How does growth occur as a result of knowing our value?

What qualities in people do you admire most?

What are the data elements used to describe an object's position and motion? How can satellite orbits be classified (i.e. put into categories)?

Object A is moving due east, while object B is moving due north. They collide and stick together in a completely inelastic collision. Momentum is conserved. Object A has a mass of mA = 17.0 kg and an initial velocity of v0A = 8.10 m/s, due east. Object B, however, has a mass of mB = 29.0 kg and an initial velocity of v0B = 5.20 m/s, due north. Find the magnitude of the final velocity of the two-object system after the collision.

A particle that has a charge of 7.6 μC moves with a velocity of magnitude 4 × 105 m/s along the +x axis. It experiences no magnetic force, although there is a magnetic field present. The maximum possible magnetic force that the charge with the given speed could experience has a magnitude of 0.310 N. Find the magnitude and direction of the magnetic field. Note that there are two possible answers for the direction of the field.

An incompressible fluid is flowing through a vertical pipe with a constriction. The wide section is 2.00 cm in diameter and is at the top of the pipe. The pressure of the fluid in the wide section at the top is 200 kPa. The velocity of the fluid in the wide section is 4.00 m/s. The narrow section is located 4.00 m below the wide section. What is the diameter of the narrow section for the pressure of the fluid in the narrow section to equal the pressure in the wide section? (density of the fluid is 1,000 kg/m³)

A light plane attains an airspeed of 480 km/h. The pilot sets out for a destination 780 km due north but discovers that the plane must be headed 19.0

A major league pitcher stands on the pitching mound 60ft 6in from home plate throws a fastball at 105 mph. Assume both the batter and pitcher are the same height (6ft 6in) and the ball is released 55 inches above the ground when thrown horizontal.

a. How far will a 340 gram baseball travel before hitting the ground?

b. How high is the ball above the ground when it passes over home plate?

c. How long does it take to reach home plate?

Now let’s look at what happens when the ball is hit, using the setup from the last problem. When hit the ball’s speed is an average of 30% faster and leaves the bat at a 5 degree angle.

(a) How high is the ball when it passes the pitching mound?

(b) How far will the ball travel?

You drop a 1.70 kg book to a friend who stands on the ground at distance D = 12.0 m below. If your friend's outstretched hands are at distance d = 1.60 m above the ground (see the figure), (a) how much work Wg does the gravitational force do on the book as it drops to her hands? (b) What is the change ΔU in the gravitational potential energy of the book-Earth system during the drop? If the gravitational potential energy U of that system is taken to be zero at ground level, what is U (c) when the book is released and (d) when it reaches her hands? Now take U to be 100 J at ground level and again find (e) Wg, (f ) ΔU, (g) U at the release point, and (h) U at her hand

A long solenoid has a diameter of 15.3 cm. When a current i exists in its windings, a uniform magnetic field of magnitude B = 32.8 mT is produced in its interior. By decreasing i, the field is caused to decrease at the rate of 5.15 mT/s. Calculate the magnitude of the induced electric field (a) 2.99 cm and (b) 11.7 cm from the axis of the solenoid.

It is difficult to extinguish a fire on a crude oil tanker, because each liter of crude oil releases 2.80×107 J of energy when burned. To illustrate this difficulty, calculate the number of liters of water that must be expended to absorb the energy released by burning 1.00 L of crude oil, if the water has its temperature raised from 24.5 °C to 100 °C , it boils, and the resulting steam is raised to 325 °C.

Use 4186 J/(kg·°C) for the specific heat of water and 2020 J/(kg⋅°C) for the specific heat of steam.

amount of water in L= ?

One of the greatest olympic weightlifters of all times- Soviet athlete Vasily Alekseyev- was once able to life 256 kg above his head in the upright (fully standing) position. Assume that this entire weight was supported equally by both femora. Compute the amount of compression (meaning change in length) of the athletes femora due to the lifted weight, assuming a Young’s modulus for the femur of 1.8 x 10^10 Pa, a femoral length of 50cm, and a femoral diameter of 3.0 cm. Ignore the weight of the athlete himself in this calculation. Assume the femur is cylindrical in shape. Hint: remember that there are two femora.

Electromagnetic radiation is emitted by accelerating charges. The rate at which energy is emitted from an accelerating charge that has charge q and acceleration a is given by dE/dt=q^2a^2/6πϵ0c^3 where c is the speed of light.

PartA: If a proton with a kinetic energy of 6.3 MeV is traveling in a particle accelerator in a circular orbit with a radius of 0.650 m, what fraction of its energy does it radiate per second?

PartB: Consider an electron orbiting with the same speed and radius. What fraction of its energy does it radiate per second?

1. An alien race passing through our solar system turns the Sun (1.98x10³⁰ kg) into a black hole

   using advanced gravity technology.

   1. Determine the radius of the Sun if it were made into a black hole.

   2. In 2-3 sentences, describe the effects on Earth and the rest of the solar system after the

      Sun is converted to a black hole.

A car is designed to get its energy from a rotating flywheel (solid disk) with a radius of 1.50 m and a mass of 600 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 4,000rev/min.

(a) Find the kinetic energy stored in the flywheel.

(b) If the flywheel is to supply energy to the car as a 15.0-hp motor would, find the length of time the car could run before the flywheel would have to be brought back up to speed.

(i) Explain the term half life. (ii) Explain how radioactive carbon dating works . (iii) The shroud of Turin is reputedly the burial garment used to wrap the body of Jesus 2000 years ago. A sample of the Shroud of Turin contains carbon 14 (C14). The half life of C14 is 5730 years and atmospheric C14 give 12 decays per minute per gram. An archaeologist measures an average decay rate from the shroud sample to be 1.5 decays per minute. Show by calculation whether this is consistent with the Shroud dating from the time of Jesus. (