1. Determine the force of gravitational attraction between a 67-kg father and his 12.8-kg son if they are separated at a distance of 5.29 x 105 m from each other. a. 1.02 x 1029 N b. 1.44 x 10-5 N c. 1.01 x 10-7 N d. 2.04 x 10-19 N 2. Two objects with equal masses of 1 kg each are separated by a distance of 1 m. The gravitational force between the objects is: a. Slightly less than G b. Slightly greater than G c. Equal to G d. Half as much as G
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- plz all 3I. Answer the following questions A father, whose mass is 82.5 kg, is watching her daughter sleep. He exerts 6.45 x 10-8 N of gravitational force to her 25kg daughter. How far is her father from her? A. 146 meters B. 1.46 centimeters C. 14.6 meters D. 146 centimeters A satellite is moving in a circular orbit at a height of 2700 km above the surface of the Earth? What is the period of this satellite in hours? Mass of Earth = 5.972 X 1024 kg. Radius of Earth = 6.38 x 103 km A. 22.3 hours B. 23.9 hours C. 2.23 hours D. 2.39 hoursBalls A and B attract each other gravitationally with a force of magnitude F at distance R. If we triple the mass of ball B and triple the separation of the balls to 3R, what is the magnitude of their attractive force now? A. F B. F/3 C. 3F D. F/9 O D B O C O A
- 1. Gravity: a. What is the magnitude and direction of the gravitational force that the Earth exerts on you in Sl units? Make a reasonable numerical estimate and include units. b. The SI unit of force is a newton. What is a newton in terms of the more basic units, kilograms (kg), meters (m), and seconds (sec)? What is the magnitude and direction of the gravitational force that you exert on the Earth? Consider your answer to part a. 2. Contact Forces¹: Besides gravity, nearly all other forces we will encounter in this course are contact forces, which means that the two objects must be touching for the objects to exert forces on each other. Normal Force: When a surface is touching an object, the surface exerts a force on the object that is perpendicular to the surface and pushes into the object. This is called a "normal" force (normal means perpendicular in math). The harder the surfaces press against each other, the larger the normal force.²3. An apple hangs on a tree on the Earth. Which of the following statements is correct? a. The force on the apple is greater than the force on the Earth because the Earth is more massive. b. The force on the Earth is greater than the force on the apple because the Earth is more massive. c. The force on the apple is less than the force on the Earth because the tree is supporting the apple. d. The forces on the apple and Earth are equal. 4. Planet Alpha has the same radius and 4 times the mass of the Earth. What is the best estimate for the magnitude of the gravitational field at the surface of planet Alpha? a. 10 m/s? b. 2.5 m/s? c. 20 m/s? d. 40 m/s?The gravitational force between two objects with masses 14kg and 23kg separated by a distance 7m is x10-11 N. O a. 306.82 O b. 105239.26 O c. 15034.18 O d. 43.83
- 3. Two astronauts in space, each will a mass of 100 kg, are 2 meters apart from one another. a) What is the gravitational force between them? b) Both astronauts are initially at rest, but the force of gravity between them will cause them to accelerate toward one another. At what rate will they accelerate toward one another? (a = F/m.) ans. a) 1.67 x 10-7 N %3DTask 1: Gravitational Fields 1. A person with a mass of 60 kg is inside a rocket that is moving straight up, away from the earth's surface. The radius of the earth is 6.38 x 105 m and the mass of the earth is 5.98 x 1024 kg. a. Find the force of gravity acting on the person at an altitude of 300 000 m. b. Find the altitude that will cause the person's weight to drop to one-quarter of its value on the earth's surface. 2. Mass 1 is four times as large as mass 2. Both masses are at rest and are separated by 200 m. Where could you place a third mass, mass 3, if the net force on 3 must be zero?7. A 70 kg astronaut orbits the moon at a distance of 7.2 x 10° m from its center. (Mass of moon = 7.35 x 10²² kg) a. What is the force acting on the astronaut by the moon? b. How fast is the astronaut orbiting around the moon?
- B. At what distance above the earth's surface will your weight decrease to half of what it is at the surface? The radius of the earth is 6.38 x 106 m. 06380 km 1824 km 3482 km 2640 km 9. Earth has a radius of 6370 km. What is earth's mass? Use G= 6.67 × 10-11 Nm2/kg?. 07.0 x 1026 kg kg 04.0 x 1025 06.0 x 1024 kg 05.0 x 1023 kg 10. Neutron stars have about the same mass as our sun but a much smaller diameter. The radius of a neutron star is 10 × 10³ m and its mass is 1.99 × 1030 kg. If you weigh 675 N on the earth, what would you weigh on the surface of a neutron star? 08.36 x 1013 N 07.42 x 1013 N 06.87 x 1013 N 09.16 x 1013 N 00005. In which of the following cases would you feel weightless? A Walking on the moon B. Falling from an airplane with your parachute open C. Traveling through space in an accelerating rocket D. Taking an exam5. A ball is thrown with an initial velocity of 8.5 m/s at an angle of 30.0⁰ from the horizontal. How long the ball is in flight? (assume g = 9.81 m/s²) 6. The planet A has a mass of 1.972-1024 kg and the planet B has a mass of 5.348-1024 kg. What is the distance between the planet A and planet B if the force of gravity between them is 2.111-1022 N?. (assume G = 6.670-10-¹¹ Nm²/kg²) 1770