Answer question #1 and then choose any 2 additional questions from #2-#4. Be sure to give a complete solution using proper form and good communication. A Level 4 will include correct form, clear and proficient communication and no additional time scaffolding. Students may choose the Level 3 supported option which includes additional time. #1. The Earth has a mass of 5.98 x 1024 kg and a radius of 6.37 x 10 m. A 76.5 kg student stands on the equator while the earth rotates. Use the information about the earth to: Draw a FBD for the student that includes his/her motion due to earth's spin Find the normal force acting on the student by using Newton's second law. You may report as many significant figures as you need to show that the normal force and the force of gravity are not exactly the same. Be sure to provide a complete solution with good communication. #2. R2D2, mass of 41.0 kg, was trying to help BB-8, mass of 34.0 kg, climb a 32.0" ramp. Unfortunately, both little droids ran out of power and are now left to friction and physics. Both droids cannot roll, only slide. R2D2 is on a 47.0" ramp with a coefficient of friction of 0.0500 and BB-8's ramp has no friction. Find the acceleration of the droids and the tension in the cable. Be sure to show a complete solution with good communication.#3. Thor uses his hammer, Mjolnir, as his primary weapon in battle. If he swings his 19.19 kg hammer at exactly 4 (no effect on sig figs) revolutions per second creating a centripetal force of 16970N, find the radius of the circle of his devastating swing. Then, use this radius to find the speed of the hammer. If Thor releases the hammer at an angle of 21.5" above the horizontal, find the maximum height and the horizontal range of the hammer if it lands at the same height from which it was thrown