SOLUTION: Calvin weighs 70 pounds and is walking in the front door at a rate of 3 ft/s. He is tackled by Hobbes running in the opposite direction at 15 ft/s. If Hobbes weighs 120 lbs, what i
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: Calvin weighs 70 pounds and is walking in the front door at a rate of 3 ft/s. He is tackled by Hobbes running in the opposite direction at 15 ft/s. If Hobbes weighs 120 lbs, what i
Log On
Question 1153996: Calvin weighs 70 pounds and is walking in the front door at a rate of 3 ft/s. He is tackled by Hobbes running in the opposite direction at 15 ft/s. If Hobbes weighs 120 lbs, what is the resultant speed of Calvin and Hobbes? Answer by ikleyn(53763) (Show Source):
Since the problem asks about the resultant speed of both, it means that after collision, they move
as one single body with the common speed.
In Physics, such collision is called "inelastic" collision.
For such collisions, the Linear Moment conservation low is applicable:
- = . (1)
In formula (1), and are their masses; and are their velocities before the collision;
the sum is the total mass of the "glued" body and is their common speed after collision.
The sign " - " in formula (1) says that the bodies move initially in opposite directions.
The sign of the sum in the left side of (1) determine the direction, in which the resulting mass does move.
Substitute the given data into the formula (1)
70*3 - 120*5 = (70+120)*V
and get
V = = -2.053.
ANSWER. The resulting speed is -2.053 ft/s. They move together in the same direction, as Hobbes moved before the collision.
Solved.
---------------
It is a typical Physics problem on inelastic collisions,
and from my post you learned now how to solve such problems.