Impulse and Impulse and Linear Momentum
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Linear Momentum
A man of mass m is sitting on the stern of a resting boat in a lake. The mass of the boat is
M = 3m, and its length is L. The man rises and walks toward the bow. Neglecting the
water resistance determine the distance D that the boat travels when the man walks from the stern
to the bow.
Two boats sail parallel to each other with the same speed. When the boats cross, a load from one boat is
thrown to the other, and then another equal load is thrown from the second boat to the first. In another
case, the loads are released simultaneously. In what case the speed of the boats will be higher after the
loads are thrown?
From the opposite ends of a platform of length L, resting on frictionless rollers, an adult and a
child are running toward each other. Determine how far the platform will slide when the adult moves from
one end of the platform to the other. It is known that the speed of the adult is twice the speed of the
child, and the masses of the platform, the adult, and the child are m1,
m2 and m3, respectively.
Impulse
A tank truck is moving at a constant speed of 20 m/s. Noticing an obstacle, the driver brakes sharply, and
the vehicle takes 8 s to stop. Assuming the tank has a shape of a horizontal cylinder 3 m long and is filled
with oil with a density equal to 0.8 g/cm3, calculate the pressure exerted by the oil on the
front wall of the tank during braking.
A body of mass m falls from a height H from rest, and another body of unknown mass also falls,
from rest, from a height h. Calculate the mass of the unknown body such that both strike the ground
with the same impulse.
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