To test the speed of a bullet, you create a pendulum by attaching a 3.20 kg wooden block to the bottom of a 1.10 m long, 0.800 kg rod. The top of the rod is attached to a frictionless axle and is free to rotate about that point. You fire a 10 g bullet into the block, where it sticks, and the pendulum swings out to an angle of 38.0°. What was the speed of the bullet? (Treat the wooden block as a particle.)

A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.9 × 1010 m (inside the orbit of Mercury), at which point its speed is 8.9 x 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 10¹2 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed= m/s

A pitcher bestows a power of P = 206 W to a baseball of mass m = 0.095 kg for a period of t = 0.28 s. What is the ball's speed in m/s when it leaves his hand?

A system consists of six particles. How many terms appear in the expression for the total gravitational potential energy of the system? O 15 O 6 O 5 О 36 О 30

An Atwood's machine consists of two masses m₁ and m₂ joined by a light cord which passes over a pulley. Initially, the heavier mass is positioned a distance h above the floor. The masses are released from rest. At what speed are the masses moving when the heavier mass strikes the floor? Here m₁ = 4kg, m₂ = 6kg, and h = 3m. The cord is long enough so that the lighter mass does not reach the pulley. Devices like this are used in the construction of elevators. (3.4 m/s)

Two planets of mass 2 x 1025kg are release from rest 9.0 x 1012 m apart. What is the speed of the planets when they are half this distance apart?

To form a pendulum, a 0.092 kg ball is attached to one end of a rod of length 0.84 m and negligible mass, and the other end of the rod is mounted on a pivot. The rod is rotated until it is straight up, and then it is released from rest so that it swings down around the pivot. When the ball reaches its lowest point, what are (a) its speed and (b) the tension in the rod? Next, the rod is rotated until it is horizontal, and then it is again released from rest. (c) At what angle from the vertical does the tension in the rod equal the weight of the ball? (d) If the mass of the ball is increased, does the answer to (c) increase, decrease, or remain the same? (a) Number i (b) Number (c) Number (d) Units Units Units #

In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core is actually far from spherical, in this problem we’ll model it as a sphere with a mass of 1.0 x 1013 kg and a radius of 1.6 km. If a rock were dropped from a height of 1.0 m above the comet’s surface, how long would it take to hit the surface?

A 19 kg. rock is thrown straight down toward the Earth from a distance of 10 earth radii above the surface of the Earth with a speed of 5400 m/s. The radius of the Earth is 6370000 meters. The mass of the earth is 5.98e+24 kg. (A)Find the initial kinetic energy of the rock (in J)     (B)Find the initial potential energy (in J) of the rock (HINT: the "r" in the potential energy formula is measured from the CENTER of the Earth).     (C)Find the total initial energy (in J) of the rock     (D)What is the potential energy (in J) of the rock after it has fallen 4 Earth radii from its original position.     (E)Using the Conservation of Energy, find the speed (in m/s) of the rock after it has fallen 4 Earth radii from its original position.

A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 5 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.6 x 10* m/s. Its farthest distance from the Sun is beyond the orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed = m/s Additional Materials eBook O Show My Work (Optional)