Damn Straight

any help would be great thanks!!!

A body of mass 8 kg moves in a (counterclockwise) circular path of radius 2 meters, making one revolution every 13 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.

A. Compute the centripetal force acting on the body.

(__, __)

B. Compute the magnitude of that force. ____

A gun has a muzzle speed of 70 meters per second. What angle of elevation should be used to hit an object 150 meters away? Neglect air resistance and use g = 9.8m/sec.^2 as the acceleration of gravity.

_____ radians

Consider the line L(t) = <2+3t,4+4t,-3-5t>. Then:

L is to the plane 5x-20y-13z = 45

L is to the plane y = -2

L is to the plane 10z-(6x+8y) = -72

L is to the plane 12x+y+8z = -14

Use differentials to estimate the amount of material in a closed cylindrical can that is 40 cm high and 16 cm in diameter if the metal in the top and bottom is 0.2 cm thick, and the metal in the sides is 0.05 cm thick. Note, you are approximating the volume of metal which makes up the can (i.e. melt the can into a blob and measure its volume), not the volume it encloses.

The differential for the volume is

dV=_____+dr______dh

dr=______ and dh=_______ (be careful)

The approximate volume of material is______ cm^3

f{y}(s) = ( , , )

i am doing all the step right but only getting t= s/sqrt(35)

And i also can't figure out this curvature problem

Find the curvature k(t) of the curve f{r} (t) = ( 3sint){i} + ( 3sint) {j} + ( 2cost) {k}

a) When a neg. charge is released and moves along an electric field line it moves to a pos. of ___ lower potential and ____ potential energy

b) A charge of uniform volume density (40 nC/m^3) fills cube with 8cm edges. What is total electric flux in (N*m^2/C) through the surface? a- 2.9 b-2 c-2.6 d-2.3 e-1.8

c) Determine the magnitude (in V) of the electric potential and electric field (in N/c) at center of the square. Four point charges (q=7.5uC) and corners of square of a side is a=0.3m

d) Two infinite parallel surfaces carry uniform charge densities of .67 uC/m^2 and -1.32 uC/m^2. What is the magnitude in N/C of electric field at a point between the two surfaces?

Any help would be greatly appreciated!

A) If {r}(t)= cos(3t){i}+sin(3t){j}+6t{k}

and integral{r}(t) dt= ___i+ ___j+ ___k +C

with {C} a constant vector.

B) Consider the vector function r(t) = <t, t^4, t^6>

Compute T(1)= <___, ___, ___>

Evaluate the integral from 8 to 0 (t i +t^2 j +t^3 k) dt=

__i __j __k

First one to answer gets 10pts

Determine whether the lines

L_1: x = 19 + 6 t, y = 20 + 6 t, z = 7 + t

and

L_2: x = -13 + 7 t, y = -14 + 8 t, z = -4 + 4 t

Point of intersection: (__, __, __)

The line L(t) = <1+t,6-2t,11-2t> intersects the plane x-y = 4 at the point ____ when t= ____

Thanks in advance!

The planes 5x-2y+5z = -35 and y-2x+4z = -11 are not parallel, so they must intersect along a line that is common to both of them. The vector parametric equation for this line is

L(t) =

Find the distance from the point (4, 5, 1) to the line x = 0, y = 5 + 3 t,z = 1+ t.

Find the area of the triangle with vertices (0, -4), (8, -1), and (-2, 0)

Find the volume of the parallelepiped with adjacent edges PQ, PR, PS where P(5, 4, -1), Q(7, 7, 2), R(4, 3, -2), S(11, 2, 1)

Find the volume of the parallelepiped with one vertex at (-4, 4, 2), and adjacent vertices at (0, 6, 0), (-5, 6, 3), and (-2, 6, 5).

Volume =

What are your feelings about poverty in the US and California? And what are some ways you feel this can be resolved, and what some of the causes may be for this problem?

What are your feelings about poverty in th US and California? And what are some ways you feel this can be resolved, and what some of the causes may be for this problem?

So i have prom coming up and her dad is working on their house so her mom doesn't want to be embarrassed about the damage so my girlfriend won't ask her mom if my parents can come over to take pics because she says she already knows her mom will say no. What should I do?