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The differential equation of motion of freely oscillating body is given by 2 d2x/dt2 + 8π2x = 0. Evaluate the natural frequency of the body?
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Question: A slide projector needs to create a 84 cm high image of a 2.0 cm tall slide. The screen is 240 cm from the slide. Assume that it is a thin lens. (a) What focal length does the lens need? cm (b) How far should y ...
Consider the following examples, which involve energy being transformed from one kind to another. Identify the initial input & final output forms of the energy in each case. Identifying intermediate energy conversions ma ...
Question: As Shown in the figure, there are 3 point charges along the x-axis located at 3,8, and 11 cm. What is the x-component of the force on the charge located at x = 8 cm given that q = .85 uC in N? The response must ...
Question: A pendulum is made by tying a 590 g ball to a 47.0 cm-long string. The pendulum is pulled 22.0^\circ to one side, then released. What is the ball's speed at the lowest point of its trajectory? To what angle doe ...
Question: A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235m below. If the plane is traveling horizontally with a speed of 250 km/h (69.4 m/s), (a) how far in advance of the recipie ...
As part of a fiendish plan, the physics student society decided to use a catapult to launch a water balloon toward the engineering quad. The catapult launches the balloon ( m =4.24 kg) with an initial speed of v 0=18.2 ...
Question: Part A: The electric potential along the x-axis is V =200x2V, where x is in meters. What is Ex at x =0m? Express your answer as an integer and include the appropriate units. Part B: What is Ex at x =3m? Express ...
Question: An object is 30 cm in front of a converging lens with a focal length of 10 cm. Part A: Use ray tracing to determine the location of the image. Express your answer using two significant figures. q = Part B: Is t ...
Question: A small 100 g cart is moving at 1.20 m/s on a friction less track when it collides with a larger, 1.00 kg cart at rest. After the collision, the small cart recoils at 0.850 m/s. What is the speed of the large c ...
Question: A semicircle of radius a is in the first and second quadrants, with the center of curvature at the origin. Positive charge +Q is distributed uniformly around the left half of the semicircle, and negative charge ...
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