Aspaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. the captain orders the ship to travel 1.7 ✕ 106 kilometers, then turn 70° and travel an additional 2.7 ✕ 106 kilometers to reach the space station. if the captain had not ordered a course correction, what would have been the magnitude and direction of the path of the spaceship if it has traveled through the nebula?

Awind turbine is initially spinning at a constant angular speed. as the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.173 rad/s2. after making 2870 revolutions, its angular speed is 132 rad/s. (a) what is the initial angular velocity of the turbine? (b) how much time elapses while the turbine is speeding up?

Scientists use laser range-finding to measure the distance to the moon with great accuracy. a brief laser pulse is fired at the moon, then the time interval is measured until the "echo" is seen by a telescope. a laser beam spreads out as it travels because it diffracts through a circular exit as it leaves the laser. in order for the reflected light to be bright enough to detect, the laser spot on the moon must be no more than 1.0 km in diameter. staying within this diameter is accomplished by using a special large-diameter laser. part a if λ = 540nm , what is the minimum diameter of the circular opening from which the laser beam emerges? the earth-moon distance is 384,000 km. express your answer to two significant figures and include the appropriate units.

What tightening torque should be used for a hexagonal head screw (not split-bolt) on a 250 kcmil conductor?