3. (1/2 pt) What is the momentum of a 2kg mass with velocity v = 2i+3j+4k...
© Examples: 1. Find the direction angles of for the vector v = 2i + 3j + 4k, and show that cos?a + cos?ß + cos2y = 1. 2. Find the direction angles of the vector v= 2i + 3j – k. O P1. Find the direction angle of line determined by the origin and the point P(2,-3,6) OP2. Find the direction cosines of the line directed from P1(1, -3,4) to P2(4,3,-2).
the velocity of a particle is given by v=[16t^2i+4t^3j +(5t+2)k]m/s, where t is in seconds. If the particle is at the origin when t=0, determine the magnitude of the particle's acceleration when t=2s. What is the x,y,z coordinate position of the particle at this instant.
3. A particle of mass m, charge q, and inital velocity vo is injected into uniform electric field E, find the position trajectory for the motion of the particle. Only after arriving at the vector equations for the trajectory, find the position of the particle after 5s, when E - 2i - 3j +4k vo- (2i -3j + 4k)1000 1.0 × 10-3 6.02 x 1023 q-1.6 x 10-19 (mass of a single H+)
Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C
1) 2) Use the vectors u = 2i - j, v = 21 - 3j, and w = -3i + 5j to evaluate the expression. 2v - u + w Find a unit vector in the same direction as the given vector. a = 201 - 21j
A small smooth sphere of mass m is moving with velocity (6i + 3j) ms-1 when it hits a smooth wall. It rebounds from the wall with velocity (2i - 2j) ms-1. Find a. the magnitude and direction of the impulse received by the sphere b. the coefficient of restitution between the sphere and the wall
Initially a 4kg mass and a 2kg mass are at rest on a friction free surface held together by a string. Between these two masses is a spring compressed by 0.1 m. At t= 0 , the string is cut and the two masses allowed to fly apart. When the masses are far apart, the velocity of the 2kg mass is 2m/s. 1) What is the velocity of the 4kg mass?? 2) Is momentum conserved in this process, i.e is...
2. Given the vectors u = 2i + 3j and v = -3i - 2j (a) (4 points) Plot and label each vector (b) (4 points) Find w = u + v (c) (4 points) Find the unit vector of w
A 2kg mass moving with a velocity of 7 m/s collides elastically with a 4 kg mass moving in the opposite direction at 4 m/s. The 2 kg mass reverses direction after the collision and has a new velocity of 3 m/s. What is the new velocity of the 4 kg mass
The kinetic energy of an object of mass 2kg is 16J. What is the linear momentum?