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A particle of mass 2kg has the position vector r=(4t-8)i+(2t^2-3)j where t>0 or t=0 of the components are in meters.
i) What is the linear momentum of the particle at some time t?
ii) What is the direction of the particle at time t=2?
iii) What is the magnitude in kgm^2/s of the angular momentum at time t=2?
The magnetic field of a cylindrical magnet that has a pole-face diameter of 4.5 cm can be varied sinusoidally between 29.5 T and 31 T at a frequency of 15 Hz. At a radial distance of 1.8 cm, what is the amplitude of the electric field induced by the ..
The maximum speed of a 3.1 kilogram mass attached to a spring is 0.68 m/s and the maximum force exerted on the mass is 11 Newton. Estimate what is the force constant of the spring
A 4-kg block lies on a horizontal table whose coefficient of friction is 0.3. A horizontal rope is redirected by a uniform solid disk (pulley) of mass 2 kg to a mass of 12-kg hanging off the table. How many revolutions does the disk of the pulley m..
What is the maximum velocity.
Two plane mirrors are facing each other they are parallel 3.00 cm apart and 17.0 cm in length a laser beam is directed at the top mirror from the left edge of the bottom mirror what is the smallest angle of incidence with respect to the top mirror su..
A jet with mass m = 1.3 × 105 kg jet accelerates down the runway for takeoff at 2.4 m/s2, What is the net vertical force on the airplane as it levels off
Two spheres are cut from a certain uniform rock. One has radius 4.30cm. The mass of the other is six times greater. Find its radius.
A gnat takes off from one end of a pencil and flies around irregularly for 36.1 seconds before landing on the other end of the same pencil. If the gnat flew a total distance of 5.15 meters, and the pencil is 0.0713 m long, discover the gnat\'s averag..
Suppose we take a 1 m long uniform bar and support it at the 23 cm mark. Hanging a 0.36 kg mass on the short end of the beam results in the system being in balance
The compressor of an air conditioner draws an electric current of 20.7 A when it starts up. how much electric charge passes through the circuit
121.7 J of heat energy are transferred to 38.53 g of mercury. By how much does the temperature increase? (in K) How much heat is needed to raise the temperature of 38.53 g of water with the same amount?
A point charge of 8.40 mC is surrounded by an equipotential surface with a radius of 0.262 m. What is the electric potential on the surface
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