A 0.29 kg softball has a velocity of 12 m/s at an angle of 21° below the horizontal just before making contact with the bat. What is the magnitude of the change in momentum of the ball while it is in contact with the bat if the ball leaves the bat with a velocity of (a)20 m/s, vertically downward, and (b)20 m/s, horizontally back toward the pitcher? (a) Number i Units (b) Number i Units

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51. A nucleus, initially at rest, decays radioactively. In the process, it emits an electron horizontally to the east, with momentum 10.0x 10-21 kg m/s and a neutrino horizontally to the south, with momentum 5.0 x 10-2¹ kgm/s. (a) In what direction does the residual nucleus move (draw diagram, find angle )? (b) What is the magnitude of its momentum? (c) If the mass of the residual nucleus is 4.0x 10-25 kg, what is its recoil velocity?

A 2.10 kg "particle" traveling with velocity = (3.7 m/s )i collides with a 4.70 kg "particle" traveling with velocity V = (1.7 m/s )j. The collision connects the two particles. What then is their velocity in (a) unit-vector notation and as (b) a magnitude and (c) a positive (counterclockwise) angle measured from the +x axis? (a) Number i+ į Units (b) Number Units (c) Number Units

The figure below shows a bullet of mass 210 g traveling horizontally towards the east with speed 420 m/s, which strikes a block of mass 2.5 kg that is initially at rest on a frictionless table. After striking the block, the bullet is embedded in the block and the block and the bullet move together as one unit. (a) What are the magnitude (in m/s) and direction of the velocity of the block/bullet combination immediately after the impact? magnitude m/s direction ---Select--- (b) What are the magnitude (in N· s) and direction of the impulse by the block on the bullet? magnitude N.S direction ---Select--- (c) What are the magnitude (in N: s) and direction of the impulse from the bullet on the block? magnitude N.s direction ---Select-- (d) If it took 3 ms for the bullet to change the speed from 420 m/s to the final speed after impact, what is the average force (in N) between the block and the bullet during this time? (Enter the magnitude.)

For the situation in the figure below, use momentum conservation to determine (a) the magnitude and (b) the direction of the final velocity of ball 1 after the collision. The angle = 56.0⁰. (a) Number (b) Number i 101 = 0.900 m/s m₁ = 0.150 kg i ¹02=0.540 m/s m₂ = 0.260 kg Units +v Units ly +V (a) UF1x (b) (a) Top view of two balls colliding on a horizontal surface. (b) This part of the drawing shows the x and y components of the velocity of ball 1 after the collision. 35.0* 2 = 0.700 m/s ·+x

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?

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 >

A 0.34 kg softball has a velocity of 19 m/s at an angle of 35° below the horizontal just before making contact with the bat. What is the magnitude of the change in momentum of the ball while it is in contact with the bat if the ball leaves the bat with a velocity of (a)25 m/s, vertically downward, and (b)25 m/s, horizontally back toward the pitcher?

In the figure, projectile particle 1 is an alpha particle and target particle 2 is an oxygen nucleus. The alpha particle is scattered at angle 0₁ = 72.2° and the oxygen nucleus recoils with speed 1.60 x 105 m/s and at angle 0₂ = 47.0°. In atomic mass units, the mass of the alpha particle is 4.00 u and the mass of the oxygen nucleus is 16.0 u. What are the (a) final and (b) initial speeds of the alpha particle? m₁ Đ Vli m₂ 0₁ Vof x