Compound Microscope: A compound microscope consists of an objective lens of focal length f0 and an eyepiece that by itself produces an angular magnification 25.0. The microscope is designed so that the object to be viewed is on the left side of the objective lens and is focused in a plane that is 28.00 cm away from the right-hand (or inside) focal point of the objective lens. When properly adjusted, the eyepiece and the objective lens are 29.90 cm apart. The eyepiece magnification is based on an image at infinity and a near point at 25.0 cm. What is f0?
Fill in the blank(s) with the appropriate word(s).
0.90 cm
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Rotational Dynamics: The drum shown in the figure has a radius of 0.40 m and a moment of inertia of 2.3 kg ? m2 about an axis perpendicular to it through its center. The frictional torque at the drum axle is 3.0 N ? m. A 14-m length of rope is wound around the rim. The drum is initially at rest. A constant force is applied to the free end of the rope until the rope is completely unwound and slips off. At that instant, the angular speed of the drum is 23 rad/s. The drum then slows down at a constant rate and comes to a halt. In this situation, what was the magnitude of the constant force applied to the rope?
A. 51 N B. 40 N C. 29 N D. 18 N E. 7.5 N
A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular velocity of 25 radians per seconds, then the tangential velocity of a point on the circumference is
A. 1.0 m/s. B. 1.5 m/s. C. 2.0 m/s. D. 2.5 m/s. E. 3.0 m/s.
A heavy stone and a light stone are released from rest in such a way that the amount of gravitational potential energy of the system rock-Earth for each rock is the same just as they are released. Air resistance is negligibly small
Which of the following statements about these stones are correct? (There could be more than one correct choice.) A) The initial height of the light stone is greater than the initial height of the heavy stone. B) The stones must have been released from the same height. C) The stones both have the same speed just as they reach the ground. D) Just as it reaches the ground, the light stone is traveling faster than the heavy stone. E) The stones both have the same kinetic energy just as they reach the ground.
Two identical metal bars are heated up until they are both glowing. One of them is "red hot" and the other is "blue hot." Which one is hotter, the one that glows red or the one that glows blue?
A) the red one B) the blue one C) We cannot tell without knowing more about the two bars.