3. This is based on exercise 5.57 in Morin. A particle of mass m is located at the tip of a hollow cone (like an ice cream cone without the ice cream) with surface mass density o (mass/area). The slant height of the cone is L, and the half angle at the vertex is 0. A length < L is removed from the cone, as shown below: in M. Find the gravitational force on the particle, Is the result, finite as f → 0?
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![3.
This is based on exercise 5.57 in Morin. A particle of mass m is located at
the tip of a hollow cone (like an ice cream cone without the ice cream) with surface mass
density o (mass/area). The slant height of the cone is L, and the half angle at the vertex is
0. A length <L is removed from the cone, as shown below:
Find the gravitational force on the particle. Is the result finite as l→ 0?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff76dba93-23d2-47f1-b92c-ad2c0bf14e16%2F7b9aceee-700f-4af4-9445-83268bdef778%2Fko7ewe_processed.png&w=3840&q=75)
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- Sphere A with mass 70 kg is located at the origin of an xy coordinate system; sphere B with mass 73 kg is located at coordinates ( 0.23 m, 0); sphere C with mass 0.55 kg is located at coordinates ( 0.15 m, 0.14 m). In unit-vector notation, what is the gravitational force on C due to A and B?(a) Find the magnitude of the gravitational force (in N) between a planet with mass 8.00 ✕ 1024 kg and its moon, with mass 2.50 ✕ 1022 kg, if the average distance between their centers is 2.90 ✕ 108 m. (Answer in N) (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) Answer in m/s2 (c) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) Answer in m/s2(a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.00 ✕ 1024 kg and its moon, with mass 2.20 ✕ 1022 kg, if the average distance between their centers is 2.50 ✕ 108 m. (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) (c) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.)
- (A) Find the magnitude of the gravitational force (in N) between a planet with mass 7.75 ✕ 1024 kg and its moon, with mass 2.35 ✕ 1022 kg, if the average distance between their centers is 2.20 ✕ 108 m. (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 particle of mass m is placed at a distance r away from the center of a thin circular hoop of mass M and radius R. The particle is in the plane of the hoop, and r < R. M. Find the gravitational force on the particle. Does your answer make sense in the limit r + 0? r + R? 2.A spherical particle is falling through the air. Determine the drag force acting on the particle. The diameter of the particle is 0.1 inches. The velocity of the particle is V = 0.043 ft/sec. Take uair = 3.67e-7 lbs/ft2. Provide your answer in lbs with 2 decimals (in scientific notation, e.g., 1.00*10^-9).
- Problem#2 Given: Newton’s Gravitational Law states that the force, F, between two bodies with masses m1 and m2, respectively, is given by: F=G(m1m2/r2) where G is the universal gravitational constant, and r is distance between the two bodies. Required: Calculate the gravitational force between the Earth and the Moon for an average distance of 385,000 km. Calculate the gravitational force between the Earth and the Sun, and the Earth and Jupiter.Two blocks are released from rest on either side of a frictionless half-pipe (see the Figure below). Block B is less massive than block A. The height HB from which block B is released is less than HA, the height from which block A is released. The blocks collide elastically on the flat section. HA B HB 1) After the collision, which is correct? Block A rises to a height greater than HA and block B rises to a height less than HB. Block A rises to a height less than HA and block B rises to a height greater than HB. Block A rises to height HA and block B rises to height HB. Block A rises to height HB and block B rises to height HA. The heights to which the blocks rise depends on where along the flat section they collide. SubmitThe free-fall acceleration on the surface of a fictional planet is about 1/2 that on the surface of the Earth.. The radius of the planet is about 0.71RE (where we use the symbol RE = Earth's radius). Find the ratio of their average densities, pp/Pɛ. Please feel free to look up the earth"s radius in the table in your text-book.
- 4.7** 12. Suppose that the angle 0 in Figure 4.7 is 30° a) Find the components of the earth's gravitational acceleration along the initial veloc- ity vector (the x-axis in Figure 4.8) and perpendicular to the velocity vector (along the y-axis shown in the figure). b) If the initial muzzle velocity of the cannon is 600 m/s, how far in the x-direction, along the initial velocity, will the cannonball be after 2 seconds? y ө Figure 4.7 The projectile problem with an unusual choice of coordinate system. S#a)find the magnitude of the gravitational force (in N) between a planet with mass 9.00 ✕ 1024 kg and its moon, with mass 2.20 ✕ 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.) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.)HINT M. kg (a) Find the magnitude of the gravitational force (in N) between a planet with mass 6.50 x 1024 and its moon, with mass 2.55 x 10 kg, if the average distance between their centers is d= 2.90 x 108 m. %3D N (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) m/s? (c) What is the planet's acceleration (in m/s²) toward the moon? (Enter the magnitude.) m/s2