A rocket weighs 2600 lb, including 2200 lb of fuel, which is consumed at the rate of 25 lb/s and ejected with a relative velocity of 13,000 ft/s. Knowing that the rocket is fired vertically from the ground, determine (a) its acceleration as it is fired, (b) its acceleration as the last particle of fuel is being consumed, (c) the altitude at which all the fuel has been consumed, (d) the velocity of the rocket at that time.

Q: A 625-g basketball and a 58.5-g tennis ball are dropped from a height of d = 1.5 m onto the floor.…

A:

Q: 55 h В C

A: Newton's equations of motion can be written as, v=u+ats=ut+12at2v2=u2+2as Here, v is the final…

Q: Two swimmers A and B , of weight 190 lb and 125 lb, respectively, are at diagonally opposite corners…

A: Given data: Weight of the swimmer A , WA = 190 lb. Weight of the swimmer B , WB = 125 lb. Weight of…

Q: The final component of a conveyor system receives sand at a rate of 100 kg/s at A and discharges it…

A: Given Mass flow rate = 100 kg/s UA = UB =4.5 m/s W = 4kN To find Reaction at C and D

Q: A toy car is propelled by water that squirts from an internal tank. The weight of the empty car is…

A: Given data

Q: The weight of a spacecraft, including fuel, is 11,600 lb when the rocket engines are fired to…

A: Given Weight of the space craft = 11600 lb Velocity increase = 360 ft/s Consumed fuel = 1000 lb To…

Q: A 300-kg space vehicle traveling with a velocity v0 = (360 m/s)ipasses through the origin O at t =…

A: conserving linear momentum in the x-direction linear momentum before explosion = linear explosion…

Q: In order to shorten the distance required for landing, a jet airplane is equipped with movable vanes…

A: Given data

Q: Car A was traveling west at a speed of 15 m/s and car B was traveling north at an unknown speed when…

A:

Q: Determine the altitude reached by the spacecraft of Prob. 14.95 when all the fuel of its launching…

A: Total mass is written as, The rate of fuel consumption is given as, The time is taken by rocket to…

Q: An 18-kg cannonball and a 12-kg cannonball are chained together and fired horizontally with a…

A: Given data

Q: A 10-kg block is attached to spring A and connected to spring B by a cord and pulley. The block is…

A: Given data

Q: Knowing that the velocity of an experimental space probe fired from the earth has a magnitude VA =…

A: Given Data: The height at point A is hA = 4300 km. The height at point b is hB = 12700 km. The…

Q: A baseball pitching machine “throws” baseballs with a horizontal velocity v0. Knowing that height h…

A: (a) The vertical motion of the balls: yo = 1.5 m, (vy)o = 0. At point B, y = h, When h = 788 mm =…

Q: A 1-kg block B is moving with a velocity v0 of magnitude v0 = 2 m/s as it hits the 0.5-kg sphere A ,…

A: Given data: Mass of block B is mB = 1 kg. Velocity of block B is v0 = 2 m/s. Mass of sphere is mA =…

Q: kg m 2s, determine (a) the velocities of the particles, (b) the angular momentum of the system…

A: Sdghh

Q: Two blocks A and b , of mass 4 kg and 5 kg, respectively, are connected by a cord that passes over…

A: Draw the schematic diagram for the above problem statement. At position 1 to position 2,

Q: Packages in an automobile parts supply house are transported to the loading dock by pushing them…

A: Given: The coefficient of restitution is e=0.3. The velocity of A is vA = 2 m/s. The mass of A is…

Q: The nozzle shown discharges water at the rate of 200 gal/min. Knowing that at both B and C the…

A: Given data: Discharge (Q)   = 200 gal/min. Velocity (v)       = 100 ft./s Determine the force-couple…

Q: An airline employee tosses two suitcases with weights of 30 lb and 40 lb, respectively, onto a 50-lb…

A: Given data as per the question weight of baggage carrier =50 lb weight of suitcases =30 lb and 40 lb…

Q: Coal is being discharged from a first conveyor belt at the rate of 120 kg/s. It is received at A by…

A: Given data: The rate of coal discharge, dmdt=120 kg/s The velocity of discharge at A and B is v1 = 3…

Q: A railroad car with length L and mass m0 when empty is moving freely on a horizontal track while…

A: Consider the diagram shown below for the railroad showing the initial and final conditions.

Q: A golfer hits a golf ball with an initial velocity of 120 ft/s at an angle of 25 degrees with…

A: given DataInitial velocity (u) = 120 ft/sangle (θ) = 25°fairway slope downward =5°

Q: It takes 15s to raise a 1200-kg car and the supporting 300-kg hydraulic car-lift platform to a…

A: To find (a) The average mechanical power required P. (b) The average electrical power required P'.…

Q: In a game of pool, ball A is moving with the velocity v0 = v0i when it strikes balls B and C , which…

A: Consider Case (i) where body A strikes body B and C simultaneously: As we know that there are no…

Q: The rocket engines of a spacecraft are fired to increase its velocity by 450 ft/s. Knowing that 1200…

A:

Q: The rocket used to launch the 540-kg spacecraft of Prob. 14.95 is redesigned to include two stages A…

A: Given: mass of the space craft= 540 kg the space crafts includes two stages of masses  mA=mB=9.5 Mg…

Q: A 1-lb collar is attached to a spring and slides without friction along a circular rod in a vertical…

A:

Q: A stone is thrown vertically upward from a point on a bridge located 44.5 m above the water. Knowing…

A:

Q: Conservation of Linear Momentum for a System of Particles Two spheres A and B (of mass m each) were…

A: Given:Before collisionVB=17 m/sVA=0 m/s   as it reaches it's summitBy projectile motion of…

Q: A 10-kg package drops from a chute into a 25-kg cart with a velocity of 3 m/s. Knowing that the cart…

A: (a) To find: The velocity of the cart. Given: The mass of packages is mp=10 kg. The mass of cart is…

Q: A stream of water flowing at a rate of 1.2 m3/min and moving with a speed of 30 m/s at both A and B…

A: Given data Q=1.2 m3/minV=30 m/sm=20 kg

Q: A bullet is fired with a horizontal velocity of 1500 ft/s through a 6-lb block A and becomes…

A:

Q: Show that the speeds of a projectile are the same at any two points in its path which are at the…

A: The horizontal velocity of a projectile is constant (a never changing in value), There is a…

Q: It takes 15 s to raise a 1200-kg car and the supporting 300-kg hydraulic car-lift platform to a…

A: Given:Mass of the car, mc=1200 kgMass of the lift, mL=300 kgLift Height, s=2.8 mTime taken, t=15 sec

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.