A pitcher throws a 0.200 kg ball so that its speed is 19.0 m/s and angle is 40.0° below the horizontal when a player bats the ball directly toward the pitcher with velocity 50.0 m/s at 30.0° above the horizontal. Assume +î to be along the line from the batter to the pitcher and +ĵ to be the upward vertical direction. (Express your answers in vector form.) (a) Determine the impulse (in N · s) delivered to the ball. N.s (b) If the force on the ball increases linearly for 4.00 ms, holds constant for 20.0 ms, and then decreases linearly to zero in another 4.00 ms, what is the maximum force (in N) on the ball? N max

A 170-g billiard ball is shot toward an identical ball at velocity vi = 6.90 m/s.The identical ball is initially at rest. After the balls hit, one of them travels with velocity v1, f = (1.65 + 2.10) m/s. What is the velocity of the second ball after the impact? Ignore effects of friction during this process. (Express your answer in vector form.)

An unstable atomic nucleus of mass 1.84 x 10 20 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.10 x 102 kg, moves in the y direction with a speed of 6.00 x 10° m/s. Another particle, of mass 8.44 x 102 kg, moves in the x direction with a speed of 4.00 x 10° m/s. (a) Find the velocity of the third particle. i+ j) m/s (b) Find the total kinetic energy increase in the process.

A soccer ball with a mass of 0.427 kg approaches a player horizontally with a speed of 14.0 m/s. The player kicks the ball with her foot, which causes the ball to move in the opposite direction with a speed of 22.3 m/s. (a) What magnitude of impulse (in kg · m/s) is delivered to the ball by the player?  kg · m/s   (b)What is the direction of the impulse delivered to the ball by the player? - In the same direction as the ball's initial velocity  - Opposite to the ball's initial velocity       - Perpendicular to the ball's initial velocity  - The magnitude is zero.   (c) If the player's foot is in contact with the ball for 0.0600 s, what is the magnitude of the average force (in N) exerted on the player's foot by the ball?

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.)

If a rainstorm drops 1 cm of rain over an area of 10 km² in the period of 1 hour, what is the momentum of the rain that falls in one second? Assume the terminal velocity of a raindrop is 10 m/s.

A force in the negative direction of an x axis is applied for 36 ms to a 0.28 kg ball initially moving at 22 m/s in the positive direction of the axis. The force varies in magnitude, and the impulse has magnitude 42.8 N s. (a) What is the ball's velocity (including sign for direction) just after the force is applied? (b) What is the average magnitude of the force on the ball? (a) Number i Units (b) Number i Units

In the overhead view of the figure, a 460 g ball with a speed v of 4.5 m/s strikes a wall at an angle 0 of 20° and then rebounds with the same speed and angle. It is in contact with the wall for 14 ms. In unit-vector notation, what are (a) the impulse on the ball from the wall and (b) the average force on the wall from the ball? (a) Number i (b) Number i+ т i+ i i ·X 0 j Units j Units >

Force of a Baseball Swing. A baseball has mass 0.141 kg. If the velocity of a pitched ball has a magnitude of 46.0 m/sm/s and the batted ball's velocity is 58.0 m/sm/s in the opposite direction, find the magnitude of the change in momentum of the ball and of the impulse applied to it by the bat. If the ball remains in contact with the bat for 1.6 msms , find the magnitude of the average force applied by the bat.

A block having mass m travels along a horizontal frictionless surface with speed vx. What impulse must be delivered to the mass to reverse its direction and continue to travel with a speed of vx?