I would say it depends on what you are going into after graduating. If you're going into research, a solid theroretical math background is a must. If you're planning on going into industry, its less important to know advanced calculus and diff eq, but advanced algebra and trig are very...
"car (car b) was under 2g's of acceleration when it reached 60mph."
This part is confusing because it makes it seem like it might still be accelerating at the instant car (b) reaches 60mph.
If all we care about is stopping distance, all we need to know is the velocity and accleration at...
I think you're on the right track with the values of sine. Since you can break up the motion of a projectile into x and y components by taking the sine and cosine of the same angle, the maximum range will be when the sum of both x and y components are their largest. The larger the y value, the...
I think you are missing half of your equation here
"f=m(dv/dt)=-mg-mkv"
"-mg-mkv" is the f side of the equation, because those are the forces acting on it. You are missing the values for the m(dv/dt) side.
F = m(dv/dt)
-mg-mkv = ????
Also, you aren't supposed to...
Indeed. There are two kinds of friction, static and kinetic. Static friction is always greater than kinetic friction. To accelerate the book from rest, (to give it a velocity greater than zero) the force you apply to the book at rest must be greater than the opposing force of static friction...
I think I'll take a whack at this one too.
Car (a) on cruise control is experiencing no acceleration before the engine power is removed. The sum of all the forces opposing the movement of the car are equal and opposite to the forces pushing the car forward. F=ma in this application means the...
Even better:
An object cannot have a constant velocity and have a constant net force applied to it. Any object which has a net force applied to it is accelerating. (By Fnet=ma)
Net force is just the sum of the individual forces acting on each axis. This is why having a free body diagram is...
An object cannot have a constant velocity and have a constant force applied to it. Any object which has a force applied to it is accelerating. (By Fnet=ma)
Try drawing both vectors from the same origin. If you connect the heads with a line, you will have a triangle, from which you can apply the trig stuff.
It looks like you need to draw a triangle with the information given. You are given an angle and two side lengths. From there you should be able to apply one of those laws.
The free body diagram is VERY IMPORTANT. It seems insignifigant but it is very useful. Before you can use any equations you have to add all of the forces on each axis. When you are done with that step you will have one NET force in the x direction and one NET force in the y direction. THEN you...