A raindrop initially has mass M_0 = 0.277~\mathrm{g}M 0 =0.277 g and, due to gravity, starts falling from rest through a cloud. One way to model the growth of a raindrop is to assume that its mass grows proportionally to the product of its instantaneous mass and velocity, according to the following equation \dfrac{dM}{dt} = kMV. dt dM =kMV. Here, kk is a constant of proportionality, which we take to be k = 6.99~\mathrm{m}^{-1}.k=6.99 m −1 . What is the speed of the rain drop when its mass has doubled its initial value?

A33.1 g copper object is launched from a 1.5 m 30° steel incline positioned on the floor by being pulled up a string attached to a 50.0 g mass suspended vertically over a pulley. the object is projected towards a glass table where it lands when it is at the point along its trajectory with the lowest speed. it comes to a halt when it clears the opposite edge of the table. it then falls and lands on 9 physics texts each 5 cm thick that are stacked on the floor on the opposite side of the table. assume that the table does not have a ledge and the rectangular object experiences 0.05 n of air resistance as it falls towards the books. how far and how long did the object travel and how fast does it hit the books. assume that at the moment the copper object leaves the incline, the massless string and ideal pulley break off

Anne applies a force on a toy car and makes it move forward. what can be said about the forces acting on the toy car at the moment anne applies the force?

Question 1 (5 pts): what is the maximum distance for which you can you resolve the two individual headlights of an on-coming truck as two separate lights rather than one if the headlights are separated by 2.00 m and your eye has a diameter of 1.00 centimeter? assume a wavelength of 500 nm.