A converging lens (f = 13.0 cm) is held 7.30 cm in front of a newspaper, the print size of which has a height of 1.90 mm. Find (a) the image distance (in cm) and (b) the height (in mm) of the magnified print?
A 100-N uniform plank leans against a frictionless wall. The magnitude of the torque (about the point P) applied to the plank by the wall is: (Plank makes a 3-4-5 triangle with the wall and the floor)
A small ball rolls around a horizontal circle at height y inside a frictionless hemispherical bowl of radius. Find an expression for the ball's angular velocity in terms of R, y and g. What is the minimum value of for which the ball can move in a circle? Express your answer in terms of...
the base of a rectangle lies on the x-axis, while the upper two vertices lie on the parabola y=6-x^2. Suppose that the coordinates of the upper right vertex of the rectangle are (x.y). Express the area of the rectangle as a function of x.
A trough is 14 ft long and its ends have the shape of isosceles triangles that are 4 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 10 ft3/min, how fast is the water level rising when the water is 5 inches deep?
A small ball rolls around a horizontal circle at height y inside a frictionless hemispherical bowl of radius , as shown in the figure .