A small block of mass m1 = 0.770 kg is released from rest at the top of a curved wedge of mass m2 = 7.50 kg, which sits on a frictionless horizontal surface. When the block leaves the wedge, its velocity is measured to be 4.00 m/s to the right. (a) What is the velocity of the wedge after the block reaches the horizontal surface? (Enter the magnitude of the velocity.) m/s (b) What is the height h of the wedge? m

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.)

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Two masses are connected by a string over a pulley as shown (in an Atwood's machine). m₂ is more massive than m₁ as shown. Assume the pulley and string are massless and frictionless. The masses of m₁and m₂ are:m₁ = 12 kg and m₂ = 35 kg. The two masses are initially held at rest. Determine the magnitude of the acceleration a of the combined system when they are released. (g=9.81 m/s²) O 9.8 m/s^2 O 4.8 m/s^2 O 6.9 m/s^2 7782 O 2.4 m/s^2

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?

8.9 · A 0.160-kg hockey puck is moving on an icy, frictionless, horizontal surface. At t = 0, the puck is moving to the right at 3.00 m/s. (a) Calculate the velocity of the puck (magnitude and direction) after a force of 25.0N directed to the right has been applied for 0.050 s. (b) If, instead, a force of 12.0 N directed to the left is applied from 1 = 0 to t = 0.050 s, what is the final velocity of the puck?

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.

Two ice skaters stand together as illustrated in Figure (a). They "push off" and travel directly away from each other, the boy with a velocity of v = +0.42 m/s. If the boy weighs 718 N and the girl 450 N, what is the girl's velocity after they push off? (Consider the ice to be frictionless.)