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PHY 101 Kinematics in two dimensions graph representation
Supposing the change in mass M, of a rocket moving in outer space is given by the equation: M=Moe-(v-vo)/2; [Assuming that no external forces are acting on the rocket] Where M0, and v0 are the initial mass and velocity of the of the rocket respectively, v, is the final velocity of the rocket.
If the initial velocity and mass of the rocket were 72 km/h and 454 pounds (lb) respectively;
a. Tabulate the readings for M (in Kg) and v (in ms-1), (20 ≤ v ≤ 32) ms-1 at 1 ms-1 interval
b. Plot a suitable graph for the above data.
c. In a single sentence describe the relationship between M and v.
d. Linearize the above relation [Make v the independent variable and M, the dependent.]
e. Draw a table of values for the linearized independent and dependent variables for the same interval as in (a).
f. Draw a graph for the linearized relation in (d) above.
g. In a single sentence comment on the graph draw.
h. Determine the slope of the graph.
i. What is the significance of the slope?
j. What is the velocity of the rocket at 2M = M0
k. State the condition under which the initial velocity of the rocket will be equal to its final velocity.