A 1.14×104 kg lunar landing craft is about to touch down on the surface of the moon, where the acceleration due to gravity is 1.60 m/sec2 at an altitude of 165 m the craft's downward velocity is 18.0 m/s to slow down the craft, a retrorocket is firing to provide an upward thrust. Assuming the descent is vertical, find the magnitude of the thrust needed to reduce the velocity to zero at the instant when the craft touches the lunar surface.

A 1.14×104 kg lunar landing craft is about to touch down on the surface of the moon, where the acceleration due to gravity is 1.60 m/sec2 at an altitude of 165 m the craft's downward velocity is 18.0 m/s to slow down the craft, a retrorocket is firing to provide an upward thrust. Assuming the descent is vertical, find the magnitude of the thrust needed to reduce the velocity to zero at the instant when the craft touches the lunar surface.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.62P

See similar textbooks

Similar questions

The x and y coordinates of a 4.00-kg particle moving in the xy plane under the influence of a net force F are given by x = t4 6t and y = 4t2 + 1, with x and y in meters and t in seconds. What is the magnitude of the force F at t = 4.00 s?
In the very Dutch sport of Fierljeppen, athletes run up to a long pole and then use it to vault across a canal. At the very top of his arc, a 55 kg vaulter is moving at 2.5 m/s and is 5.1 m from the bottom end of the pole. What vertical force does the pole exert on the vaulter?
One of the first ion engines on a commercial satellite used Xenon as a propellant and could eject the ionized gas at a rate of 2.98 ✕ 10−6 kg/s with an exhaust speed of 3.04 ✕ 104 m/s. What instantaneous thrust (in N) could the engine provide? (Enter your answer to at least three significant figures. Enter the magnitude.)
A ball of mass m = 1.2 kg is dropped from a height of h = 3.9 m into a pool of water. At a time of t = 1.54 s after striking the surface of the water, the ball's velocity has decreased by 50%. What would be the magnitude of the average force the ball experiences in Newton's during that time (t) ?
The 4 lblb particle is subjected to the action of its weight and forces F1={2i+6j−2tk}lb, F2={t2i−4tj−1k}lb , and F3={−2ti}lb, where t is in seconds. Determine the distance the ball is from the origin 4 ss after being released from rest.
A barefoot field-goal kicker imparts a speedof 27 m/s to a football initially at rest.If the football has a mass of 0.59 kg and thetime of contact with the ball is 0.034 s, whatis the magnitude of the force exerted by theball on the kicker’s foot?Answer in units of N.
A 70 kg bicyclist is riding her 15 kg bicycle downhill on a road with a slope of 80without pedaling or braking. The bicyclist has a frontal area of 0.45 m2and a dragcoefficient of 1.1 in the upright position, and a frontal area of 0.4 m2and a dragcoefficient of 0.9 in a racing position. If the downhill speed of the bicyclist(terminal velocity) can be determined when the total force acting on the “body” inthe direction of movement is equal to zero, determine the percentage of downspeed that she can be increased when she is in a racing position. Air temperatureis 150C and disregarding the rolling resistance and friction at the bearing.
If the only forces acting on a 2.0kg mass are F1=(3i-8j)N and F2=(5i+3j)N, what is the magnitude of the acceleration of the particle?
A 2.0 kg projectile with initial velocity v→ = 6.5i m/s experiences the variable force F→ = -2.0ti +4.0t2j N, where t is in s. What is the projectile's speed at t = 2.0 s? Also, at what instant of time is the projectile moving parallel to the y-axis?
What is the magnitude of the average force, in newtons, exerted on a 0.0295-kg bullet to accelerate it to a speed of 590 m/s in a time of 1.85 ms?
A particle of mass 2.4 kg is subject to a force that is always pointed towards the North but whose magnitude changes quadratically with time. Let the y-axis point towards the North. The magnitude of the force is given as F = 6t2, and has units of newtons Determine the change in velocity Δv, in meters per second, of the particle between t=0 and t=1.3s. Determine the change in y coordinate, in meters, of the particle Δ y betweent=o and t=1.3 if the initial velocity= 15.9 m/s and directed North, in the same direction as the force.
Two forces, F1 = (6.10î + 4.30ĵ) N and F2 = (3.40î + 7.65ĵ) N, act on a particle of mass 2.20 kg that is initially at rest at coordinates (+2.05 m, −4.50 m). (a) What are the components of the particle's velocity at t = 10.7 s? v= (in m/s)