A 5 kg rock is shot vertically upwards at 10 m/s. At 5 m above ground, it breaks into two pieces of masses 2 kg and 3 kg. The 3 kg-piece moves horizontally with a velocity of 2 m/s immediately after breaking. Calculate the horizontal distance between the initial point where the 5 kg rock is shot and the landing point of the 2 kg-piece

A ball weighing 800 grams and having a radius of 2cm moves in the direction of the positive x-axis at a speed of 5m/s. It collides with another stationary ball weighing 500 grams and also having a radius of 2cm. The collision occurs off-center, with the vertical components of the centers of the balls differing by 1cm. Following the collision, the lighter ball attains a speed of 3m/s. Determine the velocity of the heavier ball after the collision and calculate the amount of energy lost during the collision.

The mass of a particular eagle is twice that of a hunted pigeon. Suppose the pigeon is flying north at ??,2=17.5 m/s when the eagle swoops down, grabs the pigeon, and flies off. At the instant right before the attack, the eagle is flying toward the pigeon at an angle θ=47.1° below the horizontal and a speed of ??,1=42.1 m/s.   What is the speed of the eagle immediately after it catches its prey?   Speed:   What is the magnitude of the angle, measured from horizontal, at which the eagle is flying immediately after the strike?   Magnitude of angle:

6. Find the angular momentum of Earth around the Sun. Also find the angular momentum of a rod about an axis passing through its edge. The length of the rod is 4 m and its mass is 500 g.

b) Three small balls having the same diameter; A, B and C are arranged as shown in Fig Q4(b) on a smooth plane. Ball B is initially at rest. Ball A is moving to the right with a speed of 8 m/s whereas Ball C moves to the right with a speed of 2 m/s. The coefficient of restitution between Ball A and B is 0.75 while the coefficient of restitution between Ball B and C is 0.5. Compute i) the velocity of Ball A and B when Ball A hits Ball B i) the velocity of Ball B and C when Ball B hits Ball C B 3 kg 4 kg 7 kg

Ball A has a mass of 2 kg, B has a mass of 4 kg. The initial speed of A is as shown, that is, 2 m/s to the right. Ball B is initially at rest. Assuming no friction and the coefficient of restitution e = 0.8, determine the final speed and direction of balls A and B. Dice: The angle between the center lines and the center of balls A and B is 30°

A basketball (m=0.625 kg) and a baseball (m=145g) are dropped from a height of 2.5 m.  For simplicity, assume the basketball and the baseball fall the full height and collide at ground level and that the coefficient of restitution between the floor and the basketball is 0.85.  (The coefficient of restitution represents the ratio between the velocity just before collision and the velocity just after collision, the up bounce.)  Determine the velocity of the baseball after its collision with the basketball.  Assume a perfectly elastic collision between the baseball and the basketball an upward=positive sign convention and g = 10 N/kg.

The mass of a particular eagle is twice that of a hunted pigeon. Suppose the pigeon is flying north at ??,2=16.1 m/s when the eagle swoops down, grabs the pigeon, and flies off. At the instant right before the attack, the eagle is flying toward the pigeon at an angle ?=39.9°below the horizontal and a speed of ??,1=40.5 m/s.   What is the speed of the eagle immediately after it catches its prey? speed:   m/s   What is the magnitude of the angle, measured from horizontal, at which the eagle is flying immediately after the strike? magnitude of angle:   °

The child in the figure throws the ball in his hand horizontally V1=2.4 m/s  speed.The ball hits the ground with a collision coefficient of e=0.8.It rises to "h" height.The first time the ball hits the ground Find its instantaneous velocity and then its greatest height h.

3m v = 0 7. A projectile is launched at a 53° angle with a speed of 100 m/s. At the highest point, the projectile explodes into two parts, one three times heavier than the other. After the explosion, the lighter fragment's initial velocity is zero. a. What is the speed of the projectile just before the explosion? [60.2] b. What is the speed v of the heavier fragment just after the explosion? i) How high is the projectile when the explosion happens? ii) How long does it take each piece to reach the ground? с. d. i) How far horizontally is the projectile when the explosion happens? ii) If the projectile hadn't exploded, how far from the launch point would it have landed? (480.8m & 961.6m] e. What is the location of each fragment from the launch point when they hit the ground? [480.2m, 1121.76 m] f. i) What is the location of the center of mass of the two fragments when they land? ii) How does this compare with your answer in part d.ii?