Question

Assuming an object has a total mass of M and gravitational constant on earth = g,...

Assuming an object has a total mass of M and gravitational constant on earth = g, air resistance = Cd, total surface area = A, initial height = H, and this object has a thruster (assuming constant thrust = F_thrust) that ignites at a time T_ignition and stops burning at time T_turnoff (T_turnoff and T_ignition occur at different time during the process), please derive an equation for the velocity of this linear vertical motion as a function of time, V(t).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 2400-kg test rocket is launched vertically from the launch pad. Its fuel (of negligible mass)...
A 2400-kg test rocket is launched vertically from the launch pad. Its fuel (of negligible mass) provides a thrust force so that its vertical velocity as a function of time is given by v(t)=At+Bt2, where A and B are constants and time is measured from the instant the fuel is ignited. At the instant of ignition, the rocket has an upward acceleration of 1.90 m/s2 and 1.20 s later an upward velocity of 1.50 m/s . Part A) Determine A....
Which one of the following statements is not possible? An object has zero velocity and non-zero...
Which one of the following statements is not possible? An object has zero velocity and non-zero acceleration An object travels with a northward velocity and a northward acceleration An object travels with a constant velocity and a constant non-zero acceleration An object travels with a changing velocity and a constant acceleration              ____________ In a displacement vs. time graph, a sloped (non-horizontal) line indicates: The object is moving with constant, non-zero, acceleration The total displacement of the object is zero...
A balloon filled with gaș has a radius R and mass M. The gas was extracted...
A balloon filled with gaș has a radius R and mass M. The gas was extracted from the Moon and will be launched into Earth by a rocket. Before taking off, the center of the balloon is at a height d. The rocket ignites and gives the balloon F. a constant push up. While the rocket is on, it sinks the surface of the glube a distance r. 1. Calculate the kinetic energy of the balloon when it is at...
Two objects are dropped from the same height on earth. One has a mass three times...
Two objects are dropped from the same height on earth. One has a mass three times greater than the other one. If they are dropped at the same time, assuming no air resistance, which of the following statements is true? The acceleration is the same for both objects, but the force on the lighter object is greater. The lighter object experiences one-third the force of the heavier object, but the acceleration of the two objects are the same. The lighter...
Consider a satellite of mass m in a circular orbit of radius r around the Earth...
Consider a satellite of mass m in a circular orbit of radius r around the Earth of mass ME and radius RE. 1. What is the gravitational force (magnitude and direction) on the satellite from Earth? 2. If we define g(r) to be the force of gravity on a mass m at a radial distance r from the center of the Earth, divided by the mass m, then evaluate the ratio g(r)/g(RE)to see how g varies with radial distance. If...
A 50.0-g object connected to a spring with a force constant of 100.0 N/m oscillates on...
A 50.0-g object connected to a spring with a force constant of 100.0 N/m oscillates on a horizontal frictionless surface with an amplitude of 8.00 cm. a) What is the period (in seconds) and frequency of its motion? b) Assuming that the object's equilibrium position (i.e. when the spring is unstretched) is designated as x = 0, and that at t = 0 the object is located at maximum amplitude, x(t) = A cos (ωt), describes the motion. What is...
1. A body is launched upward at 30 m/s. After how much time is the object...
1. A body is launched upward at 30 m/s. After how much time is the object moving with half the initial speed, but in the downward direction to the nearest hundredth of a second? 2. A girl launches a ball straight up into the air on Earth. The average velocity of the ball from launch point until it attains its maximum height is 24 m/s. Ignore air resistance. What is the maximum height above the launch point to the nearest...
An object of mass m = 0.25 kg has a horizontal spring attached to its left...
An object of mass m = 0.25 kg has a horizontal spring attached to its left side, and slides along a frictionless surface. The spring constant is κ = 0.4 N m . At t = 0 s, the object is displaced 0.1m to the right of its equilibrium position. Its initial velocity is 0.4 m s , toward the right. a) Calculate the period T of the motion. b) Calculate the angular frequency ω. c) Calculate the frequency ν....
Speed means the absolute value of the velocity, hence it is always non-negative. While the sign...
Speed means the absolute value of the velocity, hence it is always non-negative. While the sign of the velocity indicates the direction of the motion, the speed is insensitive to the direction. For example, speed is the value displayed by car’s speedometer; it does not indicate the direction of driving (e.g., northbound versus southbound). At time t = 0 seconds (s) an object has zero velocity and it starts a free fall from the altitude of 1200 metres (m) above...
A satellite of mass 190 kg is placed into Earth orbit at a height of 150...
A satellite of mass 190 kg is placed into Earth orbit at a height of 150 km above the surface. (a) Assuming a circular orbit, how long does the satellite take to complete one orbit? 1.47 Correct: Your answer is correct. h (b) What is the satellite's speed? 7815 Correct: Your answer is correct. m/s (c) Starting from the satellite on the Earth's surface, what is the minimum energy input necessary to place this satellite in orbit? Ignore air resistance...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT