Metric Conversions : Speed and Kinetic Energy of the Eurasion Plate

The Eurasian plate, has a mass of 2.5*10^22kg and travels over the Earth's interior at 7 mm yr^-1. Express this speed in m s^-1(note there are 3.15*10^7 seconds in a year).
Using the equation for kinetic energy Ek=1/2mv^2 (where m is mass and v is speed) calculate the kinetic energy of the Eurasian plate, give the final answer to the nearest order of magnitude

Solution Summary

A Metric Conversion is performed to find the speed and kinetic energy of the Eurasion plate.

The rms speed of the molecules in 1.9 g of hydrogen gas is 1800 m/s .
a) What is the total translational kineticenergy of the gas molecules?
b) What is thethermal energy of the gas?
c) 500 J of work are done to compress the gas while, in the same process, 1400 J of heat energy are transferred from the gas to the env

A 47.0-g golf ball is driven from the tee with an initial speed of 52.0 m/s and rises to a height of 24.6 m. (a) Neglect air resistance and determine thekineticenergy of the ball at its highest point. (b) What is its speed when it is 8.0 m below its highest point?

A baseball player is running to second base at 5.63 m/s. When he is 5.20 m from theplate he goes into a slide. The coefficient of kinetic friction between the player andthe ground is 0.220. What is his speed when he reaches theplate?
4.47 m/s
3.04 m/s
1.96 m/s
He stops before reaching theplate.

In the high jump, thekineticenergy of an athlete is transformed into gravitational potential energy without the aid of a pole. With what minimum speed must the athlete leave the ground in order to lift his center of mass 2.00 m and cross the bar with a speed of 0.670 m/s?

4a. Consider the parallel plate capacitor, where the surface charge density is 0.02 uC/m^2, andthe distance between theplate is 0.01m. What is the potential difference between the two plates?
4b. What would be the change in potential energy of the electron as it moves from the negative plate to the positive plate?
4c.

A solid cylinder with a radius of 10 cm and a mass of 3.0 kg is rotating about its center with an angular speed of 3.5 rad/s. What is its kineticenergy?
0.18 J
0.092 J
1.05 J
0.53 J

A truck has four times the mass of a car, however, the car is moving with twice thespeed of the truck. If Kt and Kc refer to thekinetic energies of truck and car respectively, it is correct to say which of the following?
Kt= 4Kc
Kt= 2Kc
Kt= Kc
Kt= 1/2Kc.

A uniform ball with a mass of 125 g is rolling without slipping along the horizontal surface of a table with a speed of 4.50 m/s when it rolls off the edge and it falls towards the floor, 1.10 m below. What is the rotational kineticenergy of the ball just before it hits the floor?
0.506 J
0.732 J
1.05 J