Lab #2

Newton's law of universal gravitation is represented by Mm F = G• where F is the gravitational force, M and m are masses, and r is a length. Force has the Sl units kg - m/s?. What are the Sl units of the proportionality constant G?

Schwarzschild radius RS of a black hole is the maximum distance from the black hole’s center at which light cannot escape its gravitational field. The quantity RS (with dimensions of length) is dependent on the mass of the black hole M, the speed of light c, and the gravitational constant G. Based on the dimensions of these four parameters, predict an equation for the Schwarzschild radius. Hint: G has dimensions of [L3/MT2]

Problem 10:  You are a scientist exploring a mysterious planet. You have performed measurements and know the following things: •The planet has radius d.•It is orbiting his star in a circular orbit of radius b.•It takes time T to complete one orbit around the star.•The free-fall acceleration on the surface of the planet is a.  a)Derive an expression for the mass MS of the star in terms of b, T, and G the universal gravitational constant.

QUESTION 3 - The following equation refers to v-pendulum experiment: T4 = (4x4 Lk/g²)(8 n4L/g² )d, where: L: length of the string (2 meters). T: pendulum periodic time d: distance between rods k: pendulum constant g: gravitational acceleration Given that the slope of the graph (T4,d)= -14.2 s4/m, and y-intercept -13.5 s4, Find the value for g: 9.81 m/s² Can't be defined a- 8.51 m/s2 10.5 m/s2

Give an example of something we think of as work in everyday circumstances that is not work in the scientific sense.

In Newton's 2nd law experiment, the relation between the added mass (M₁) and the inverse of the acceleration M. (kg) (1/a) is shown in the figure. The driving force is constant (M₁0.08 kg). Q5: The magnitude of the gravitational acceleration (in m/s) estimated Slope= 0.85 N from the graph is: a) 11.88 b) 9.50 c) 8.50 d) 13.25 e) 10.63 0.4 1/a (s/m) 06: The mass of the cart Mc (in kg) is: a) 0.30 b) 0.28 c) 0.24 d) 0.20 e) 0.26 M. Mc Mh

a. During one trial of his experiment, Cavendish measured the force of attraction betweena 158 kg sphere and a 0.730 kg sphere placed 230 mm apart to be 1.74 x 10-7 N.Calculate the universal gravitational constant based on these values. b. Describe two potential sources of error in his measurement.

The center of a moon of mass m = 8 × 1023 kg is a distance D = 97 × 105 km from the center of a planet of mass M = 10.9 × 1025 kg. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero.   a. Derive an expression for x.  b.  Calculate x in kilometers, given the variables in the beginning of the problem.

Help me to solve this problem step by step and give answer as a 3 significant figures

In this problem we are going to compare the strength of the gravitational interaction between the Moon and the Earth and the Sun and the Earth. We will do this by finding the gravitational field g due to the Moon or the Sun, which is the acceleration that the Earth would have if it were interacting with each of them. a) Calculate the magnitude of the gravitational field of the moon at the location of Earth, in meters per square second. b)Calculate the magnitude of the gravitational field of the Sun at the location of Earth, in meters per square second. c)Calculate the ratio of the gravitational field of the Sun to the gravitational field of the Moon, at the location of Earth.

At what altitude above Earth's surface would the gravitational acceleration be 1.50 m/s²? (Take the Earth's radius as 6370 km.) Number i Units

1)Robert E. (1917–1989) discovered two planets. he estimated their masses to be m and M and found that the ratio of their masses, M/m = 36. The distance between the planets is L. The point P, is between the planets and the distance between m and P is x. The gravitational forces on an object at P, due to M and m, are equal in magnitude. A) What is the value of x? B) If you replace the two planets (now x is the distance between M and P),  what would be the new value of the x?

PROBLEM SOL VING ACTIVITY 1. The moon has a mass of 7.34 x 10 22 kg and a radius of 1.74 x 105 meters. If you have What's More he moon has a mass of 7.34 x 10 4 kg and a radius of 1.74 x 105 meters. If you have e mass of 66 kg, how strong is the force between you and the moon? 2. A distance of 0.002 m separates two objects of equal mass. If the gravitational force between them is 0.0104 N, find the mass of each object.

4 An engineer wants a satellite to orbit the earth with a period of 52 hours. Hint: You need to find an equation for r in terms of givens (T, M and Gonly). Start by setting your two equations for acceleration equal. Then rearrange the orbital period equation to solve for T and substitue. Finally, solve for rand plug in! You may enter answers in scientific notation as shown: 1.23 x 105 = 1.23e5 At what orbital radius must the satellite orbit? How far is this above the earth's surface? m At what speed does the satellite need to orbit? earth data mass: 5.97 x 1024kg radius: 6.37 x 10m m/s finalize (after completing ALL problems) check answers cannot be determ niversal gravitation, challenge cientific Online Calculator

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Please answer question 1

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At what altitude aboye Earth's surface would the gravitational acceleration be 1.40 m/s²? (Take the Earth's radius as 6370 km. Number i Units

Constants Every few hundred years most of the planets line up on the same side of the Sun. Part A Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line,(Figure 1). The masses are my — 0.815mE, тj — mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. 318mв, mSat %3D 95.1mв, and the Figure 1 of 1 Express your answer to three significant figures and include the appropriate units.

Please help with P-3.1