A mass m is suspended from a massless spring of natural length 90 cm with the spring constant k = 10 Nm1 and causes the spring to extend by 7.9 cm. Assuming the gravitational field strength g = 9.8 ms2, calculate the value of the mass on the spring. Give your answer in SI units. Answer: Choose.. +
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- In this problem you will measure the gravitational constant in a series of “observational experiments,” making use of Newton’s law of gravitation and second law of motion as well as Kepler’s third law of planetary motion Suppose a rocket is launched as described in part (d) with an initial speed of vi = 494 m/s and attains a peak altitude of H = 12.7 km above the surface of Earth. Taking ME = 5.95×1024 kg and Ri = 6.41×106 m, what is the measured value of the gravitational constant, in units of N⋅m2/kg2?On the surface of a planet, you step on a bathroom scale and observe a reading of 180 N. You then board a de-elevator that goes to the center of the planet. On the way down, you stop, weigh yourself again and observe a reading of 50 N. How far below the planet's 'sea level' have you decended in km? Assume the planet radius and mass are 2370 km and 2.8 E23 kg, respectively.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= ______________ ___________
- What is the gravitational field intensity at a distance of 8.4 x 107 m from the centre of Earth?One of your summer lunar space camp activities is to launch a 1090 kg rocket from the surface of the Moon. You are a serious space camper and you launch a serious rocket: it reaches an altitude of 227 km. What gain in gravitational potential energy does the launch accomplish? The mass and radius of the Moon are 7.36×10^22 kg and 1740 km, respectively.An earth-like planet with a mass of 8.00×1024 kg has a space station of mass 4.70×104 kg orbiting it at a distance of 3.00×105 km. What is the gravitational potential energy between the space station and the planet? (We can simplify the Gravitational Constant G to 6.7x10-11 Nm2/kg) J
- You encounter a strange cosmic string in outer space. The string extends along the x axis from x = 0 m to x = 4.6 x 104 m. You are located at x = -5.4 x 104 m. You experience a gravitational field equal to 9.6 x 10-6 N/kg at this location. Assuming the string has a constant linear mass density, calculate this linear mass density, in units of 105kg/m. Use G = 6.7 x 10-11 N m2/ kg2. (Please answer to the fourth decimal place - i.e 14.3225)One of your summer lunar space camp activities is to launch a 1210-kg rocket from the surface of the Moon. You are a serious space camper and you launch a serious rocket: it reaches an altitude of 229 km. What gain in gravitational potential energy does the launch accomplish? The mass and radius of the Moon are 7.36 × 1022 kg and 1740 km, respectively.A solid uniform sphere has a mass of 4.00 x 10* kg and a radius of 1.5 m. (Use the following as necessary: r and m. Assume SI units. Do not enter units in your ansWers.) (a) What is the magnitude of the gravitational force due to the sphere on a particle of mass m located at a distance of 1.6 m from the center of the sphere? F = N. (b) What if it is 1.4 m from the center of the sphere? F = N. (c) Write a general expression for the magnitude of the gravitational force on the particle at a distancer 1.5 m from the center of the sphere. F = Additional Materials eBook Powers of Ten
- After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 46.0 cm. The explorer finds that the pendulum completes 98.0 full swing cycles in a time of 145 s. What is the magnitude of the gravitational acceleration on this planet? Express your answer in meters per second per secondgPlanet=(?)m/s^2Tidal forces are gravitational forces exerted on different parts of a body by a second body. Their effects are particularly visible on the earth's surface in the form of tides. To understand the origin of tidal forces, consider the earth-moon system to consist of two spherical bodies, each with a spherical mass distribution. Let r. be the radius of the earth, m be the mass of the moon, and G be the gravitational constant. Part B Since the gravitational force between two bodies decreases with distance, the acceleration anear experienced by a unit mass located at the point on the earth's surface closest to the moon is slightly different from the acceleration afar experienced by a unit mass located at the point on the earth's surface farthest from the moon. Give a general expression for the quantity anear-afar Express your answer in terms of G, m, r, and re. ▸ View Available Hint(s) anear afar = ΜΕ ΑΣΦ ? x Xb √√x √x X [X] X.10" Variables are case sensitive. No credit lost. Try again.After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 49.0 cm. The explorer finds that the pendulum completes 90.0 full swing cycles in a time of 132 s. What is the magnitude of the gravitational acceleration on this planet? Express your answer in meters per second per second. ► View Available Hint(s) gplanet = VE ΑΣΦ ? m/s²