1) A meteor of mass 6.8 x 10^ 6 kg (roughly the size of a house) is...
Question:
1) A meteor of mass 6.8 x 10^6 kg (roughly the size of a house) is on a collision course approaches Earth at a distance 27.1 x 1000 km above the surface of the earth with relative velocity 42 km/s. Assuming all the kinetic energy it acquires on descent is lost in the collision with Earth, with what energy does the meteor impact the earth? Provide your final answer in the equivalent number of thermonuclear bombs using a conversion factor of 2000 TeraJoules per bomb.
2) In this three part question worth a total of 20 marks, you will determine the energy required to launch a 700.0 kg satellite from Cape Canaveral (28.5 degrees latitude) into a geosynchronous orbit above the Earth.
PART 1:
A geosynchronous orbit has a period of about 24 hours so that satellite places there will appear motionless (hovering in the sky) to an observer on the surface of the Earth. A geosynchronous orbit has a radius of km
PART 2:
On the launchpad, the launch rocket has an initial velocity of m/s. (NOTE: this answer is not zero!)
PART 3:
The energy required to place the satellite in this orbit is MJ
(Note-the answer should be provided in MegaJoules)
3)
A 0.500 kg mass (m) sits against a spring of force constant k= 150 N/m which has been compressed x = 0.120 m. The spring is released. The mass slides up the slope, coming to a stop at height, h = 0.169 m. Assume that there is no friction between the mass and the horizontal floor, but that there is friction between the mass and the slope. After the mass slides back down the slope, what is the speed of the mass when it reaches the floor again?
a.
1.518 m/s
b.
2.078 m/s
c.
1.820 m/s
d.
2.574 m/s
e.
None of the other answers are correct
4) The 4.9 m long ropes of a swing make an initial angle of 12.2 degrees with respect to the vertical at the highest point in the motion of a 40 kg mass child, Alice. A second child, Bobby, pushes Alice each time she reaches him, at her highest point, doing 32.6 J of work. What angle (in degrees) will Alice's swing ropes make after 5 swings?
5)
The 3.7 m long ropes of a swing make an angle of 14.78 degrees with respect to the vertical at the highest point in the motion of a 41.1 kg mass child. With what velocity (in m/s) does the child reach the bottom of the swing?
a.
1.55 m/s
b.
8.52 m/s
c.
None of the other answers is correct
d.
17.2 m/s
e.
0.03 m/s
6) A projectile is launched from Earth’s surface at 7.2 km/s. At the top of its trajectory its speed is 1.1 km/s. What is its height (in km) at this time?
7) You mistakenly drop the physics textbook (mass = 1.71 kg) on your toe from a height of 1.99 meters. Assuming it comes to rest over a distance of 1.95 cm, with what average force (in Newtons) does it strike your toe?
8) Options are ZERO/POSITIVE/NEGATIVE
1. The work done on you by gravity as you climb the stairs is
2. The work done by a string on a ball as it is whirled around in a vertical circle is
3. The work done by air friction on skydiver who falls a distance, d, at terminal velocity is
4. The work done by gravity on skydiver who falls a distance, d, at terminal velocity is
5. The work done by the Normal force the floor exerts on a box as it is pushed a horizontal distance, d, at constant velocity is
6. The work done by the net horizontal force on a box as it moves a horizontal distance, d, at constant velocity is
7. The work you do on a ball when you pick it up off the ground and throw it with a velocity, v is
8. The work the force of friction does on a car when it accelerates from rest to a velocity, v, is
9. The work a bowstring does on you when you draw the bow is
10. The work the normal force from the elevator floor does on you when you are standing in an elevator moving upwards at constant velocity is