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A young woman on a skateboard is pulled with a rope attached to a bicycle. The velocity of the skateboarder is rv = (4.1 m s)x$ and the force exerted on her by the rope is r F = (17 N)x$ + (12 N)y$. (a) Discover the work done on the skateboarder with the rope in 25 seconds. (b) Assuming the velocity of the bike is the same as that of the skateboarder discover the work the rope does on the bicycle in 25 seconds.
A 0.99-cm-diameter microscope objective has a focal length of 2.6 mm. It is used in visible light with a wavelength of 532 nm. What is the objective's resolving power if used in air
A fictional spaceship accelerates at a constant rate of 0.107 m/s2. What would be its final velocity
a student with a mass of 80.0 kg runs up three flights of stairs in 12 s. the student has gone a vertical distance of 8.0 m. what is the student's power
A 2.5 mm diameter copper wire carries a current of 33 A, uniformly distributed across its cross-section. Determine the magnetic field at the surface of the wire
a professors office door is 0.96 m wide 2.2 m high 4.1cm thick has a mass of 20 kg and pivots on frictionless hinges. a
A car is moving to the left at 20 m/s while a truck is moving to the right at 25 m/s. what is the perceived frequency, in Hz, of the sound by the driver of the car
A spring with a spring constant of 100N/s is compressed adistance of 0.1m horizontally. What is the maximum speed attained by the mass
The angular position of a point on the rim of a rotating wheel is given by θ = 4t-3t2+t3, where θ is in radians and t is in seconds. Determine formulas for the angular velocity
A dog running in an open field has components of velocity Vx = 3.3 m/s and Vy = -2.3 m/s at time t1 = 11.4 s. What is the direction of the dog's velocity
A purple beam is hinged to a wall to hold up a blue sign. The beam has a mass of mb = 6.5 kg and the sign has a mass of ms = 15.9 kg. What is the net force the hinge exerts on the beam
Capacitors won't hold a charge indefinitely; as time goes on, charge gradually migrates from the positive to the negative plate. What is the leakage resistance
A raindrop of mass 3.10 multiplied by 10-5 kg falls vertically at constant speed under the influence of gravity and air resistance. What is the work done on the raindrop by air resistance
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