uppose hypothetically we put a spacecraft into orbit around the Sun to chase and recover an asteroid. Of course we place a clock on it to control the timing of the on-board computer that will autonomously run the spacecraft, and we synchronized the clock with precision Earth clocks before launch. After 10 years the spacecraft returns with its precious sample, ready to deliver it to anxious aging scientists at home. If on average during its journey it traveled at 30 km/s (that's the Earth's orbital speed around the Sun), what can we say about the clock on the spacecraft when it gets back home.

A60-kg skier starts at the top of a 10-meter high slope. at the bottom, she is traveling 10 m/s. what is the gpe? gpe =mgh 2,880 j 5,880 j 3,000 j 1633j

Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. each step is of uniform height . the mass of each object is a multiple of the base mass : object 1 has mass 4..00m , object 2 has mass 1..96m , and object 3 has mass . when the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. if the objects are then relocated as shown, what is the new total potential energy of the system? each answer requires the numerical coefficient to an algebraic expression. each algebraic expression is given using some combination of the variables , , and , where is the acceleration due to gravity. enter only the numerical coefficient. (example: if the answer is 1..23mgd , just enter 1.23)

The intensity of a polarized electromagnetic wave is 12 w/m^2. part a) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=0∘ with the plane of polarization? part b) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=30∘ with the plane of polarization? part c) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=45∘ with the plane of polarization? part d) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=60∘ with the plane of polarization? part e) what will be the intensity after passing through a polarizing filter whose axis makes the angle θ=90∘ with the plane of polarization?