Three lead balls of mass m₁ = 14 kg, m₂ = 27 kg, and m3 = 9.7 kg are arranged as shown in the figure below. Find the total gravitational force exerted by balls 1 and 2 on ball 3. Be sure to give the magnitude and the direction of this force. magnitude N direction y (m) 4 3 2 1 0 m1 O counterclockwise from the +x-axis ● m₂ m3 2 3 4 5. -x-(m)
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- The drawing below shows three particles far away from any other objects and located on a straight line. The masses of these particles are mA = 365 kg, mB = 520 kg, and mC = 142 kg. d1 = 0.436 m and d2 = 0.218 m. Calculate the magnitude of the net gravitational force acting on particle A.Two balls, each with a mass of 0.855 kg,exert a gravitational force of 8.89 × 10−11 Non each other.How far apart are the balls? The valueof the universal gravitational constant is6.673 × 10−11 N m2/kg2. Answer in units of m.Consider the earth following its nearly circular orbit (dashed curve) about the sun.(Figure 2) The earth has mass mearth = 5.98×1024 kg and the sun has mass msun = 1.99×1030kg. They are separated, center to center, by r = 93 million miles = 150 million km What is the magnitude of the gravitational force acting on the earth due to the sun?
- Three 0.300 kg masses are placed at the corners of a right triangle as shown below. The sides of the triangle are of lengths a = 0.400 m, b = 0.300 m, and c = 0.500 m. Calculate the magnitude and direction of the gravitational force acting on m3 (the mass on the lower right corner) due to the other 2 masses only. G = 6.67x10 11 N m²/kg² m2 a TM 3There are 4 identical objects. Each of them has mass m and they are held at the corners of the squares. The squares have a side length of a. Assume that there is object x that has the same mass m and is placed at the midpoint of the square's bottom side. Find the magnitude of the net gravitational force on object x due to the other mass. Look at the figure to visualize the context. Choices: a. 16Gm² 5√5 a² b. 4Gm² 5√√/5a² c. 8Gm² 5√√/5a² ed: zero a dar X aA 33.0 kg satellite has a circular orbit with a period of 2.60 h and a radius of 7.90 × 106 m around a planet of unknown mass. If the magnitude of the gravitational acceleration on the surface of the planet is 8.20 m/s?, what is the radius of the planet? Number i Units
- (a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg and its moon, with mass 2.25 ✕ 1022 kg, if the average distance between their centers is 2.20 ✕ 108 m. N (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) m/s2 (c) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) m/s2a) Find the magnitude of the gravitational force between a planet with the mass 7.50 x 10^24 Kg and its moon, with mass 2.70 x 10^22 Kg, if the average distance between their centers is 2.80 x 10^8 m. b) What is the acceleration of the moon towards the planet? c)What is the acceleration of the planet towards the moon?Three lead balls of mass m₁ = 14 kg, m₂ = 27 kg, and m3 = 9.7 kg are arranged as shown in the figure below. Find the total gravitational force exerted by balls 1 and 2 on ball 3. Be sure to give the magnitude and the direction of this force. magnitude N direction ° counterclockwise from the +x-axis y (m) 4 3 2+ 1 0 m1 O m2 m3 1 2 3. 4 5. -x-(m)
- The drawing shows three particles far away from any other objects and located on a straight line. The masses of these particles are mA = 323 kg, mB = 572 kg, and mc = 199 kg. Take the positive direction to be to the right. Find the net gravitational force, including sign, acting on (a) particle A, (b) particle B, and (c) particle C. B 0.500 m 0.250 m (a) Number Units (b) Number Units (c) Number Units Click if you would like to Show Work for this question: Open Show WorkThe diagram below shows three masses at the corners of a square of sides d = 3.10 m. Here, m, = m2 = m and m3 = 4.10m where m = 2.00 kg. m2 m3 d m (a) What is the magnitude of the gravitational field at the center of the square due to these three masses? m/s2 (b) Suppose the two masses m, and m, are not equal. What value of m, will produce a gravitational field at the center of the square directed vertically down? kg Additional MaterialsThe masses and coordinates of three spheres are as follows: 24 kg, x = 2.1 m, y = 0 m; 54 kg, x = -2.1 m, y = 0 m; 220 kg, x = 0 m, y = 2.4 m. What is the magnitude of the gravitational force on a 84 kg sphere located at the origin due to the other spheres? Number i 0.0000014 Units N