A small diamond of mass 10.0 g drops from a swimmer’s earring and falls through the water, reaching a terminal velocity of 2.0 m/s. (a) Assuming the frictional force on the diamond obeys f = −bv, what is b? (b) How far does the diamond fall before it reaches 90 percent of its terminal speed?

Q: A time-dependent force,  = (7.40i - 3.80tj) N (where t is in seconds) is applied to a 2.00 kg object…

A:

Q: A freight train has a mass of 1.5x 10^7kg. If the locomotive can exert a constant pull of 7.5x 10^5N…

A: Mass of the train is m=1.5×107 kg The locomotive can pull with a force, F=7.5×105 N As the the train…

Q: A high diver of mass 57.5 kg steps off a board 10.0 m above the water and falls vertical to the…

A: According to Newton’s third law, the force exerted by water on diver is equal to the force exerted…

Q: A high diver of mass 69.8 kg steps off a board 10.0 m above the water and falls vertical to the…

A: Use the kinematic equation to solve for the velocity of the diver when she touches the water.

Q: the fall, drag is present by a factor 4v due to air resistance, where v is the velocity of the ball…

A: We have given that the mass of the ball is m and it has an initial velocity of 0, a ball dropped…

Q: The velocity of a 1.7 kg block sliding down a frictionless inclined plane is found to be 1.15 m/s.…

A: Given The mass of the block is m=1.7 kg. The final velocity of the block is vf=4.45 m/s. The…

Q: A high diver of mass 57.2 kg steps off a board 10.0 m above the water and falls vertical to the…

A: Given:Mass of the diver, m = 57.2 kgHeight of the board from the surface of water, h = 10 mTime…

Q: What average force is required to push a 20-kg stroller with your toddler in it for 5 seconds if the…

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Q: A 53 kg block sliding horizontally across the floor has a coefficient of static friction of us =…

A:

Q: A system of two blocks is accelerated by an applied force of magnitude F on the frictionless…

A: Given data: Mass of left block is, m1=3 kg. Mass of right block is, m2=5 kg.

Q: A 2kg body has an initial velocity of 10m/s and is then pulled 4 meters by a force of magnitude 25N…

A:

Q: A dog and a sledge are on the frictionless ice of a frozen lake, 14.4 m apart but connected by a…

A: Distance , d = 14.4 m Acceleration of sledge , as = 0.5 m/s2 Acceleration of dog, ad = 0.1 m/s2 To…

Q: A car moving with a velocity of 20m/s in the north direction, is acted upon by a pair of balanced…

A: According to Newton's First law a body will continue to move with same velocity or remains in rest…

Q: A 91 kg block sliding horizontally across the floor has a coefficient of static friction of us : = =…

A: Given Mass of the block = m = 91 kg Coefficient of static friction = µs = 0.48 Coefficient of…

Q: The parachute on a race car of weight 8 820 N opens at the end of a quarter-mile run when the car is…

A:

Q: A 25 N weight box is pulled by (F=22 N) on a horizontal surface, determine the acceleration of the…

A: Weight, w = mg = 25 N  Applied force, F = 22 N  Coefficient of friction, µ = 0.3

Q: Block of mass m=50 g, slide down on inclined plane with angle 0 = 60what is the normal force of the…

A: Given:  Block mass, m=50 g=0.05 kg Inclination angle, θ=60°  Standard data: Gravitational…

Q: A skier of mass m slides up a hill for a distance d along surface coved with snow till it shops. The…

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Q: A cake rests in a cardboard box on the horizontal surface of the seat of your car which is traveling…

A: The equation for the stopping distance is given by, d=v22μsg Here, v is the speed of the truck and g…

Q: You drive an automobile of mass 2.10 x 103 kg from sea level to the top of a mountain 2.05 km high.…

A: Given: mass of automobile m= 2.10× 103 kg Height at which automobile reached from sea level h = 2.05…

Q: In a flight between Ottawa and Toronto, an airplane follows the shown path from point A to point C.…

A:

Q: A skydiver is at an altitude of 1520 m. After 10.0 seconds of free fall, he opens his parachute and…

