Data analysis
part a: claim: the cart will have a change in mechanical energy of 48 / as its au
by 12 m.
ollect evidence about the physical meaning of the area under the line on the graph that can be
used to support the claim above. write an equation (including units) for the area between the force
line and the x-axis between x = 0 m and x = 12 m
evidence: the area under the line of the force vs. displacement graph is equal to
_. this area is also known as the
number units number units number units
physical quantity
done on the object.
reasoning: fill in the blanks of the following statement:
the claim makes sense because the
- done on the cart is also equal to the change in
of the cart.
part b: explain how the graph above could be used to determine the final speed of the cart after 12 m.

Your starship, the aimless wanderer, lands on the mysterious planet mongo. as chief scientist-engineer, you make the following measurements: a 2.50-kg stone thrown upward from the ground at 14.0 m/s returns to the ground in 5.70 s ; the circumference of mongo at the equator is 2.20×10^5 km ; and there is no appreciable atmosphere on mongo. (a) the starship commander, captain confusion, asks for the following information: what is the mass of mongo? (b) if the aimless wanderer goes into a circular orbit 2.20×10^4 km above the surface of mongo, how many hours will it take the ship to complete one orbit? (c) an unmanned spacecraft is in a circular orbit around the moon, observing the lunar surface from an altitude of 44.0 km . to the dismay of scientists on earth, an electrical fault causes an on-board thruster to fire, decreasing the speed of the spacecraft by 23.0 m/s . if nothing is done to correct its orbit, with what speed (in km/h) will the spacecraft crash into the lunar surface?