An oil droplet, mass 0.2 g, falls from rest in air. For a velocity of 40 cm/sec, the force due  to air resistance is 160 dynes. Assuming air resistance force proportional to velocity: a) Find the velocity and distance traveled as a function of time. b) Find the limiting  velocity.

Q: A wooden block weighing 10 lb is dropped from a height of 4100 ft with no velocity. As it falls, the…

A: Given, weight of wooden block is 10 lb height is 4100 ft and air resistance is v/7.5

Q: A runaway baby buggy that has a mass of 33 kg travels at a speed of 1.12 m/s down a level sidewalk.…

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Q: Show that the thal p0rce needed to drag a box gt constant speed v across a horizontal surace with…

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Q: A lift comes down from rest with an acceleration of 7 ft/s2 into it attained a velocity of 21 ft/s.…

A: Lift came down with  Initial velocity = v = 0 ft/s  Final velocity = V = 21 ft/s  Acceleration = A =…

Q: Use false position method to determine the drag coefficient needed so that a 95-kg bungee jumper has…

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Q: A parachutist of mass 60.5 kg jumps out of a stationary hot air balloon. Use Eq. (1.10): v (t) = =…

A: The equation of the velocity is given by, Determine the velocity at 0 seconds.

Q: Ball weighs 0.25 kg is thrown upward with an initial velocity of 30 m/s. Calculate the maximum…

A: Given: Mass of the ball is m=0.25 kg Initial velocity of ball is u= 30 m/s Drag force on the ball is…

Q: A rocket with a lift-off mass 20,000 kg is blasted upwards with an initial acceleration of  5.0 m…

A: Mass of the rocket, m = 20,000 kg  Initial acceleration, a = 5 m/s2  Acceleration due to gravity, g…

Q: On an inclined surface with angle of 25o from the horizontal, a block slides down the incline with a…

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Q: A 5-kg block at rest is pulled by a constant horizontal force of 10 N that cause it to accelerate.…

A: Here we have to use Newton's 2nd law to get the acceleration of the block in 1st and 3rd part Then…

Q: Assume that you measure the time of flight as 1.32 seconds. If the horizontal distance travelled…

A: Let the initial speed be u and the direction of projection be θ. For motion in horizontal direction,…

Q: A drone falls from the height of 250 m and suffers a shock when it hits the ground. If the duration…

A: Given: x=250m t=15s g=9.81m/s2

Q: a body mass of 2 kg. is dropped with no initial velocity and encounters an air resistance that is…

A: Given: Mass of body, M = 2 kgInitial velocity, u = 0 m/s The object encounters air resistance that…

Q: A 2.50-kg fireworks shell is firedstraight up from a mortar and reaches a height of 110 m.…

A: Given:   mass, m  =  2.5 kg  height,  h = 110 m length of tube, d = 0.45 m

Q: I performed a lab using a toy car to go down a ramp that was positioned at different heights. For…

A: According to the conservation of energy, Ks+Us=KB+US

Q: A computer hard drive is accidentally dropped on the ground. When it hits the ground, it comes to a…

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Q: 2.7. It is reckoned that the driver of a vehicle with good brakes on a dry road may take a distance…

A: Given:-  speed of the car is u = 50 km/h =13.89 m/s  After applying break the car stop after…

Q: You bail out of a helicopter and pull the ripcord of your parachute. Now the air resistance…

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Q: Prove that the distance covered by a falling body during n second of its mot is (n - 1/2) * g…

A: Given:-  The body moves from rest with constant acceleration, The body in a condition of free fall.…

Q: What is the final velocity of acar originally traveling at 50.0 km/h that decelerates at a rate of…

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Q: 2.3. A crate of mass 50 kg slides on a horizontal floor under the action of an applied horizontal…

A: Given: (a) Mass of the crate: m=50 [kg] Applied force: Fa=200 [N] Frictional force: Ff=120 [N] (b)…

Q: body weighing 2,225N is being dragged along a rough horizontal plane by a pull of 445N directed at…

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Q: Q1: A gun fires a porjectile of mass 10 kg . The muzzle velosity is 163 m/s . if the barrle be…

A: mass of projectile (m) = 10 kg Muzzle velocity (v) = 163 msAngle (θ) = 17o

Q: Provide complete and manual solution for the following problem: A block of wood has a weight of 500…

A: Solution:   Given Values,   time(t)=8 sec Weight(W)=mg=500 N

Q: Calculate the velocity of the car at the end of the ramp just before it starts its horizontal path…

A: As per the conservation law of energy, Here, E, K, and U represent the car’s total energy, the…

Q: A force F applied to an object of mass m, produces an acceleration of 3.90 m/s². The same force…

A: Using newton's second law of motion : F = ma Since force is same for both the masses , Therefore :…

Q: What is magnitude of force acting on the ball?

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Q: I performed a lab using a toy car to go down a ramp that was positioned at different heights. For…

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Q: 2.18. A ball is thrown vertially upward with an initial velocity v,. The air resistance is…

A: according to the question the ball is thrown vertically upward with an initial velocity i.e v0 the…

Q: A hover pack has a mass of 1000 g and hanging weight is 100 g. What is the expected elapsed time of…

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Q: Metal nuts are dropped from heights of .2 m, .8 m, 1.8 m. Find the respective times of impact.

A: We can used below formula to calculate times of impact,

Q: A 59.4 kg person is moving at a constant 1.31 m/s downward in an elevator. What is their apparent…

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Q: Show that the time required for a projectile to reach its highest point is equal to the time for it…

A: relation between time of ascent of projectile and time of descent of projectile:

Q: 0 Sin (2) S (x²-1) dx

A:

Q: A man steps outside one winter day to go to work. His icy driveway is 8.0 m long from top to…

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Q: Suppose an airline allows a maximum of 45 kg for each suitcase a passenger brings along. (a) What is…

A: The weight of the suitcase is calculated by using the formula W=mg , where m=45 kg is the mass of…