(III) A pendulum consists of a mass M hanging at the bottom end of a massless rod of length l, which has a frictionless pivot at its top end. A mass m, moving as shown in Fig. 7–35 with velocity v, impacts M and becomes embedded. What is the smallest value of v sufficient to cause the pendulum (with embedded mass m) to swing clear over the top of its arc? m FIGURE 7-35 M Problem 42.

Q: There is a mass of 3.10kg at the point (x, y) = (-1.90m, -2.80m), and a mass of 4.20kg at the point…

A: Given Two masses are given as m1=3.10 kg and m2=4.20 kg Position of m1 is x1, y1=-1.90 m, -2.80 m…

Q: ecton of be sta 5. A space vehicle, in circular orbit around the Earth, collides with a small…

A:

Q: 4. (Challenge problem) A skier of mass m starts from rest at the top of a large solid sphere of…

A: Given: The mass of the skier is m. The radius of the sphere is R. The acceleration due to gravity is…

Q: A 10kg disk is initially traveling with an initial velocity of 5m/s î when it collides with a 5kg…

A:

Q: 47. A dropped rubber ball hits the floor with a speed of 8.0 m/s and rebounds to a height of 0.25 m.…

A: 47) Initial velocity (u) = 8 msLet the mass = m final height after rebound (h) = 0.25 m

Q: Under what conditions, is linear momentum conserved? Check all that apply. There are no frictional…

A: To determine Conditions when linear momentum is conserved

Q: what is the speed of the ball at the lowest point? (b) Does the speed increase, decrease, or remain…

A: Given : Angle rotated, θ = 30°             Length of the rod, L = 2.0 m              Mass of ball, m…

Q: Does air friction affect the results for the kinetic and potential energies of the plastic ball when…

A: Conservation of energy of an object when air resistance is present: When an object moves through the…

Q: When is the mechanical energy of a system conserved? no external forces versus no friction or…

A: The mechanical energy of a system is the sum of the kinetic and potential energy of that system.

Q: A car of mass m moving at a speed v, collides and couples with the back of a truck of mass 2m moving…

A: We will use conservation of momentum and conservation of energy

Q: where v'a - vB is the relative velocity of the two objects after the collision and vB (a) Show that…

A:

Q: Determine the angular velocity of the bar about the z axis just after impact if e = 0.8.

A: To find :  Find the angular velocity of the bar about the z axis , wz

Q: A small ball of mass m is placed on top of a large ball of mass 3m.  Both balls are dropped…

A:

Q: An explosion causes an object, initially at rest, to break into two pieces. One of these pieces has…

A: Let a and b are two objects, in which object b has kinetic energy twice of the kinetic energy of a.…

Q: (2) An object initially at rest breaks into two pieces because of an explosion. One pieces has twice…

A: Initial speed of object = v = 0 m/sMass of object = mFinal speed of first piece = v1Mass of first…