball will. (b) The ice will. (c) Theywill travel equally far up the ramp.

A 7 meter long stick is suspended from two strings.  The stick has a mass of 17kg that is uniformily distributed.  A 9kg dog is sitting 0.7m from the left end of the stick.  Where is the center of mass? How do you know?

A kid's merry-go-round in a park is a thin 150 kg disk (I = ½ MR2) with a radius of 3 m mounted to rotate freely about a central axis. On the edge of %3D the disk is an essentially massless bar. A 25 kg child jumps onto the bar (tangentially to the outer rim of the disk) at a speed of 12 m/s and a distance of 3 m from the rotation axis. If we think of the child as being essentially a point mass, what is the angular velocity of the system after the collision?

A projectile of mass .050 kg moves to the right with a speed of 4.0 m/s. The projectile strikes and sticks to the end of a rod of mass 0.8 kg, at length 1.2 m from the rod's centre. The rod may rotate freely around a stationary axle pinned through the rod's centre of mass. Find the magnitude of the angular velocity, ω, of the system right after the collision.