2 Three pieces of putty are launched at one another. They are all aimed at the origin of a Cartesian coordinate system and are launched so that they collide at the same time. The first piece with mass mı = 7.5 kg comes in from the right along the x-axis with speed vi = 6.3 m/s. The second piece with mass m2 = 2.8 kg comes from above along the y-axis with a speed v2 = 29.2 m/s. At what angle with respect to the positive x-axis must the third piece of putty come in so that when all three hit and stick together, they remain at rest? (in deg) 10. АО 59.98 BO 70.17 CO 82.10 DO 96.06 ЕО 112.39

Consider a system of two particles in the xy-plane. For the first particle, Its mass is m₁ = 1.30 kg Its position is 7¹₁ = (1.202 + 2.203) m Its velocity is ₁ = (2.2002 + 0.100)) m/s For the second particle, Its mass is m₂ = 2.90 kg Its position is 7¹2 = (-3.60% - 2.403) m Its velocity is v₂ = (2.2001 - 2.000)) m/s a. Find the position of the center of mass of the system. 7CM = im+m b. Determine the velocity of the center of mass. UCM = 2 m/s + m/s c. What is the total linear momentum of the system? Pr = kg-m/s + kg-m/s

The figure gives an overhead view of the path taken by a 0.170 kg cue ball as it bounces from a rail of a pool table. The ball's initial speed is 2.50 m/s, and the angle 0₁ is 65.0°. The bounce reverses the y component of the ball's velocity but does not alter the x component. What are the final magnitude and direction of the cue ball? 0₁ 0₂

A dog, with a mass of 155 kg, jumps horizontally at a speed of 6.0 m / s in a boat that is floating at rest. After the jump, the boat and the dog move forward with a velocity of 2.2 m / s. Find the mass of the boat.

You are standing on a large sheet of frictionless ice and holding a large rock. To get off the ice you throw the rock, so it has a velocity Of 12 m/s at an angle of 35° above the horizontal. If your mass is 70 kg and the rock's mass is 15 kg, find your speed after you threw the rock.

An overnight rainstorm has caused a major roadblock. Three massive rocks of mass m₁ = 514 kg, m₂ = 7.00 x 10² kg, and m3 = 366 kg have blocked a busy road. The rocks are lined up from left to right in the order m₁, m2, and m3. The city calls a local contractor to use a bulldozer to clear the road. The bulldozer applies a constant force to m₁ in order to slide the rocks off the road. Assuming the road is a flat, frictionless surface and the rocks are all in contact, what force, FA, must be applied to m₁ to slowly accelerate the group of rocks from the road at 0.400 m/s²? Use the value for FA to find the force, F12, exerted by m₁ on m₂. FA = F12 = N N

A 72-kg boy and a 48- kg girl, both wearing ice skates face each other at rest on a skating rink. The boy pushes the girl, sending her eastward with a speed of 6.8m / s . What is the speed and direction of the boy?

A mine car, whose mass is m1 = 441 kg, rolls at a speed of v1 = 0.517 m/s on a horizontal track, as the drawing below shows. An m2 = 164 kg chunk of coal has a speed of v2 = 0.815 m/s when it leaves the chute. Assume θ = 27.5°. Determine the velocity of the car/coal system after the coal has come to rest in the car.

An incoming tennis ball (mass 0.060 kg) has a speed of 14 m/s. The player hits the ball with a racquet, giving the ball a speed of 30 m/s in the opposite direction. If the contact time is 0.005 s, what is the average force of the racquet on the ball?

Problem 23:  Three beads are placed on the vertices of an equilateral triangle of side d = 4.1 cm. The first bead of mass m1 = 135 g is placed on the top vertex. The second bead of mass m2= 55 g is placed on the left vertex. The third bead of mass m3 = 85 g is placed on the right vertex.  Part (a)  Write a symbolic equation for the horizontal component of the center of mass relative to the left vertex of the triangle.   Part (c)  Write a symbolic equation for the vertical component of the center of mass relative to the base of the triangle.