A small diamond of mass 21.6 g drops from a swimmer's earring and falls through the...
A small diamond of mass 21.6 g drops from a swimmer's earring and falls through the water, reaching a terminal velocity of 2.4 m/s.
(a) Assuming the frictional force on the diamond obeys f = −bv, what is b (in kg/s)? (Round your answer to at least four decimal places.) 0.0882 Correct: Your answer is correct. kg/s
(b) How far (in m) does the diamond fall before it reaches 90 percent of its terminal speed?
Homework Answers
Here we apply Newton's law to get the net force and then convert the equation in differential form and solve.
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A small diamond of mass 21.6 g drops from a swimmer's earring and falls through the...
A small diamond of mass 21.6 g drops from a swimmer's earring and falls through the...
A small diamond of mass 21.6 g drops from a swimmer's earring and falls through the water, reaching a terminal velocity of 2.4 m/s. (a) Assuming the frictional force on the diamond obeys f = −bv, what is b (in kg/s)? (Round your answer to at least four decimal places.) 0.0882 Correct: Your answer is correct. kg/s (b) How far (in m) does the diamond fall before it reaches 90 percent of its terminal speed?
A 10.0 kg ball is released from rest in an ocean. As it falls, the water...
A 10.0 kg ball is released from rest in an ocean. As it falls, the water applies a resistive force R = −bv, where v is its velocity. At a time 6.14 s after its release, the ball is moving at half of its terminal speed. (Ignore any buoyant force.) (a) What is the ball's terminal speed (in m/s)? m/s (b) At what time after release (in s) is its speed three-fourths of its terminal speed? s (c) How far...
A small, spherical bead of mass 2.50 g is released from rest at t = 0...
A small, spherical bead of mass 2.50 g is released from rest at t = 0 from a point under the surface of a viscous liquid. The terminal speed is observed to be vT = 1.98 cm/s. (a) Find the value of the constant b in the equation R with arrow = −bv with arrow. ______________________________________N·s/m (b) Find the time t at which the bead reaches 0.632vT. __________________s (c) Find the value of the resistive force when the bead reaches...
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...
(b) An asteroid of mass M falls through the Earth's atmosphere and reaches terminal velocity. Assume...
(b) An asteroid of mass M falls through the Earth's atmosphere and reaches terminal velocity. Assume that the atmosphere is a turbulent fluid, so that a drag force is exerted on an object moving at velocity v. The quantity b is a constant. You can assume that the motion is sufficiently close to the Earth that the acceleration due to gravity is constant. (i) Explain what you understand by "turbulent flow" 121 (ii) Use Newton's Second Law to determine an...
Part 1 How fast do small water droplets of 0.23 um (23 x 108 m) diameter fall through the air under standard sea-level conditions? Assume the drops do not evaporate. Repeat the problem for standard...
Part 1 How fast do small water droplets of 0.23 um (23 x 108 m) diameter fall through the air under standard sea-level conditions? Assume the drops do not evaporate. Repeat the problem for standard conditions at 5000-m altitude. (a) For the condition that the droplets are falling at a constant velocity, what is the relation between the weight ofa drop W, the buoyancy force Fe, and the drag force F? (b) What is the expression for the weight of...
2. A 14 kg rock starting from rest free falls through a distance of 5.0 m...
2. A 14 kg rock starting from rest free falls through a distance of 5.0 m with no air resistance. Find the momentum change of the rock caused by its fall and the resulting change in the magnitude of earth's velocity Earth's mass is 6.0 x 1024 kg Show all your work, assuming the rock-earth system is closed. Answer: Type your answer here. Click or tap here to enter text.
The ink drops have a mass m = 1.00×10−11 kg each and leave the nozzle and...
The ink drops have a mass m = 1.00×10−11 kg each and leave the nozzle and travel horizontally toward the paper at velocity v = 20.0 m/s . The drops pass through a charging unit that gives each drop a positive charge q by causing it to lose some electrons. The drops then pass between parallel deflecting plates of length D0 = 1.90 cm , where there is a uniform vertical electric field with magnitude E = 7.65×104 N/C ....
n Chapter 5 we look at drag due to air resistance for falling objects. Using the...
n Chapter 5 we look at drag due to air resistance for falling objects. Using the Dv form of dr discussed in class, write a program (or solve analytically) to determine how long (sec.) and how far m) a 150 gram ball whose radius is 3.5cm would fall before it reached 75% of its terminal velocity. Assume ball falls in air whose density is 1.21 kg/m3, has a drag coefficient C .3, cross-sectional area s just the disk a sphere...
A 505-g squirrel with a surface area of 920 cm2 falls from a 4.4-m tree to...
A 505-g squirrel with a surface area of 920 cm2 falls from a 4.4-m tree to the ground. Estimate its terminal velocity. (Use therag coefficient for a horizontal skydiver. Assume that the cross-sectional area of the squirrel can be approximated as a rectangle of width 11.5 cm and length 23 cm. Note, the squirrel may not reach terminal velocity by the time it hits the ground. Give the squirrel's terminal velocity, not it's velocity as it hits the ground.) ITn/s...
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...
(b) An asteroid of mass M falls through the Earth's atmosphere and reaches terminal velocity. Assume that the atmosphere is a turbulent fluid, so that a drag force is exerted on an object moving at velocity v. The quantity b is a constant. You can assume that the motion is sufficiently close to the Earth that the acceleration due to gravity is constant. (i) Explain what you understand by "turbulent flow" 121 (ii) Use Newton's Second Law to determine an...
Part 1 How fast do small water droplets of 0.23 um (23 x 108 m) diameter fall through the air under standard sea-level conditions? Assume the drops do not evaporate. Repeat the problem for standard conditions at 5000-m altitude. (a) For the condition that the droplets are falling at a constant velocity, what is the relation between the weight ofa drop W, the buoyancy force Fe, and the drag force F? (b) What is the expression for the weight of...
2. A 14 kg rock starting from rest free falls through a distance of 5.0 m with no air resistance. Find the momentum change of the rock caused by its fall and the resulting change in the magnitude of earth's velocity Earth's mass is 6.0 x 1024 kg Show all your work, assuming the rock-earth system is closed. Answer: Type your answer here. Click or tap here to enter text.
n Chapter 5 we look at drag due to air resistance for falling objects. Using the Dv form of dr discussed in class, write a program (or solve analytically) to determine how long (sec.) and how far m) a 150 gram ball whose radius is 3.5cm would fall before it reached 75% of its terminal velocity. Assume ball falls in air whose density is 1.21 kg/m3, has a drag coefficient C .3, cross-sectional area s just the disk a sphere...
A 505-g squirrel with a surface area of 920 cm2 falls from a 4.4-m tree to the ground. Estimate its terminal velocity. (Use therag coefficient for a horizontal skydiver. Assume that the cross-sectional area of the squirrel can be approximated as a rectangle of width 11.5 cm and length 23 cm. Note, the squirrel may not reach terminal velocity by the time it hits the ground. Give the squirrel's terminal velocity, not it's velocity as it hits the ground.) ITn/s...
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