1 Starting at t = 0, a horizontal net force É = (0.280 N/s)tî + (-0.450 N/s²)r²j_is applied to a box that has an initial momentum 3 = (-3.00 kg • m/s)î + (4.00 kg · m/s)ĵ. What is the momentum of the box at t = 2.00 s? %3D
1 Starting at t = 0, a horizontal net force É = (0.280 N/s)tî + (-0.450 N/s²)r²j_is applied to a box that has an initial momentum 3 = (-3.00 kg • m/s)î + (4.00 kg · m/s)ĵ. What is the momentum of the box at t = 2.00 s? %3D
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Transcribed Image Text:B. Required Problems. Solve the 2 problems below using calculus.
1 Starting at t = 0, a horizontal net force É
(0.280 N/s)tî + (-0.450 N/s²)r²j_is applied to a box that
has an initial momentum 3 = (-3.00 kg • m/s)î + (4.00 kg ·
m/s)ĵ. What is the momentum of the box at t = 2.00 s?
2
At time t = 0, a 2150-kg rocket in outer space fires
an engine that exerts an increasing force on it in the +x-direction.
This force obeys the equation F, = At², where t is time, and has a
magnitude of 781.25 N when t = 1.25 s. (a) Find the SI value of
the constant A, including its units. (b) What impulse does the
engine exert on the rocket during the 1.50-s interval starting 2.00 s
after the engine is fired? (c) By how much does the rocket's veloc-
ity change during this interval?
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