A rocket is launched on a constant thrust mission in a vertical trajectory; g = 9.8 m/s 2 and dragis small compared to gravitational forces. The takeoff weight is 350 kN, the specific impulseis 300 sec. The maximum acceleration that the payload can experience is 7 g’s.Calculate the maximum velocity increment (Du) in m/s that this rocket can provide to thepayload, and if it gives this velocity to the payload, determine the mass of the payload and themass of the propellant. (Neglect the weight of the rocket casing, structure, engines, etc., sototal mass = mass of payload + mass of propellant)

The thrust generated by a single jet engine a for s F=59000n. It take the plane (with a mass of m=6300kg) a distance of D =0.95km to take off How far meters would you need to depress spring k=100,000 N/m in order to launch the plane at the same speed without help from the engine?

You are controlling a satellite with a mass of 300 kg. The main and lateral thrusters can exert the forces shown. How long do you need to run each of the thrusters to achieve the final velocity as shown in the diagram? Assume the satellite has zero initial velocity.

A launcher is able to move a projectile up its barrel as position = 0.4t2 + 0.4e1t meters. What is the projectiles acceleration at 0.05 seconds?

The power transmitted by a belt drive is proportional to the Tension as follows P = Tv-" wv² g Find speed expression at which the power is max, g is gravity, and w is the angular velocity.

A motorcycle and rider have a combined mass of 350kg. The vehicle’s velocity is 100 km/hr. The rider is to go up a hill incline of 10 meters. The wheels each have a mass of 20 kg and a diameter of 500mm. The wheel design consists of 6 spokes with a mass of 0.5 kg for each spoke. 2) Indicate the vehicle’s velocity at each meter through the climb.

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In a modified version of the cart and bucket, the angle of the slope is alpha = 34.9∘ and the bucket weighs 295 N. The cart moves up the incline and the bucket moves downward, both at constant speed. The cable has negligible mass, and there is no friction. What is the weight of the cart?What is the tension in the cable?

Within 15mins

A69 A typical escalator in the London Under- ground rises at an angle of 30° to the horizontal. It lifts people through a vertical height of 15 m in 1.0 minute. Assuming all the passengers stand still whilst on the escalator, 75 people can step on at the bottom and off at the top in each minute. Take the average mass of a passenger to be 75 kg. (a) Find the power needed to lift the passen- gers when the escalator is fully laden. For this calculation assume that any kinetic energy given to the passengers by the escalator is negligible. (b) The frictional force in the escalator system is 1.4 x 10*N when the escalator is fully laden. Calculate the power needed to overcome the friction. Hence find the power input for the motor driving the fully laden escalator, given that the motor is only 70% efficient. (c) When the passengers walk up the moving escalator, is more or less power required by the motor to maintain the escalator at the same speed? Explain your answer. (0 & C, '90]