A student standing on a stationary skateboard tosses a textbook with a mass of mb = 1.2 kg to a friend standing in front of him. The student and the skateboard have a combined mass of mc = 81 kg and the book leaves his hand at a velocity of vb = 4.71 m/s at an angle of 29° with respect to the horizontal. a)Calculate the magnitude of the velocity of the student, vs, in meters per second.  b)What is the magnitude of the momentum, pe, which was transferred from the skateboard to the the Earth during the time the book is being thrown (in kilogram meters per second)?

A baseball approaches home plate at a speed of 42.0 m/s, moving horizontally just before being hit by a bat. The batter hits a pop-up such that after hitting the bat, the baseball is moving at 50.0 m/s straight up. The ball has a mass of 145 g and is in contact with the bat for 2.30 ms. What is the average vector force the ball exerts on the bat during their interaction? (Let the +x-direction be in the initial direction of motion, and the +y-direction be up.)

William has a mass of 59.8 kg and Anne has a mass of 42.9 kg, both of which have skates, are facing each other in a skating rink. William pushes Anne in the eastern direction at 3.89 m/s. Determine the final velocity of William. Assume that the surface is frictionless.

Three point masses are placed at the corners of a triangle as shown in the figure below. 90 g 2 cm 3 cm 130 g 200 g Find the center of mass of the three-mass system (in cm). (Assume that the +x-axis is to the right and the +y-axis is up along the page. Take the origin to be at the position of the 200 g mass.) XCM = cm Усм cm

A tennis ball is flying east towards the wall with a speed of 40.3 m/s. After bounced against the wall, it's flying west with a speed of 28.2 m/s.  If the mass of the ball is 0.1 kg, and the time of collision with the wall is 0.033 second, what is the magnitude of force on the wall during this process in unit of Newton?

During a collision with a wall, the velocity of a 0.200-kg ball changes from25.0 m/stowardthe wall to 20.0m/s away from the wall. If the time the ball was in contact with the wall was 0.03s, what was the magnitude of the average force the wall applied on the ball?

+ Algebraic manipulation. Two automobiles traveling at right angles to each other collide and stick together. Skid marks show the wreckage was traveling 21° from the original direction of car A. Find the original speed of car B in terms of car A's original speed (VA) if their masses are related by ßmд where ß =1.9. Fill in the missing factor below. MB UB VA Record your numerical answer below assuming three significant figures. Remember to include a "-" when necessary. HOLDe

A car (VW) and a truck (C) collide inelastically (stick together). The impact is made in a very short time of t= 0.1 s. Initial speed Vvw=40.0 m/s Cv=30 m/s Masses mvw = 900.0 kg mc = 2000.0 kg Find the final velocity of the vehicles. Find the average acceleration of each vehicle Find the average force over each vehicle. Find the initial kinetic energy. Find the final kinetic energy.

A 400 g cart is moving along a horizontal, frictionless surface at a constant speed of30 cm/s. A 100 g piece of modelling clay is dropped vertically onto the cart from above. (a) Calculate the final speed of the system (clay + cart) if the clay sticks to the cart.(b) The cart has been slowed down a little bit after the clay sticks to the cart. Whattype of force caused the (negative) acceleration of the cart? What object applied this force?(c) Before it hit the cart the clay was moving downwards and therefore possesseddownwards momentum; after it hit the cart it stopped moving downwards. Why was theclay’s momentum not conserved as it hit the cart? What type of force caused the clay to stopmoving downwards? What object now possesses the clay’s downwards momentum?

A 90.0 kg fullback running 36.9° north of east with a speed of 5.00 m/s is tackled and held onto by an 60.4 kg opponent running north with a speed of 5.34 m/s. What is the magnitude of the velocity of the players immediately after the tackle?