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Determine the normal mode frequency of the Lagrangian, given by L=(1/2)(xdot2 +ydot2)-(1/2)(ω21x2+ω22y2)+ αxy ,where α is constant xdot =ydot means derivative with respect time.
Determine the force (in N) of the car on truck all through the impact. Call this force positive if it points to the east, and negative if it points to the west.
peg is located a distance h directly below the point of attachment of the cord. If h = 0.90 L, illustrate what will be the speed of the ball when it reaches the top of its circular path about the peg?
Two rigid rods are oriented parallel to each other and to the ground. The rods carry the same current in the same direction. The length of each rod is 0.80 m, Determine the current in the rods
The speed of light is 1.10 times as large in material A than in material B. Determine the ratio na/nb of the refractive indices of these materials
An object experiences a constant acceleration of 2.0 m/s^2 along the -x axis for 2.7s, Find the initial velocity vector of the object
An object explodes and breaks into 2 pieces. Piece 1 has twice the mass of piece 2. Which piece has more momentum
.A cosmic-ray proton in interstellar space has an energy of 10.0 MeV and executes a circular orbit having a radius equal to that of Mercury’s orbit around the Sun (5.80 m). Illustrate what is the magnetic field in that region of space?
A 50kg driver sits stopped at a traffic light. Another car rear-ends her and causes her to accelerate at 16m/s^2. It all occurs in 0.25s. What is the impulse given to the driver
A 0.25kg ball moving in a circle at the end of a string has a cantripetal acceleration of 4 m/s^. What is the magnitude of the centripetal force
Vector A points in the negative y direction and has a magnitude of 3 units. Vector B has three times the magnitude and points in the positive x direction. Find out the direction and magnitude of the following vectors.
Helium, the second most abundant element in the universe, can exist as a monatomic gas. What is the internal energy of the gas
A plane accelerates from rest at a constant rate of 5.00 along a runway that is 1800 long. What is the time needed to take off
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