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

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.

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:   °

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?

The laboratory balances have a precision of 0.01g. If you are obtaining the mass of an approximately 5 gram sample, which of the following is a proper way to record this measurement in your laboratory notebook and on your report sheets.     4.92 g     4.92     4.925 g     5.00 g

During a fireworks display, a 0.280-kg bottle rocket approaches the top of its trajectory and explodes into two pieces as in the figure. The first piece (Piece 1) has mass 0.180 kg and the second piece (Piece 2) has mass 0.100 kg. Immediately after the explosion, the first piece is observed traveling to the left at a speed of4.30 m/sand the second piece is observed traveling at an angleθ = 39.0°above the horizon at a speed of 17.0 m/s.   Determine the components of the bottle rocket's velocity immediately before the explosion. Vxi  =    m/s Vyi  =    m/s

Spheres A (mass 0.040 kg), B (mass 0.060 kg) and C (mass 0.080 kg) are approaching the origin as they slide on a frictionless air table. The initial velocities of A and B are v₁ = 1.60 m/s in the negative x direction and VB = 0.90 m/s at an angle 08 = 60°, as shown. All three spheres arrive at the origin at the same time and stick together. After the collision, the masses move at a speed of 0.50 m/s in the -x direction. UC y OB B UB VA A X C a. What is the x-component of the initial velocity of C? b. What is the y-component of the initial velocity of C? c. Calculate the change in mechanical energy of the collision. d. What type of collision is this? Explain.

Q.20. As given in the figure, the surface is friction less. The two objects collide, stick together and move together after the collision. Find the magnitude of final velocity in m/s? (write numerical value only) m, =3 Kg Vi =8m/s m = +kg Syu8 = Vz =10m/s Me