Question 5 [3/65]: The rocket moves in a vertical plane and is being propelled by a thrust 7 of 32 kN. It is also subjected to an atmospheric resistance R of 9.6 kN. If the rocket has a velocity of 3 km/s and if the gravitational acceleration is 6 m/s² at the altitude of the rocket, calculate the radius of curvature p of its path for the position described and the time-rate-of-change of the magnitude v of the velocity of the rocket. The mass of the rocket at the instant considered is 2000 kg. Vertical 30° T 1

Question 5 [3/65]: The rocket moves in a vertical plane and is being propelled by a thrust 7 of 32 kN. It is also subjected to an atmospheric resistance R of 9.6 kN. If the rocket has a velocity of 3 km/s and if the gravitational acceleration is 6 m/s² at the altitude of the rocket, calculate the radius of curvature p of its path for the position described and the time-rate-of-change of the magnitude v of the velocity of the rocket. The mass of the rocket at the instant considered is 2000 kg. Vertical 30° T 1

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter13: Gravitation

Section: Chapter Questions

Problem 49P: The “mean” orbital radius listed for astronomical objects orbiting the Sun is typically not an...

See similar textbooks

Similar questions

A space explorer lands on a certain planet and does an experiment to measure the local gravity. She launches an object straight upward and observes that it takes a total time T to return to the launch point and attains a maximum height h above the launch point. Derive an expression forthe value of g on this planet in terms of h and T and any appropriate constants.
A objectwas thrown on a sufficiently large inclined plane at time t = 0 with velocity v0 = 10 (m/s) as shown in the figure. Find the radius of curvature of the object's orbit after 1 second.
Would the acceleration of a particle be zero in a curvilinear orbit without gravitational effects in space? Explain with formulas.
Consider a circular-motion problem in which tension not only must provide the proper radial acceleration but also must balance gravity. As we shall see, it can do both. A tetherball is attached to a swivel in the ceiling by a light cord of length L, as measured from the ceiling to the center of the tetherball. When the ball is hit by a paddle, it swings in a horizontal circle with constant speed vv, and the cord makes a constant angle β with the vertical direction. The ball goes through one revolution in time T. Assuming that T, mass mm, and length L of the rope are known, derive algebraic expressions for the tension FT in the cord and the angle β. a)What is the period T of the ball’s motion if L=2.0m and the cord makes an angle of β=40∘with the vertical?
kindly answer it immediately -A cross country skier 7.40 km in the direction 30 degrees west of south, then 2.80 km in the direction 45 degrees north of west, and finally 6 km in the direction 22 degrees east of north. To then return to his starting point, how far and in what direction must he travel? -A person who is 35 ft east of you runs north at 16 ft/s. At what angle north of east would you throw a ball at 60 ft/s groundspeed in order to hit him? -What is the kinetic energy of a 3000 lb automobile which is moving at 30 mi/h?
At an altitude of 4 times the radius of the earth, the acceleration due to gravity is
Miranda, a satellite of Uranus, is as shown. It can be modeled as a sphere of radius 242 km and mass 6.68 × 1019 kg. (a) Find the free-fall acceleration on its surface. (b) A cliff on Miranda is 5.00 km high. It appears on the limb at the 11 o’clock position as shown and is magnified as shown. If a devotee of extreme sports runs horizontally off the top of the cliff at 8.50 m/s, for what time interval is he in flight? (c) How far from the base of the vertical cliff does he strike the icy surface of Miranda? (d) What will be his vector impact velocity?
In the very Dutch sport of ducth-dude-on-a-pole, athletes run up to a long pole and then use it to vault across a canal. At the very top of his arc, a 70kg vaulter is moving at 3.5m/s and is 5.0m from the bottom end of the pole. What vertical force does the pole exert on the vaulter (in magnitude)?
Can anything ever have a downward acceleration greater than the gravitational acceleration? If not, Why? If so, how can it be done?
The Moon's orbit around the Earth can be considered circular due to the low eccentricity of its orbit. Considering only the Moon's movement around the Earth (and disregarding the Moon's rotation around its own axis), knowing that the Moon takes 27 days to complete one revolution around the Earth, that the Earth-Moon distance is 384400 km and that the magnitude of its velocity is constant during the orbit, what is the magnitude of the acceleration of the center of the Moon? a) Acceleration is zero because velocity is constant. b) a=1,62m/s^2 c) a=9,78m/s^2 d) a=4,44×10^−4m/s^2 e) a=3,4×10^−2m/s^2 f) None of the other alternatives. g) a=2,79×10−^3m/s^2 h) a=7,06×10^−5m/s^2
In a horizontal uniform circular motion, is the centripetal force acting on the stopper provided by the tension in the string, always equal to the weight of the hanging mass?
An experimental jet rocket travels around Earth along its equator just above its surface. At what speed must the jet travel if the magnitude of its acceleration is g?