A raindrop with initial mass 'M', from rest begins to fall due
to gravity. The drop gains mass due to the cloud, which is
proportional to its mass and velocity:
where 'k' is a constant.
a) Show that the rain drops acceleration follows the case when
the air resistance is given by:
.
b) Even though we are not assuming air resistance, what is the terminal velocity?
Homework Answers
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A raindrop with initial mass 'M', from rest begins to fall due
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A grandfather clock contains a pendulum that swings back and forth due to gravity. Model the...
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that is connected to a solid disk. The length of the rod is
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Known: ,
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What is the angular acceleration of the
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A parachutist whose mass is 65 kg drops from a helicopter hovering 1500 m above the...
A parachutist whose mass is 65 kg drops from a helicopter hovering 1500 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b 20 N-sec/m when the chute is closed and b2 90 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 25 m/sec, after...
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An object of mass 700 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity. Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant b=50 N-sec/m, determine the equation of motion of the object. When will the object strike the ground? (Hint: Here the exponential term is too large to ignore. Use Newton's method to approximate the time t when the object...
At least one of the answers above is NOT correct. (1 point) A water balloon of mass 480 grams is launched with an initial (vertical) velocity of 34 meters per second. Assume air resistance is proportional to velocity with coefficient 69 grams per second, and use 9.81 meters per second squared for the acceleration due to gravity (a) Find the height of the balloon as a function of time. (-6824348e^(0.1 4375t)+34.24348)/en(0.1 437: (b) What is the terminal velocity of the...
A parachutist whose mass is 60 kg drops from a helicopter hovering 1000 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b 30 N-sec/m when the chute is closed and b2 100 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 15 m/sec, after...
A grandfather clock contains a pendulum that swings back and
forth due to gravity. Model the pendulum as a one-dimensional rod
that is connected to a solid disk. The length of the rod is
L, and the radius of the solid disk is R. The
mass of each object is .
Known: ,
L, R, g
What is the angular acceleration of the
swinging pendulum when it is at an angle
relative to the vertical, as shown? Let counterclockwise be the
positive...
A parachutist whose mass is 65 kg drops from a helicopter hovering 1500 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b 20 N-sec/m when the chute is closed and b2 90 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 25 m/sec, after...
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