A: a) The expression for the net force acting on the body will be,

Q: If a 6.0 x 10-3-N friction force opposes the transporter's motion, what must be the magnitude of Q…

A:

Q: If a 0.50 kg block initially at rest on a frictionless, horizontal surface is acted upon by a force…

A: Given Mss of a block = 0.50 kg Initial velocity of block = 0 m/s Surfaces are frictionless force…

Q: A 100 kg stunt woman falls from a three-story building that is 10 m high. If she falls into a net,…

A:

Q: A 1.23-kg box slides up an incline plane with a speed of 8.6 m/s. If the angle of the plane with…

A:

Q: A high diver of mass 50.2 kg steps off a board 10.0 m above the water and falls vertical to the…

A: Consider the mass of the diver be m, its initial velocity be u, its final velocity be v, the…

Q: A uniform push of 150 N, applied at an angle of 30 deg to a 20 kg block which rests on a horizontal…

A:

Q: A stockroom worker pushes a box with mass 11.6 kg on a horizontal surface with a constant speed of…

A: Given data: The mass of the box is m=11.6 kg The speed of the box is v=3.40 m/s The coefficient of…

Q: A stockroom worker pushes a box with mass 13.7 kg on a horizontal surface with a constant speed of…

A: Part A: The vertical force exerted on the worker is, ∑Fy=0N-mg=0N=mg…

Q: You drag your 30 kg suitcase 1200 m thru the Chicago airport at essentially constant velocity 2.0…

A: Mass of suitcase, m = 30 kg Velocity, v = 2.0 m/s Force applied in the upward direction, F = 90 N…

Q: A 9.00kg hanging object is connected by a light, in extensible cord over a light, frictionless…

A: Using above FBD: Apply force balance on block m1, in horizontal direction: Fx_net = T - Ff Fx_net =…

Q: What is the magnitude of air drag force experienced by a raindrop of mass 5.0 x 10-6kg that is…

A: Draw the free-body diagram of the raindrop:

Q: A 3.69x103 kg train is moving at a constant speed of 10m/s on a horizontal railroad track that…

A: initial speed u = 10 m/s mass m = 3.69 x 103 kg frictional force f = 500N Speed changes from 10 m/s…

Q: The velocities of a 3.0-kg object at t = 6.0 s and t = 8.0 s are (3.0i ^ − 6.0j ^ + 4.0k ^ ) m/s and…

A:

Q: A 2 000-kg sailboat experiences an eastward force of 4 500N by the ocean tide and a wind force…

A: Here  Force due to ocean tide = F1=4500 N Force due to wind = F2=1500 N

Q: The 50-kg crate rests on a horizontal surface for which the coefficient of kinetic friction is uk =…

A:

Q: A high diver of mass 64.3 kg steps off a board 10.0 m above the water and falls vertical to the…

A: the velocity and acceleration is,

Q: An elevator cab and its load have a combined mass of 5.6 kg. When the cab, originally moving…

A: Given that, mass, m =5.6 kg initial velocity, u =-4.4 m/s final velocity, v =0 distance, s =-5.5 m

Q: A block of mass 0.75 kg is projected up an inclined plane at an angle of 25 degrees with an initial…

A:

Q: A driver in a 1000 kg car traveling at 24 m/s slams on the brakes and skids to a stop. If the…

A: Given  m=1000kg v=24m/s u=0.80 We  have to find how long will the skid marks be? Your answer is…

Q: You are a member of an alpine rescue team and must get a box of supplies, with mass 2.30 kg , up an…

A: Given: The mass is m=2.30 kg. The angle is θ=30°. The vertical distance is d=2.5 m. The coefficient…

Q: - A unloaded car moving with velocity u on a frictionless road can be stoppèd in 'a distance s. If…

A:

Q: Suppose a car accelerates from 69 to 112 km/h?

A:

Q: An elevator cab and its load have a combined mass of 7.8 kg. When the cab, originally moving…

A: Given data: Combined mass, elevator cab+ load =7.8 kg Distance moved, d =9.6 m Initial…

Q: A 6.00 kg box sits at rest at the bottom of a ramp that is 8.00 mm long and is inclined at 30.0…

A:

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows: