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 two humans of mass 50 kg and 100 kg who are 2, 4, 6, 8, and 10 m
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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 two humans of mass 50 kg and 100 kg who are 2, 4, 6, 8, and 10 m
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Given that gravitational force between two bodies is,
The value of G is G=6.67428 x10-11 Nm2/kg2 .
Step by step
Solved in 2 steps
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- Q2, Q3, and Q5An object of mass m is dropped from height h above a planet of mass M and radius R. Find an expression for the object's speed as it hits the ground. Express your answer in terms of the variables m, M, h, R, and gravitational constant G.A satellite is orbiting around a planet in a circular orbit. The radius of the orbit, measured from the center of the planet is R = 1.4 × 107 m. The mass of the planet is M = 4.4 × 1024 kg. Express the magnitude of the gravitational force F in terms of M, R, the gravitational constant G, and the mass m of the satellite. F = Express the magnitude of the centripetal acceleration ac of the satellite in terms of the speed of the satellite v, and R. ac = Express the speed v in terms of G, M and R. v = Calculate the numerical value of v, in m/s. v =
- In the figure, a square of edge length 19.0 cm is formed by four spheres of masses m₁ = 4.90 g, m₂ = 2.80 g, m3 = 1.30 g, and m4 = 4.90 g. In unit-vector notation, what is the net gravitational force from them on a central sphere with mass m5 = 2.80 g? M²1 mg M5 ·x m₂ MANewton’s version of Kepler’s third law is P2 = 4 π2 / [G (M1 + M2)] · a3, where G is the gravitational constant, which is equal to 6.67*10-11 m3 kg-1 s-2. NASA's New Horizons mission found that Pluto's moon Charon orbits Pluto every 5.3 days at an average distance of 20400.0 km. What is the combined mass (in kg) of Pluto and Charon?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.
- The gravitational acceleration (gravitational field) at the surface of a Planet A is 9 m/s². The radius and the mass of Planet B are both three times larger than those of Planet A. What is the gravitational acceleration on Planet B? O 81 m/s? O3 m/s² O 1 m/s2 O 27 m/s? O 9 m/s2Three identical very dense masses of 5600 kg each are placed on the x axis. One mass is at x1= -120 cm , one is at the origin, and one is at x2 = 380 cm . What is the magnitude of the net gravitational force Fgrav on the mass at the origin due to the other two masses? Take the gravitational constant to be G = 6.67×10−11 N⋅m2/kg2 What is the direction of the net gravitational force on the mass at the origin due to the other two masses?a.) Find the net force on the Moon (mM=7.35×1022kg)(mM=7.35×1022kg) due to the gravitational attraction of both the Earth (mE=5.98×1024kg)(mE=5.98×1024kg) and the Sun (mS=1.99×1030kg)(mS=1.99×1030kg), assuming they are at right angles to each other (Figure 1). Express your answer to three significant figures and include the appropriate units. Fnet= __________ ____________ b.) Determine the direction of the net force. Express your answer to three significant figures and include the appropriate units. θ= ______________ ___________
- Rank the following situations from LEAST to GREATEST gravitational force. Provide an explanation. A B C M M m (2m) D 2M M (m) d 2d (2m)Planet X has four times the diameter and five times the mass of earth. What is the ratio gx:ge of gravitational acceleration at the surface of Planet X to the gravitational acceleration at the surface of the earth? Please put the ratio on decimal form not on fraction form.1. Every particle in the universe attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between them. This force acts along the line joining the two particles. The magnitude of the gravitational force can be written as 2. A 87-kg person and a 78-kg object are near each other. Estimate the magnitude of the gravitational force each exerts on the other. APPROACH This is an estimate: we let the distance between the centers of the two objects be 41.0 m. FG = _____ (Units) 3. A 83-kg person and a 61-kg object are near each other. Estimate the magnitude of the gravitational force each exerts on the other. APPROACH This is an estimate: we let the distance between the centers of the two objects be 39 m. FG = _____ (Units 4. A 65-kg person and a 75-kg object are near each other. Estimate the magnitude of the gravitational force each exerts on the other. APPROACH This is an estimate: we let the…