A baseball pitcher  (m = 85 kg)  is initially standing at rest on an extremely slippery, icy surface. He then throws a baseball  (m = 0.14 kg)  with a horizontal velocity of 54 m/s. What is the recoil velocity of the pitcher? (Assume that the positive direction is where the baseball is thrown. Indicate the direction with + or -

A 48.8 kg archer, standing on frictionless ice, shoots a 116 g arrow at a speed of 96.88 m/s. What is the recoil speed of the archer?

A cannon is mounted on a railway flatcar, the muzzle elevated to 33.2° and pointed in the direction of the track. The cannon fires a 0.80-metric-ton projectile at 0.90 km/s. (a) If the flatcar and cannon together have a mass of 36.0 metric tons (not including the projectile), what is the initial recoil speed of the flatcar? m/s (b) In this problem, it appears that momentum in the y-direction is not conserved. Explain what happens to it.

Two identical pucks collide elastically on an air hockey table. Puck 1 was originally at rest; puck 2 has an incoming speed of 5.30 m/s and scatters at an angle of 30° with respect to its incoming direction. What is the velocity (magnitude in m/s and direction in degrees counterclockwise from the +x-axis) of puck 1 after the collision? (Assume the +x-axis is to the right.) :? 30° %D magnitude 3.00 X m/s direction 60 ° counterclockwise from the +x-axis

The lead female character in the movie Diamonds Are Forever is standing at the edge of an offshore oil rig. As she fires a gun, she is driven back over the edge and into the sea. Suppose the mass of a bullet is 0.017 kg and its velocity is +662 m/s. Her mass (including the gun) is 52 kg. (a) What recoil velocity does she acquire in response to a single shot from a stationary position, assuming that no external force keeps her in place? (b) Under the same assumption, what would be her recoil velocity if, instead, she shoots a blank cartridge that ejects a mass of 5.0 x 10-4 kg at a velocity of +662 m/s? (a) (b) < < i

A hockey puck is sliding on a frictionless ice, in an eastward direction. It collides with a second hockey puck, initially stationary, which then goes off in the Northern direction. What direction is the first hockey puck moving after the collision?

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Anthony is just relaxing since its summer vacation and actually put on some weight too and is now 90 kg. He decides to hit up Lake Thunderbird in his 40 kg boat and chill. Anthony reaches the center of the lake and stops moving and then decides to start fishing. He starts to fish but accidentally threw the 10kg pole at 5 m/s horizontally away from him. Suddenly, the boat starts moving. What is the velocity (magnitude and direction) of Anthony and the boat if the water really doesn’t have much friction with the boat?

The figure below shows a man in a canoe on a lake. The man's mass is 74 kg, and the canoe's is 119 kg. The man and canoe are initially at rest when the man throws a package of mass  m = 15 kg  horizontally to the right with a speed of  vi = 4.6 m/s.  What is the velocity of the canoe after the package is thrown? Neglect any resistance force from the water. (Give the magnitude in m/s, and select the correct direction from the options given.)

= A small block of mass m. = 0.540 kg is released from rest at the top of a frictionless, curve-shaped wedge of mass m₂ 3.00 kg, which sits on a frictionless, horizontal surface as shown in Figure a. When the block leaves the wedge, its velocity is measured to be v₁ = 3.00 m/s to the right as shown in Figure b. m1 mi m2 ml? b (a) What is the velocity of the wedge after the block reaches the horizontal surface? m/s to the left (b) What is the height h of the wedge? m