3. Alfred whizzes around the ice-skating rink and suddenly sees his small brother Aldrich at rest directly in his path. Rather than knock him over, he picks Aldrich up and continues in motion without stopping. Consider both Alfred and Aldrich as parts of one system, and there are no outside forces acting on it. Answer the following: a. Does Alfred speed increase or decrease? b. Does Aldrich speed increase or decrease? c. What is the total mass of the boys? d. What is the total momentum of the boys? e. What is the new speed of both boys after collision? Mass (kg.) Velocity (m/s) Momentum Alfred 180 kg. m/s 0 kg. m/s 180 kg. m/s 60 3. Aldrich 35 Total Momentum

Two ice skaters stand together as illustrated in Figure (a) below. They "push off" and travel directly away from each other, the boy with a velocity of v = 0.720 m/s to the left. If the boy weighs 733 N and the girl weighs 486 N, what is the girl's velocity (in m/s) after they push off? (Consider the ice to be frictionless.) ν ?

Assume that the mass of the bullet, m1, is 4.97 g, the mass of the pendulum, m2, is 1.029 kg, and h is 4.71 cm. (a) Find the velocity of the system after the bullet embeds in the block. m/s(b) Calculate the initial speed of the bullet. m/s

A stationary 2.17-kg object is struck by a stick. The object experiences a horizontal force given by F = at - bt 2, where t is the time in seconds from the instant the stick first contacts the object. If a = 1,500,000 N/s and b = 20,000,000 N/s?, what is the speed of the object just after it comes away from the stick at t = 2.55 x 103 s? %3D

Spheres A (mass 0.040 kg), B (mass 0.060 kg) and C (mass 0.080 kg) are approaching the origin as they slide on a frictionless air table. The initial velocities of A and B are v₁ = 1.60 m/s in the negative x direction and VB = 0.90 m/s at an angle 08 = 60°, as shown. All three spheres arrive at the origin at the same time and stick together. After the collision, the masses move at a speed of 0.50 m/s in the -x direction. UC y OB B UB VA A X C a. What is the x-component of the initial velocity of C? b. What is the y-component of the initial velocity of C? c. Calculate the change in mechanical energy of the collision. d. What type of collision is this? Explain.

Consider as a system the Sun with Mars in a circular orbit around it. Find the magnitude of the change in the velocity of the Sun relative to the center of mass of the system during the time Mars completes half an orbit. Assume the mass of the Sun is 5.68 x 1029 kg, the mass of Mars is 6.42 x 1023 kg, its period is 5.94 x 107 s, and the radius of its orbit is 2.28 x 10¹¹ m. Ignore the influence of other celestial objects. 19.4 x m/s