A 1,105-kg car traveling initially with a speed of 25.0 m/s in an easterly direction crashes into the rear end of a 8,900-kg truck moving in the same direction at 20.0 m/s (see figure below). The velocity of the car right after the collision is 18.0 m/s to the east. +25.0 m/s +20.0 m/s +18.0 m/s Before After (a) What is the velocity of the truck right after the collision? (Round your answer to at least three decimal places.) 20.8691 v m/s (east) (b) How much mechanical energy is lost in the collision? 2498 Account for this loss in energy. The energy lost is in the form of heat and sound during the collision.

Part A: Where is the image of the insect if the focal length of the lens is f=-129 mm? Follow the sign conventions. Express your answer to three significant figures and include the appropraiate units. Part B: How high is the image of the insect if the focal length of the lens is f=-129mm? Follow the sign conventions. Express your answer to three significant figures and include the appropriate units.  Part C: What type is the image of the insect if the focal length of the lens is f=-129 mm?

Each of the parts in this problem has a description of an object and an optical device (a lens or a mirror). A sketch of each part is shown below in which the centers of the mirrors and the focal points of the lenses are shown. The radius of curvature of each mirror is R, and the focal length of the lenses is f. For each part, determine: the image is real, virtual, or no image is formed the image is on the same side of the optical device as the object or the opposite side (if there is no image, indicate this) if at image is formed, on which side of the optical device must the observer be in order to see it A. An object is on the right side of a spherical mirror, a distance s > R from the mirror. The reflective surface of the mirror faces the object and is concave.The image is  ---Select--- real virtual neither (no image is formed)The image is  ---Select--- on the same side of the mirror as the object on the opposite side of the mirror from the object neither (no image is…

A lens forms an inverted, double-sized image of an object placed 9 cm away. Calculate the focal length of the lens.(Give your answer in centimeters)