A single-celled animal called a paramecium propels itself quite rapidly through water using its hair-like cilia. A certain paramecium experiences a drag force of Farag -bu? in water, where the drag coefficient b is approximately 0.330 kg/m. If the paramecium's speed v is 0.000157 m/s, what is the magnitude of the propulsion force that the creature must generate to move at this constant speed? magnitude: 2.684 x10-9 N
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- A 74507450‑kg car is travelling at 28.728.7 m/s when the driver decides to exit the freeway by going up a ramp. After coasting 404404 m along the exit ramp, the car's speed is 13.513.5 m/s, and it is ℎ=10.7h=10.7 m above the freeway. What is the magnitude of the average drag force ?dragFdrag exerted on the car?Given a drag coefficient of 0.42 kg/sec, the magnitude of the drag force (N) on a projectile moving with a speed of 8 m/s isBiologists have estimated the drag coefficient of a swimming penguin by observing the rate at which a penguin’s speed decreases in its glide phase, when it’s not actively swimming and is slowing down. In one study, a gliding 4.8 kg Gentoo penguin has an acceleration of -0.52 m/s2 when its speed is 1.60 m/s. If its frontal area is 0.020 m2, what is the penguin’s drag coefficient?
- Dr. Jekyll (m = 70kg) is riding a skateboard when he realizes the cranberry juice he’s drinking is sweetened with artificial sweetener and turns into Mr. Hyde (m = 155kg). If Dr. Jekyll was initially moving at 6.5m/s, what is Mr. Hyde’s speed? (assume no external forces act)A 118 kg box sits on a flat surface where it has a static friction coefficient of us = 0.524 anda kinetic friction coefficient of Mx = 0.318. What is the minimum horizontal force that a worker mustapply in order to get the box to begin moving?A car has a mass of 1750 kg. If the driver applies the brakes while on a gravel road, the maximum friction force that the tires can provide without skidding is about 6500 N. If the car is moving at 22 m/s, what is the shortest distance in which the car can stop safely?
- In the figure, a 5.20 kg block is sent sliding up a plane inclined at θ = 37.0° while a horizontal force F of magnitude 50.0 N acts on it. The coefficient of kinetic friction between block and plane is 0.340. What are the (a) magnitude and (b) direction (up or down the plane) of the block's acceleration? The block's initial speed is 4.40 m/s. (c) How far up the plane does the block go? (d) When it reaches its highest point, does it remain at rest or slide back down the plane?A skydiver is at an altitude of 1520 m. After 10.0 seconds of free fall, he opens his parachute and finds that the air resistance, FD , is given by the formula FD = −bv, where b is a constant and v is the velocity. If b = 0.750, and the mass of the skydiver is 82.0 kg, first set up differential equations for the velocity and the position, and then find: (a) the speed of the skydiver when the parachute opens, (b) the distance fallen before the parachute opens, (c) the terminal velocity after the parachute opens (find the limiting velocity), and (d) the time the skydiver is in the air after the parachute opens.During a military training in Camp Jizmundo, Libas, Banga, Aklan , a sky diver of weighing 82 kg ( including equipment ) falls vertically downward from an altitude of 1500 meters, and opens the parachute after 10 sec of free fall. Assume that the force of air resistance is proportional to velocity. The air drag coefficient before opening the chute is k1 = 1.65 kg/sec , when the parachute is closed and after opening the chute k2 = 26.4 kg/sec.Take g = 9.8 m/s 2 . (a) Find the speed of the sky diver when the parachute opens ? (b) Find the distance fallen before the parachute opens.
- What is the net force acting on an 85.9kg person resting on the floor? A 45.6lbs ball with an initial velocity of 2.36m/s is rolling on rough surface slope and continues to accelerate at .896 m/s squared, the slope has a kinetic friction of 285 N. How long it would take for the ball to stop? A 62.3kg astronaut throws a 2.20 lbs package with an acceleration of 0.98m/s squared. If the astronaut was pushed back with a distance of 3.25m, how much farther is the package from the starting position? How long has it been since the astronaut pushed the package? Show solutionA boy shoves his stuffed toy zebra, which has mass ?,m, down a frictionless chute, starting at a height ?D above the bottom of the chute and with an initial speed of ?.v. The toy animal emerges horizontally from the bottom of the chute and continues sliding along a horizontal surface with coefficient of kinetic friction ?.μ. At what distance ?d from the bottom of the chute does the toy zebra come to rest? Express your answer in terms of the given variables and ?,g, the acceleration due to gravity.s shown, the mass of block 1 is m1 = 4.0 kg and the mass ofblock 2 is m2 = 8.0 kg. Block 1 sits on an incline with an angle of37º. The coefficient of kinetic friction between m1 and the inclinedsurface is μk = 0.40. (a) What is the minimum coefficient of staticfriction if the system is to remain at rest? b) Assuming that μs isless than this value, what is the acceleration of the system?