If you have a ball with a mass of 6.00kg, that has an initial velocity of vA=(2.00i + 5.00j)m/s and a final velocity of vB=(-2.00i + 8.00j)m/s, What is the change in velocity, in Polar coordinates?   a. (5.00, 323)   b. (13.0, 90.0)   c. (4.58, 143)   d. (4.58, 128)   e. (5.00, 143)

For mammals, resting heart rate scales as mass to the -1/4th power; that is, R is proportional to m^-1/4. The heart rate of a 5000 kg elephant is 30 bpm (beats per minute). What do you predict for the heart rate of a 5.0 kg monkey?

The heart of a resting adult pumps blood at a rate of 5.00 L/min. a. Convert this to cm^3/s.b. What is this rate in m^3/s?

The Hulk (200kg of pure angry muscle)collides head-on with a truck (2500kg). If the Hulk was running at 10.0m/s and the truck was moving at 15.0 m/s in the opposite direction, after they stick together, what is their speed (in m/s)? Either the Hulk or the truck needs a negative initial velocity.

If velocity =−12i + 21.5j m/s, how fast is it moving? (Express the answer to two significant figures).

A tin can is placed outside just as it starts to rain. Tabl e 1 contains measurements of the mass of water in the can taken at time intervals of 1 s. Describe the information provided in Table 1.

The force P of magnitude 50 KN is acting at 215° from the x-axis. Find the components of P in u 157° from x, and v negative 69°from x. (Draw the Figure)

Let A⃗ =(9,78∘) and B⃗ =(2,289∘), where the angles are measured counterclockwise from the positive x-axis. What is C⃗ =4A⃗ +B⃗ ? Give your answer in component form. x component: y component:

The Moon's craters are remnants of meteorite collisions. Suppose a fairly large asteroid that has a mass of 5.06 ✕ 1012 kg (about a kilometer across) strikes the Moon at a speed of 14.8 km/s. A. How much kinetic energy (in J) is lost in the collision? Such an event may have been observed by medieval English monks who reported observing a red glow and subsequent haze about the Moon. B. In October 2009, NASA crashed a rocket into the Moon, and analyzed the plume produced by the impact. (Significant amounts of water were detected.) Answer part (a) and (b) for this real-life experiment. The mass of the rocket was 2000 kg and its speed upon impact was 9000 km/h. speed of recoin (in m/s) loss of kinetic energy (in J)

A tourist purchases a car in England and ships it home to the United States. The car sticker advertised that the car's fuel consumption was at the rate of 40 miles per gallon on the open road. The tourist does not realize that the U.K. gallon differs from the U.S. gallon: 1 U.K. gallon = 4.545 963 1 liters1 U.S. gallon = 3.785 306 0 liters For a trip of 731 miles (in the United States), how many gallons of fuel does (a) the mistaken tourist believe she needs and (b) the car actually require?