According to one legend, Newton was inspired to create his concept of gravity when he was struck on the head by a falling apple. As the legend goes, he looked up at the full moon that evening and wondered why the apple falls down out of the tree, but the Moon doesn't fall down out of the sky. How would you answer this question after reading this section?
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According to one legend, Newton was inspired to create his concept of gravity when he was struck on the head by a falling apple. As the legend goes, he looked up at the full moon that evening and wondered why the apple falls down out of the tree, but the Moon doesn't fall down out of the sky. How would you answer this question after reading this section?
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- You are standing on a bathroom scale in an elevator (yes people are staring at you). You weigh 50 kg but the scale reads in Newtons. Weight (force of Gravity) = Mass x Gravity (10m/s2) As the elevator comes up on the ground floor it decelerates at 2 m/s2 downward. What is the Gravitational Force? Since the elevator is decelerating downward does the Normal Force have to be greater than, equal to or less than the Force of Gravity? Are the forces balanced or unbalanced? Draw a free body diagram of the forces acting on you. Be sure to draw the size of your arrows appropriately. What is the Net Force, using Newton’s 2nd Law, while the elevator is decelerating downward? What is the Normal Force? What does the scale read as the elevator is decelerating downward? What pattern did you notice occurred between all of the different scenarios?Weight w are fired from a giant cannon made by a shooting club. In early tests of the cannon, pointed straight up, the people want to shoot a projectile to an altitude of 1.5RE, where RE is the radius of the earth. Dismiss the effects of air resistance and the rotation of the earth. (Note: g = GME/RE2, where G is Newton’s gravitational constant, ME is the mass of the earth and RE is the radius of the earth.) What must the muzzle speed of the projectile be for it to get this high? What is the speed of the projectile when it returns to the surface of the earth (just before hitting the ground)?In the book 2010: Odyssey Two, Chinese astronauts land on Europa, one of Jupiters Moons. Suppose one of these astronauts on Europa drops a tool 2 m above the ground. How long will it take for it to hit the ground? MEuropa = 4.7998×1022 kg, REuropa = 1.561×106
- Imagine you travel to a new planet. You drop a ball from the top of your spaceship and measure the velocity of the ball every second. You plot these data on the graph below, Based on this information, what is the gravitational acceleration on this planet? 12 10 8 4 2 4 6 8. 10 12 Time (s) 9.8 m/s? 1.0 m/s? 12 m/s? 2.5 m/s? 00 2. Velocity (m/s)1A distant planet with a mass of (2.800x10^26) has a moon with a mass of (9.0000x10^23). The distance between the planet and the moon is (8.8000x10^11). What is the gravitational force between the two objects? Note: Your answer is assumed to be reduced to the highest power possible.
- Assume the data collected were as follows: (where the force in Newtons is computed by converting the mass to kilograms and then multiplying by the gravitational acceleration 9.8 m/s²) m (grams) Force (Newtons) x (cm) (measured) (computed) (measured) 1000 9.8 1 2000 19.6 1.5 3000 29.4 2.1 4000 39.2 2.4 5000 49 3 Make a plot of force vs. stretch distance x. This means force should be on the vertical axis. Since Fgravity = -Fspring (they are in opposite directions) and Fspring = -kx, then: Fgravity = kx This means the slope of your graph is the spring constant k. Fill in your value for k (measured in Newtons/cm)On Earth, a person has a weight of 520 N. What weight would the person have on Mars? Theradius of Mars is 53% of the radius of Earth, and its mass is 11% of the mass of Earth.a) An object weights 4000 N on planet Alpha. Planet Alpha has 8 times the mass of planet Beta and 4 times the radius of planet Beta. What will the object weight on planet Beta? b) A 60 kg person is sitting on a bathroom scale while riding on a Ferris Wheel. The Ferris Wheel has a radius of 9 m and the person's speed is 3 m/s. Find the scale reading when the person is at the bottom of the motion.
- Scientists have discovered a distant planet with a mass of 8.2x1023 kg. The planet has a small moon that orbits with a period of 6 hours and 36 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).true or false. For the moon the gravitational pull of the Earth is the centripetal force that keeps the moon orbiting the Earth.Scientists have discovered a distant planet with a mass of 6.5x1023 kg. The planet has a small moon that orbits with a period of 5 hours and 15 minutes. Use only this information (and the value of G) to calculate the radius of the moon's orbit (in units of 106 m).