calculate the largest asteroid that an astronaut could escape from by jumping.

This problem is difficult because it involves so many concepts in one problem. It is necessary for the emphasis to be on clear and logical discourse for each step of the solution. Each step must be clearly explained. The problem is as follows. Calculate the largest asteroid that an astronaut could escape from by jumping vertically. Assume the asteroid has the same density as earth, and that the astronaut has a 1 meter vertical jump. Other assumptions must be made and must be reasonable. I know one equation that must be used will be newton's universal law of gravitation, but that's about the extent of my knowledge. Thanks for your help.

momentum 1

1. A pitcher claims he can throw a 0.145 kg baseball with as much momentum as a speeding bullet. Assume that a 3.00 g bullet moves at a speed of 1.50 x 10^3 m/s. a. What must the baseball's speed be if the pitcher's claim is valid? B. Which has greater kinetic energy, the ball or the bullet? 2. What is the relationship between impulse and momentum? 3. A grocery shopper tosses a 9.0 kg bag of rice into a stationary 18.0 kg grocery cart. The bag hits the cart with a horizontal speed of 5.5 m/s toward the front of the cart. What is the final speed of the cart and bag? 4. During practice, a student kicks a 0.40 kg soccer ball with a velocity of 8.5 m/s to the south into a ... click for more

Circular Motion and gravitational attraction

1. If a car goes around a curve at half the speed, the centripetal force on the car is... a.) twice as big. b.) four times as big. c.) half as big. d.) one-fourth as big. 2. What is the gravitational force between two trucks, each with a mass of 2.0 x 10^4 kg, that are 2.0 m apart? 3. The gravitational force between two masses is 36 N. What is the gravitational force if the distance between them is tripled? (G=6.673 x 10^-11 Nxm^2/kg^2). 4. A car goes around a curve of radius r at a constant speed v. What is the direction of the net force on the car? Please show your work, the formula(s) used and the answer.

dopplers effect

Two automobiles are equipped with the same single frequency horn. When one is at rest and the other is moving toward an observer at 15.9m/s, a beat frequency of 5.60Hz is heard. What is the frequency the horns emit? Assume T= 20 degrees celsuis

frequency

The frequency of a steam train whistle as it approaches you is 538Hz. After it passes you, its frequency is measured as 509 Hz. how fast the train moving ( assume constant velocity)? Assume the speed of sound is 343m/s.