Homework Statement
A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is held horizontal, and the ball is released from rest (see the drawing). It swings downward and strikes a block initially at rest on a horizontal frictionless surface. Air...
Homework Statement
K and M are constants. If h is differentiable at x=2, what are the values of k and m.
h(x)= kx^2 + 1, 0<x<2
mx - 3, 2<x<5
All of the "<" signs are "less than or equal to"
Homework Equations Not sure
The Attempt at a Solution I tried setting the...
Homework Statement
Someone wants to build a Jack-o-lantern launching cannon. He wants to launch a 5kg pumpkin a distance of 50m, but he also knows that an acceleration of more than 5 g's will crush the pumpkin in the cannon. What length does the barrel of the cannon need to be, and how much...
Homework Statement
A box is sliding up an incline that makes an angle of 17.0° with respect to the horizontal. The coefficient of kinetic friction between the box and the surface of the incline is 0.180. The initial speed of the box at the bottom of the incline is 1.30 m/s. How far does the...
[b]1. Traveling at a speed of 15.8 m/s, the 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 0.760. What is the speed of the automobile after 1.10 s have elapsed? Ignore the effects of air...