Three vectors →A , →B, and →C have the following x and y components:   x-component y-component →A -9.00 6.00 →B 8.00 -6.50 →C 0.00 5.50 What is the magnitude of R→=A→−B→−C→ ?

A 18.3kg object, initially at rest, explodes into 3 pieces! After the explosion, Piece A (3.3kg) is moving 6m/s at an angle 64° North of East. Piece B (7.6kg) is moving 3.4m/s at an angle 76° South of West. The third piece, Piece C, is not shown after the explosion. Object (initial) Piece A (final) Piece B (final) Piece C (final) |p|x unit What is the mass of Piece C? unit v How fast did Piece C move after the explosion? unit What direction did Piece C move after the explosion? Iply unit before after B A W+ N ·50 S E

A plasticine ball with a momentum of 4.0 kg•m/s [F] hits a wall and stops. What is the change in the ball's momentum? O 4.0 kg-m/s [B] 4.0 kg•m/s [F] 0.0 kg-m/s 8.0 kg-m/s [B] 8.0 kg-m/s [F]

You're rolling solid rubber balls on the kitchen floor. Ball 1 has a density of 1.16 × 103 kg/m3 and a radius of 28.0 mm. Ball 2 has an unknown density and a radius of 43.0 mm and is initially at rest. You roll ball 1 at an initial speed of 3.00 m/s, and the two balls collide head-on. Ball 1 reverses direction and comes back to you at 2.00 m/s, and after the collision, the speed of ball 2 is 1.00 m/s. The positive x axis is in the direction of ball 1's initial motion. A.What is the magnitude of the initial momentum of ball 1? Express your answer with the appropriate units.   B. What is the magnitude of the final momentum of ball 1? Express your answer with the appropriate units.   C. What is the magnitude of the initial momentum of ball 2? Express your answer with the appropriate units.

Two rolling carts are moving toward each other at the same constant speed of 10m/s. Cart 1 travels to the right with a mass m1 = 0.2kg and while Cart 2 travels to the left with a mass m2 = 0.4kg. Momentum p→ is a vector defined as p→=mv→. Draw a momentum vector for each cart.

The Moon's craters are remnants of meteorite collisions. Suppose a fairly large asteroid that has a mass of 5.06 ✕ 1012 kg (about a kilometer across) strikes the Moon at a speed of 14.8 km/s. A. How much kinetic energy (in J) is lost in the collision? Such an event may have been observed by medieval English monks who reported observing a red glow and subsequent haze about the Moon. B. In October 2009, NASA crashed a rocket into the Moon, and analyzed the plume produced by the impact. (Significant amounts of water were detected.) Answer part (a) and (b) for this real-life experiment. The mass of the rocket was 2000 kg and its speed upon impact was 9000 km/h. speed of recoin (in m/s) loss of kinetic energy (in J)

15 75 Vb+w だ h A block of mass m,-1.28 kg slides to the right at a speed of 2.46 m/s on a frictionless horizontal surface, as shown in the figure. It "collides" with a wedge of mass mw, which moves to the left at a speed of 1.13 m/s. The wedge is shaped so that the block slides seamlessly up the Teflon (frictionless!) surface, as the two come together. Relative to the horizontal surface, block and wedge are moving with a common velocity Vb+w at the instant the block stops sliding up the wedge. a) If the block's center of mass rises by a distance h = 0.38 m, what is the mass of the wedge? The gravitational acceleration is g = 9.8 m/s². Express your answer in kg.

Two objects collide. Object 1 has a momentum of 49 kg•m/s, and Object 2 has a momentum of 96 kg•m/s before the collision. What is the total momentum after the collision?

10:14 PM Fri Dec 4 100% Here are seven particles each with the same magnitude of momentum |P|| 37 kg · m/s but with different directions of momentum and different positions relative to location A. The distances shown in the diagram have these values: w = 17 m, h = 27 m, and d = 26 m. w w (1) (2) (3) h (5) (6) (4) 90° (7) Calculate the z component of angular momentum LAz for each particle (x to the right, y up, z out of the page). Make sure you give the correct sign. (1) LAz kg · m2/s (2) LAz kg · m2/s (3) LAz kg · m2/s (4) Lo7 = kg : m?/s

A child on ice skates with a mass of 35 kg and a velocity of 7.5 m/s [S] undergoes a collision with a second child on ice skates with a of mass 45 kg and a velocity of 3.5 m/s [S30°E]. If the two children become entangled during the collision, determine their final velocity.