On an essentially frictionless, horizontal ice rink, a skater moving at 5.0 m/s encounters a rough patch that reduces her speed by 41 % due to a friction force that is 30 % of her weight.   Use the work-energy theorem to find the length of this rough patch.

Q: A 200 N box is pushed at a constant velocity up an incline that is 5.00 m long and rises 1 m. If the…

A: The Free Body Diagram of the 200 N box is shown below,   The Bos is being pushed at a constant…

Q: A horizontal force F is applied to move a 6kg carton across the floor. If the carton starts from…

A: Mass of carton (m) = 6 kg Applied force = F Initial speed (u) = 0 mstime (t) = 3 seconds Final speed…

Q: A skier moving at 5.00m/s encounters a long, rough horizontal patch of snow having a coefficient of…

A: Given data: The initial velocity of skier is, v=5.00 m/s. The coefficient of kinetic friction is,…

Q: A single force acts on a 3.2 kg particle-like object in such a way that the position of the object…

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Q: If a 50 kg object initially at rest is displaced 25 m by a constant net force of 600 N in the…

A: Work done is equal to change in kinetic energy of the body . Work done = (Force)*(displacement)…

Q: Find the work done in joules by gravity as an object of the mass m=11 kg is raised up at constant…

A: Potential energy is defined as U=mgh Here m is mass, h is height and g is gravitational acceleration…

Q: A tennis ball of mass m = 0.097 kg is thrown straight up with an initial speed v0 = 14 m/s. Let the…

A: mass of ball (m) = 0.097 kg Initial upwards speed (vo) = 14 ms

Q: A single force acts on a 4.0 kg particle-like object in such a way that the position of the object…

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Q: A small stone slung by David toward Goliath moves in a straight line under the influence of a force…

A: Given data:  The force vs position graph Required: The work done on the stone from 0 m to 6 m

Q: A body of mass 8kg moves in a straight line on a horizontal frictionless surface. At one point in…

A: Given, Mass,m=8  kg Initial speed, u=4 m/s Final speed,v=5 m/s Distance traveled,d=3 m

Q: when released from rest, a150 g block slides dewn the path shown below, reaching the bottom with a…

A: Given data *The mass of the block is m = 150 g = 150 × 10-3 kg *The final speed of the block is v =…

Q: The potential energy function associated with a force acting on a system is U = 3x4y − 2x.What is…

A: The vector force acting on system kept in a potential field U is given by- F→=-∂U∂xi^-∂U∂yj^

Q: A 150 kg box is moving with constant speed on a rough surface under the effect of external force (F)…

A: Given data: Mass (m) = 150 kg Box moving with constant speed External force = F Angle (θ) = 30°,…

Q: A middle school kid is pushing a lawn mower with 60 N of force at an angle 31 degrees below the…

A: Here, applied force(F) = 60 N displacement(S) = 400 m The angle(θ) between the applied force and…

Q: A skier moving at 5.00 m/s encounters a long, rough horizontal patch of snow having a coefficient of…

A: Given: The initial velocity is 5.00 m/s. The coefficient of kinetic friction is 0.220.

Q: As a young man, Tarzan climbed up a vine to reach his tree house. As he got older, he decided to…

A: To determine: A young man Tarzan climbed up a vine to reach the tree house, what did the king of…

Q: A middle school kid is pushing a lawn mower with 46 N of force at an angle 31 degrees below the…

A: Force = F = 46 N Displacement = S = 350 m The diagram is given below:

Q: A little red wagon with mass 7.00 kg moves in a straight line on a frictionless horizontal surface.…

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Q: A leaky bucket, which weighs 2 N empty and initially has 10 N worth of water in it, is lifted into…

A: Work done will be equal to change in the potential energy of the bucket. Let the potential energy at…

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

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Q: If 39000 J of work is done on a 520 kg object to accelerate it from rest, then use the Work-Energy…

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Q: A particle is subject to a force Fx that varies with position as shown in the following figure. Find…

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Q: A particle moving in the xy-plane is subject to a force F → (x, y) = ((50 N · m2) . (xi ^ + yj ^ ))…

A: Consider the distances between the given points as its x- and y-components, and determine the…

Q: Identify a case where an object is moving over a surface with friction, but the frictional force…

A: When the object moves in a pure rolling motion, the work done by the friction will be zero.

Q: A bicyclist is stopped at the entrance to a valley, as sketched below: F E A Where would the…

A: Potential energy of an object of mass m is given by, P.E.=m g h, where g is acceleration due to…

Q: In the figure shown, if the mass (m36 Kg) is moving with constant speed and traveled a distance d314…

A: mass (m)= 6 kg distance covered (d) = 14 m speed = constant F = 15 N θ = 53o

Q: A can of sardines is made to move along an x axis from x = 0.20 m to x = 1.24 m by a force with a…

A: Given:- A can of sardines is made to move along an x-axis from x = 0.20 m to x = 1.24 m by a force…

Q: In an amusement park, a 500. -N girl stands on a weighing scale with a lightweight spring of force…

A: Given data: The weight or the force due to gravity acting on the girl, W=500 N. The spring…

Q: A firefighter climbs a 10 m long ladder that is inclined at 40° to the horizontal.  If she has a…

A: Given Data: The length of the ladder is: L=10 m The angle of the ladder with the horizontal plane…

Q: Consider a particle on which a force acts that depends on the position of the particle. This force…

A: Work done in the y direction is zero. WAB=∫ABFdy=0

Q: On an essentially frictionless, horizontal ice rink, a skater moving at v = 3.0  m/s encounters a…

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Q: In the figure, a frictionless roller coaster car of mass m = 992 kg tops the first hill with speed…

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Q: On an essentially frictionless, horizontal ice rink, a skater moving at 4.3 m/s encounters a rough…

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Q: Compute for the gravitational potential energy of a 60.0 kg mountaineer who is 500 m above the…

A: Given data: Mass (m) = 60.0 kg Height (h) = 500 m Required: Gravitational potential energy

Q: A 17 g bullet is accelerated in a rifle barrel 81.5 cm long to a speed of 846 m/s. Use the…

A: It is given that, m=17 g=0.017 kgs=81.5 cm=0.815 mv=846 m/s

Q: A 28 kg air compressor is dragged up a rough incline from r1=1.9i+2.2j m to r2=9i+1.4j m, where the…

A: The expression for the work done by the gravity is W=mgh       h-displacement along y axis=28 kg-9.8…

Q: Pushing a heavy box of 100 N up along a frictionless slope, the speed decreases at a rate of 1 m/s?.…

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Q: A 10.0-kg particle, starting at point A at a height of 5.00 m above the ground with an initial…

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Q: In the figure, a frictionless roller coaster car of mass m = 729 kg tops the first hill with speed…

A: Given, m=729 kg v0=24.0 m/s h=36.6 m a) gravitational force on the car=mg=729×9.8=7144.2 N At point…

Q: A four-horse carriage is accelerating by 6 m/s every three (3) seconds, carrying a total load…

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Q: A conservative force acts on an object from the initial point (x = 2, y =3) to the final point (x =…

A: Given : Initial position = (2,3) Final position = (3,4) U = x2y