Chapter 14, Problem 50P

The rocket shown is designed to test the operation of a new guidance system. When it has reached a certain altitude beyond the effective influence of the earth's atmosphere, its mass has decreased to 2.49 Mg, and its trajectory is 0= 34° from the vertical. Rocket fuel is being consumed at the rate of 130 kg/s with an exhaust velocity of 625 m/s relative to the nozzle. Gravitational acceleration is 9.54 m/s² at its altitude. Calculate the n- and t-components of the acceleration of the rocket. Answers: an= Vert. 18 at = M 1 Da - Horiz- m/s² m/s²

thrust can be approximated by the expression T = An aircraft of mass 240,000kg is powered by a jet engine whereby the horizontal 198 +2t², where T is the thrust in kN and t is the time in seconds. If the aircraft has an initial horizontal velocity of 120ms ¹, determine the new horizontal velocity after 12s.

How to apply energy equation here . please include diagram. Don't use Artificial intelligence tools.

In 50 seconds, a 3.2-ton vehicle can reach 140 mph from rest. Exclude friction losses while calculating the engine's output.

The packaging and distribution system in a factory consists of a spring and conveyor belt. As shown in the figure, the boxes are dropped on the spring and pushed onto the conveyor belt. The boxes are initially located h on the uncompressed spring. When released, boxes of mass m each compress the spring by ΔL. In the spring, the entire potential energy of the box is transformed into elastic energy. For m = 5 kg, spring constant k = 262 N / m, h = 0.85 m and gravitational acceleration g = 9.81 m / s², calculate ΔL as [m].

A 1500-kg vehicle travelling at 60 km/h collides head-on with a 1000 kg vehicle travelling at 90 km/h. If they come to rest immediately after impact, determine the increase in internal energy, taking both vehicles as the system. Interpret it by drawing the diagram or figure.

Designing an energy attenuation system that controls the 1200 kg car traveling at 100 km/hr at impact. Compare to design an energy attenuation system that controls the energy of a car at a fast speed.

Packages having a mass of 4-kg are delivered from a conveyor to a ramp with a velocity of v = 0.8 m/s. What is the velocity in which the packages will leave the ramp (at point B)? Consider e =30° andh = 12 m. The coefficient of the kinetic friction between the package and the ramp is = 0.35 Note. Please write your final answer in m/s in the provided box. Report your answer in 2 decimal places. For example: 2.34 m/s 0.8 m/s

Q8. The 0.8-kg ball is connected to a rigid rod with negligible mass. It is released from rest at the position shown in the image below and later the rod becomes vertical. The spring is initially unstretched and has a spring constant k = 4.8 N/m. The dimensions are a = 0.7 m and b = 0.8 m. If at the initial state the total potential energy of the ball is O, determine the total potential energy of the ball when the rod becomes vertical. Negative sign must be included if the energy is negative. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper Sl unit. Take g = 9.81 m/s². b b→ b→ Your Answer: Answer units