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A 0.050-kg lump of clay moving horizontally at 12 m/s strikes and sticks to a 0.15-kg cart that can move on a frictionless air track. Determine the speed of the cart and clay after the collision. Please show all work.
A capacitor is connected across an ac source that has voltage amplitude 61.0 A and frequency 81.5 Hz. What is the phase angle ? for the source voltage relative to the current? Does the source voltage lag or lead the current?
A runner covers one lap of a circular track 40.0m in diameter in 63.5s a) average speed for that lap? b) average velocity for that lap? c) If she covered the first half-lap in 28.6s , what was her average speed for that half-lap?
If the alternating current in a circuit is described by the equation I=20sin60t, what are the peak current and frequency
A dart is thrown horizontally with an initial speed of 6 m/s toward point P, the bull's-eye on a dart board. How far away from the dart board is the dart released in meters
Sam, whose mass is 71.0kg , takes off down a 45.0m high, 8.00? slope on his jet-powered skis. What is the coefficient of kinetic friction of his skis on snow
A mass m slides in the bottom of a hemispherical bowl of radius R under the influence of gravity. Find the constraint force
The wing of an airplane has an average cross-sectional area of 13 m2 and experiences a lift force of 91,000 N. What is the average difference in the air pressure
Force F = (-1.0 N) + (1.0 N) acts on a particle with position vector r = (5.0 m) + (5.0 m). What is the torque on the particle about the origin
Two bodies having masses m1=30g and m2=40g are attached to the ends of a string of negligible mass and suspended from a light frictionless pulley. Find the accelerations of the bodies and the tension in the string
A uniform magnetic field is aligned with the axis of a solenoid having a radius of 0.25m. What is the induced emf in the coil
A thin sheet of transparent material is surrounded by air. The sheet has an index of refraction of 1.47, Calculate the wavelength of the light in the material
A car travelling 80 km/h slows down at a constant 0.50 m/s^2 just by "letting up on the gas." Compute the distance the car coasts before it stops in meters.
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