Asimple pendulum consists of a brass sphere of mass m = 1 kg suspended on a string of length l ≈ 1 meter. the pendulum oscillates with amplitude a = 1 cm and period t = 2 seconds. which of the following alterations will change the period of the pendulum’s oscillations to t ′ = 1 second? 1. using a lighter brass sphere of mass m ′ ≈ 0.25 kg. 2. using a shorter string of length l ′ ≈ 0.25 meters. 3. using a longer string of length l ′ ≈ 2 meters. 4. using a longer string of length l ′ ≈ 4 meters. 5. using a shorter string of length l ′ ≈ 0.5 meters. 6. increasing the oscillation amplitude to a ′ = 4 cm. 7. using a heavier brass sphere of mass m ′ ≈ 4 kg. 8. reducing the oscillation amplitude to a ′ = 0.25 cm.

May someone explain how to do this question?

Aplane flies a distance d from west to east at a constant speed vp , with respect to the air in a time twe . on the return trip, the plane flies a distance d from east to west at a constant speed vp , with respect to the air in a time tew . on both trips the wind blows from west to east at a constant speed va , with respect to the ground 1) what is tew in terms of vp, va, and d, as needed? tew=dvp tew=dvp+va tew=dva tew=dvpâ’va tew=12dvp tew=12dvp+va tew=12dvpâ’va your submissions: b submitted: saturday, january 26 at 6: 49 pm feedback: feedback will be given once all questions have been attempted and the grade cluster button has been pressed. 2) what is twe in terms of vp, va, and d, as needed? twe=dvp twe=dvp+va twe=dva twe=dvpâ’va twe=12dvp twe=12dvp+va twe=12dvpâ’va your submissions: d submitted: saturday, january 26 at 6: 49 pm feedback: feedback will be given once all questions have been attempted and the grade cluster button has been pressed. 3) assuming d = 2300 miles, vp = 400 miles/hr, and twe = 4 hours, what is va, the speed of the wind with respect to the ground? va = 100 miles/hr va = 575 miles/hr va = 200 miles/hr va = 175 miles/hr va = 975 miles/hr 4) once again, assuming d = 2300 miles, vp = 400 miles/hr, and twe = 4 hours, what is tew, the time it takes the plane to fly a distance d miles from east to west? tew = 5.75 hours tew = 11.5 hours tew = 7.67 hours tew = 8 hours tew = 10.2 hours

Need people build a dam to create a reservoir that supplies water a nearby city needs. describe two ways this action will likely affect the water cycle in the local environment. (5 points) worth 20 points