Questions asked
One charge of +5.0 ?C is place at exactly x = 0, and a second charge +7.0 ?C at x = 100 cm. Where can be a third be placed so as to experience zero net force due to the other two? ( Ans: x = 46cm)
Pritesh Ranjan
Numerade educator
Three point charges are placed at the following points on the x-axis: +2.0 ?C at x = 0, ?3.0 ?C at x = 40cm,?5.0 ?C at x = 120cm. Find the force (a) on the ?3.0 ?C charge, (b) on the ?5.0 ?C charge. (Ans. (a) -0.55 N; (b) 0.15 N)
The spring of the pressure gauge shown in the figure has a force constant of 1250 N/m, and the piston has a diameter of 1.20 cm. As the gauge is lowered into water in a lake, what change in depth causes the piston to move in by 0.750 cm? (Answer: 8.46 m)
The position of a particle is given by the expression x = 4.00 cos(3.00?t + ?) where x is in meters and t is in seconds. Determine (a) the frequency and (b) period of the motion, (c) the amplitude of the motion, (d) the phase constant and € the position of the particle at t = 0.250s. ( Answers: (a) 1.5 Hz (b) 0.667s (c) 4.00m (d) ? rad (e) 2.83 m)
The angular position of a pendulum is represented by the equation ? = 0.0320 cos ?t where ? is in radians and ? = 4.43 rad/s. Determine the period and length of the pendulum. (Answers: (a) 1.42s (b) 0.499 m)
A physical pendulum in the form of a planar object moves in simple harmonic motion with a frequency of 0.450Hz. The pendulum has mass of 2.20 kg and the pivot is located 0.350 m from the center of mass. Determine the moment of inertia of the pendulum about the pivot point. (Answer: 0.9439 kg. m2 )
A 50.0 kg object connected to a spring with a force constant of 35.0 N/m oscillates with an amplitude of 4.00 cm on a frictionless, horizontal surface. Find (a) the total energy of the system and (b) the speed of the object when its position is 1.00 cm. Find (c) the kinetic energy and (d) the potential energy when its position is 3.00 cm. ( Answers: (a) 28 mJ (b) 1.02 m/s (c) 12.2 mJ (d) 5.8 mJ)