Mechanics | Relativity Answers

a 1000.kg car moving at north at 100. km/hr brakes to a stop in 50. m within a uniform acceleration. what are magnitude and direction of the net force on the car ?

A block of mass 6.00 kg rests on a horizontal surface where the coefficient of kinetic friction between the two is 0.400. A string attached to the block is pulled horizontally, resulting in a 3-m/s2 acceleration by the block. Find the tension in the string. (g = 9.80 m/s2)

Consider the system described by the Hamiltonian:

L(q,q') = 1/2*sum(q'i*q'j*Aij) + sum(bi(q)*q'i)-V(q)

(I've used ' to describe an overdot/derivative respect to time, and i and j are the indices being summed over. We are not given anything about b, other than it is summed over i, and is a function of q):

where the matrix A = Aij is symmetric and positive definite, with unique inverse C.
Find the corresponding Hamiltonian.

F=X2+y2-z=1
Fine the unit vector is normal to this surface at P(1,1,1)

Graham, a physics enthusiast, is asked by his instructor to visit a nearby carpentry. He observed there a hand–held powered reciprocating saw, say a sabre saw, which performs SHM in a vertical plane with an angular frequency of 350 rad s−1 . Assume that the tip of the toothed blade of the saw is at x = 0 with positive velocity when t = 0 and the amplitude of SHM is 2.40 cm. Write an equation, as a function of time, which shows the position of the tip of the toothed blade. Also calculate that how much will the blade take to travel from x = 0 to x = 1.20 cm? To 2.40 cm?

A ball is thrown from the top of a building with a horizontal velocity of 11.9 m/s and takes 3.54 s to hit the ground. How far above the ground, in m, is the ball after 1.47 s of falling?

Two double neutron stars, one having mass 1.0 MSun and the other 3.0 MSun rotate about their common center of mass. Their separation is 6 light years. If they in circular orbit, what is their period of revolution. Use this context to explain the dynamics of the merger of two neutron stars in NGC4993 observed recently (17 Aug 2017) that led to a kilonova and another direct observation of gravitational wave (Nobel Prize in Physics 2017).

mmuwhat is torque on a wheel of diameter 0.4m if a force of 100N "act" on it

In framework of Newtonian physics suppose that the earth is moving through the luminiferous ether at speed v suppose that you are Michelson & that you have an interferometer with two arms each of length L if one arm is along direction of earth's motion & one arm is in perpendicular direction .1) how long it will take a bit of light to make complete circuit along earth arm? 2) how big is the difference between these two lines ?