Question

please, help me with number 2,3,4,5 and 6. Thank you

ARO2041 HW 01 (2) (Protected View) Word (Unlicensed Product) Mailings Review View Help Tell me what you want to do contain viruses. Unless you need to edit, it's safer to stay in Protected View. Enable Editing n disabled because it hasn't been activated. Activate IIJ YoU are running on the treadmill at he 24 Hour Fitness, and the machine says your speed is 6 mi/hr. You need to run a 7 minute mile to qualify for the Boston mile-athorn fundraiser against marmot cancer. (a) What is your speed in minutes per mile? (b) What is your speed in km/hr? (c) will you qualify for the race? 12] You've been corresponding with a Martian female through the NASA student- space corespondence program. She writes that she is a champion twister player on Mars, and wants to know if you would like to play her in the next event. An earlier correspondence revealed her weight on Mars as 125 lbs. You learn from a search that the acceleration of gravity on Mars is 13.2 ft/s. (a) What is her weight on earth? (b) Would you play twister with her? (c) What is her mass in slugs? Google [3] A small bug is lying resting when nine ants simultaneously ambush it and begin pulling it in different directions. They are each applying force to the meatloaf of a different magnitude and direction. The resultant of all these forces is zero, and the bug amazingly does not rip apart under the strain. (a) Will the bug move or remain motionless? Why? 4] A black box falls from an Airbus airplane flying overhead at 32,000 feet. As it approaches you see W 400 lbs engraved on the side in white paint. It falls right at you and lands at your feet. (a) What is its acceleration just before it makes contact? [5] An astronaut weighs 200 lb at sea level. The radius of the earth is 3960 miles. What force is exerted on the astronaut if he is floating 125 miles above the earth's surface? (6) Earth's orbit around the sun is not perfectly circular. The nearest point of its orbit is 1.471E8 kilometers. The mass of the sun is 1.989E30 kilograms. The mass of the earth is 5.97E24 kilograms. The universal gravitational constant is 6.6738E-11 N(m/kg)i. (a) What is the force exerted by the sun on the earth they are closest together? (b) What is the cormesponding force of the earth on the sun? ANSWERS 1. (a) 10.00 min/mile, (b) 9.65 km/mi, (c) no 2. (a) We-305 lb, (b) no, (c) 9.47 slugs 3. Remains motionless 4. a-32.2 f/s 5. F187.9 lb

Answer 1

2] Acceleration due to gravity on Earth is g = 32.2 ft/s²

since the mass of the person must remain the same regardless of the gravitational force (weight),

W_mars/g_mars = W_earth/g_earth

=> W_earth = (g_earth/g_mars)W_mars = (32.2/13.2)(125) = 304.92 lb

this is the weight of the person on Earth.