Mathematical Motion

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Transcript Mathematical Motion

Conservation of Momentum Practice
A sticky 6kg lump of clay moves toward
the East at 2 m/s. A second ball of clay
of 2kg moves to the West at 10 m/s.
When the two collide and stick together,
what is their combined final speed?
A sticky 50g lump of clay moves toward
the East at 4 mph. Another 20g ball of
clay also moves to the East at 2 mph.
When the two collide and stick together,
what is their combined final speed?
Mathematical
Motion
The numbers and formulae
behind the pictures
A 30 kg box sits on a
frictionless surface. If the box is
pushed from rest with a 90N
force how far will it move after 5
seconds?
A dog runs away from a
ferocious Siamese cat at a rate
of 180 meters per minute. The
cat chases the dog for five
minutes before giving up
catching the dog. How far was
the chase?
A resting dog, scared by a
ferocious Siamese cat, runs away
and gets to top speed of 180
meters per minute in 5 minutes at
which time the cat gives up
catching the dog. How far was the
chase?
A 150N force is applied to a
25 kg box at rest. After
5 seconds the box has moved
50 meters. What is the frictional
force?
“Slowing Down:” A car traveling
west changes speed from 25 m/s
to 10 m/s in 5 minutes. What is
the acceleration of the car?
A rock falls from rest and attains a
speed of 39.2 meters per second
after 4 seconds of falling. What is
the acceleration of the falling rock?
A car accelerates at 3 m/s2 for 10
seconds. If the initial speed of the car
was 5 m/s, how far did it travel during
those 10 seconds?
A cat is dropped from a tall building
and hits the ground 5 seconds
later. (a) How fast is the cat moving
when it hits the ground? (b) How
far did the cat fall?
A 10 kg box is pulled by a 50 N force against a
15 N force of friction. The box starts from rest
and is pulled 8 meters.
What is the acceleration of the box?
How long does it take to go the 8 meters?
What is its final velocity?