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1. Using the thin lens equation (1/f=(1/s)+(1/s')), prove that the focal length of a lens is equal to the image distance when there is parallel incident light
2. There is a specific case where for a single converging lens the object distance equals the image distance. Find the relation between the focal length and the object distance in this case.
Travelling at the speed of 14.10 m/s, driver of an automobile suddenly locks the wheels by slamming on the brakes. The coefficient of kinetic friction between the tires and the road is 0.650. What is the speed of automobile after 1.130 s have elapsed..
A cube of ice is taken from the freezer at -8.4^circ C and positioned in a 114 g aluminium calorimeter filled with 322g of water at room temperature of 20.0 C. The final situation is observed to be all water at 15.0C.
suppose that we could use the energy released when 5 g of antimatter annihilates 5g of matter to lift a mass 3 km from the Earth's surface. how much mass can we lift? answer in unites of kg.
A rock is thrown horizontally with a speed of 16 m/s from a vertical cliff of height 32 m, What is the velocity (magnitude and direction counterclockwise from the +x-axis, which is the initial horizontal direction in which the rock was thrown) of t..
If the maximum acceleration vehicle's brakes are capable of is -6.00 m/s2, what is the maximum reaction time of the motorist that will allow her or him to avoid hitting the deer.
a long horizontal wire carries a current of 48 amps. A second wire, made of 2.5 mm diameter copper wire and parallel to the first, is kept in suspension magnetically 15 cm below. Determine the magnitude and direction of the current in the lower wi..
A heat engine having an ideal monatomic gas as a working substance has a cycle consisting of the following three processes: isobaric expansion at 200 kPa.
An office window has dimensions 3.5 m by 2.3 m. As a result of the passage of a storm, What net force pushes out on the window
2 hollow conducting cylindrical shells (radius of 1 cm and 2 cm). The inner cylinder carries a current of 5 A outwards. what is the magnitude of the magnetic field at radius of 2.5 cm
A meteoroid is speeding through the atmosphere, traveling east at 21.5 km/s while descending at 19.0 km/s. What is its speed, in km/s.
Two cylindrical bars, each with diameter of 2.50 cm, are welded together end-to-end. One of the original bars is copper and is 0.360 m long, What is the resistance between the ends of the welded bar at 20 oC
A long straight wire carries a current I1 = 3.2 A and is a distance h = 12.2 cm from a rectangular current loop that carries a current I2 = 1.2 A, What is the force exerted by the current loop on the wire
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