The Xanthar mothership locks onto an enemy cruiser with its tractor beam (see the figure below); each ship is at rest in deep space with no propulsion following a devastating battle. The mothership is at x = 0 when its tractor beams are first engaged, a distance d = 205 xiles from the cruiser. Determine the x-position in xiles (measured from x = 0) of the two spacecraft when the tractor beam has pulled them together. Model each spacecraft as a point particle with the mothership of mass M = 195 xons and the cruiser of mass m = 28.0 xons.

The position of an electron is given by 8.66tî – 4.57t²ĵ + 8.69k, with t in seconds and in meters. At t = 2.75 s, what are (a) the x-component, (b) the y-component, (c) the magnitude, and (d) the angle relative to the positive direction of the x axis, of the electron's velocity (give the angle in the range (-180°, 180°])? (a) Number (b) Number (c) Number (d) Number fel a = Units Units Units Units

We track the particle’s trajectory between t = 0 to t = T. During this interval, how much time transpires in the particle’s non-inertial reference frame?

You are investigating an accident that occurred early on a foggy morning in Oxfordshire. A 2015 Prius Hatchback traveling due north collided in a highway intersection with a 2012 Nissan Pathfinder that was traveling due east. After the collision, the wreckage of the two vehicles was locked together and skidded across the level ground until it struck a tree. You measure that the tree is 11 m from the point of impact. The line from the point of impact to the tree is in a direction 39° north of east. From experience, you estimate that the coefficient of kinetic friction between the ground and the wreckage is 0.45. Shortly before the collision, a police officer with a laser speed gun measured the speed of the Prius to be 80 km/h and, according to a witness, the Prius driver made no attempt to slow down. Four people with a total mass of 230 kg were in the Nissan. The only person in the Prius was the 80 kg driver. The Nissan with its passengers had a mass of 2362 kg, and the Prius with its…

An object is moving in a circle of radius 10 cm centered on the origin in the xy-plane at a constant speed of 5 m/s. (a) Express the motion of the object as a vector that depends on time, i.e. find F(t).

That's one whole question

You are designing a missile defense system that will shoot down incoming missiles that pass over a perimeter defense post. The set-up is shown below. An incoming missile passes directly above the defense base. Radar at the base can measure the height, h, and speed, v1, of the incoming missile. Your Patriot Rocket is set to fire at an angle of θ=67∘ from vertical. You design the Patriot Rocket so the magnitude of its acceleration is given by: a2=Ae^−bt where A can be set on your Patriot Rocket as it is fired, b=0.15 s−1, and t=0 s when it is fired. The direction of your Patriot Rocket's vector acceleration stays at the same angle, θ, for the entire trip. If an incoming missile passes over the defense base at a height of 4.7 km and at a constant speed of 757 m/s (this means that v→1 is constant), solve for the value of A your Patriot Rocket must have in order to hit the incoming missile. You will also need to enter results from intermediate steps of your calculation, including the…

You are designing a missile defense system that will shoot down incoming missiles that pass over a perimeter defense post. The set-up is shown below. An incoming missile passes directly above the defense base. Radar at the base can measure the height, ℎ, and speed, v1, of the incoming missile. Your Patriot Rocket is set to fire at an angle of θ=70∘ from vertical. You design the Patriot Rocket so the magnitude of its acceleration is given by: a2=Ae^(-bt) where A can be set on your Patriot Rocket as it is fired, b=0.3 s−1, and t=0 s when it is fired. The direction of your Patriot Rocket's vector acceleration stays at the same angle, θ, for the entire trip. If an incoming missile passes over the defense base at a height of 4.4 km and at a constant speed of 797 m/s (this means that vector v1 is constant), solve for the value of A your Patriot Rocket must have in order to hit the incoming missile. You will also need to enter results from intermediate steps of your calculation, including the…

The position of an electron is given by 7 = 8.49tî – 5.75r2j + 1.68k, with t in seconds and 7 in meters. Att = 3.12 s, what are (a) the x-component, (b) the y-component, (c) the magnitude, and (d) the angle relative to the positive direction of the x axis, of the electron's velocity ů (give the angle in the range (-180°, 180°])? (a) Number Units (b) Number i Units (c) Number i Units (d) Number i Units > >