A rocket is fired in a gravity-free environment in deep space. The rocket has an initial mass of 9500 kg and ejects gas with a velocity of 2450 m/s. The rocket fires for 4.40 s. Calculate the mass (in kg) of the gas that must be ejected in the time given to give the rocket an acceleration of 49.50 m/s2

Q: A 70.0-g bullet moving at a 345.0 m/s passes through a 5.30 cm thick sheet of foam plastic and…

A: Given,  Mass of bullet = 70g Initial speed = 345 m/s Final speed = 80m/s Thickness of sheet = 5.3cm…

Q: What is the acceleration of a 5000-kg rocket taking off from the Moon, where the acceleration due to…

A: It is given that, m=5000 kgg=1.6 m/s2ve=2.20×103 m/sΔm=8 kgΔt=1 sec

Q: A 6.483E+3-kg truck moving east at 15.8 m/s collides with a 1.298E+3-kg car moving west at 28.6 m/s.…

A:

Q: Two objects are on a collision course. Object #1 has a mass of 10.0 kg and an initial velocity of…

A:

Q: wo objects are on a collision course. Object #1 has a mass of 13.9 kg and an initial velocity of…

A:

Q: An object of mass 3.08 kg, moving with an initial velocity of 5.04î m/s, collides with and sticks to…

A: Given Data m1 = 3.08 kgv1→ = 5.04 i^ m/sm2 = 2.35 kgv2→ = -3.35 j^ m/sThere is no external force on…

Q: A new design of Saturn 13 rocket with mass 1.87 x106 kg has a propulsion engine that can eject gases…

A: Given: The mass of the rocket is mr=1.87×106 kg The speed of the ejected gas is u=358.23 m/s The…

Q: A 45.4-kg girl is standing on a 143-kg plank. Both originally at rest on a frozen lake that…

A:

Q: A new design of Saturn 13 rocket with mass 1.59 x106 kg has a propulsion engine that can eject gases…

A: SOlution: as given that mass of rocket mr = 1.59 x106 kg mass of fuel mf = 43.53  x10 6  kg gas…

Q: An astronaut of mass 180 kg including his suit and jet pack wants to acquire a velocity of 1.8 m/s…

A: Mass, M = 180 kgSpeed of jetpack, V= 1.8 m/sSpeed of gas, v = 61 m/sMass of gas, m = ?

Q: A 2.0-g BB is shot into a 400-g wooden block.  The BB travels horizontally and  the block rests on a…

A:

Q: (COLLAB) A new design of Saturn 14 rocket with mass 1.47 x106 kg has a propulsion engine that can…

A:

Q: An object of mass 3.00 kg, moving with an initial velocity of 4.97 i m/s, collides with and sticks…

A:

Q: A .150kg baseball is thrown directly upwards with a velocity of 20.0m/s. 1.00 second later an 8.00g…

A: Given:-  The mass of the baseball is M = 150 kg  The mass of the bullet is m = 8.0 g  The bullet…

Q: (COLLAB) A new design of Saturn 16 rocket with mass 1.34 x106 kg has a propulsion engine that can…

A:

Q: A 0.032-kg bullet is fired vertically at 230 m/s into a 0.15-kg baseball that is initially at rest.…

A: Solution: Given that mass of bullet, m = 0.032-kg  mass of basket ball, M = 0.15 kg v of bullet =…

Q: An object of mass 3.04 kg, moving with an initial velocity of 5.09 i m/s, collides with and sticks…

A: Please follow the steps below.Explanation:

Q: (COLLAB) A new design of Saturn 10 rocket with mass 1.85 x106 kg has a propulsion engine that can…

A: For a body to overcome the gravitational pull of the earth, it must have an escape velocity of at…

Q: For a system of three particles moving along a line, an observer in a laboratory measures the…

A: The objective of the question is to find the velocity of the center of mass (CM) of a system of…

Q: A 3.039E+3-kg truck moving east at 10.4 m/s collides with a 1.808E+3-kg car moving west at 55.0 m/s.…

A: Given: Mass of truck, M=3.039×103-kg moving east at speed  U = 10.4 m/s  Mass of car, m=1.808×103-kg…

Q: A 44.4-kg girl is standing on a 143-kg plank. Both originally at rest on a frozen lake that…

A:

Q: A two-stage rocket moves in space at a constant velocity of +4130 m/s. The two stages are then…

A:

Q: A 7990 kg space probe, moving nose-first toward Jupiter at 97.4 m/s relative to the Sun, fires its…

A: Given, Mass of space probe, M =   Velocity of space probe, Mass of ejected gas, m =   Velocity of…

Q: An object of mass 3.07 kg, moving with an initial velocity of 5.03 î m/s, collides with and sticks…

A: Given Mass of the two objects are m1=3.07kg and m2=2.39 kg Initial velocity of the objects are…

Q: A 61.1 g object (object 1) moving in the positive direction at 23.5 cm/s, makes a head-on elastic…

A:

Q: An object of mass 2.91 kg, moving with an initial velocity of 4.97 î m/s, collides with and sticks…

A: Given: The mass of first object is m1=2.91 kg. The mass of second object is m2=2.63 kg. The…

Q: A football field is covered with frictionless ice. A 90.0 kg player is skating down the field with a…

A:

Q: A new design of Saturn 10 rocket with mass 1.85 x106 kg has a propulsion engine that can eject gases…

A: For a body to overcome the gravitational pull of the earth, it must have an escape velocity of at…

Q: A new design of Saturn 14 rocket with mass 1.21 x106 kg has a propulsion engine that can eject gases…

A:

Q: Vo = 5 m/s A B 50° 40° Vc -6° VB = 2.8 m/s VA

A:

Q: One billiard ball is shot east at 2.5 m/s. A second, identical billiard ball is shot west at 1.2 m/s…

A:

Q: A 20.0 g ball of clay travelling west at 6.00 m/s collides with a 40.0 g ball of clay travelling…

A: Given data: The speed of m1=20 g ball is u1=6 m/s. The speed of m2=40 g ball is u2=8 m/s.

Q: How fast is the 1900-kg second stage traveling after separation?

A: Given: A two-stage rocket. Before separation of stages, rocket's velocity is u=4300 m/s Mass of…

Q: Train cars are coupled together by being bumped into one another. Suppose two loaded train cars are…

A:

Q: COLLAB) A new design of Satun 18 rocket with mass 1.08 x10° kg has a propulsion engine that can…

A: Calculate the initial mass of the rocket. M0=MR+MF=1.08×106 kg+43.17×106 kg=44.25×106 kg   Here, M0…

Q: A block of wood, with mass 1.50 kg, rests stationary on horizontal ground. The coefficient of…

A:

Q: On a frictionless horizontal air table, puck A (with mass 0.254 kg ) is moving toward puck B (with…

A: Momentum conservation is a fundamental principle in physics that states that the total momentum of a…

Q: A new design of Saturn 16 rocket with mass 1.03 x106 kg has a propulsion engine that can eject gases…

A: We know the for the instantaneous mass of rocket m -udmdt=mdvdt Integrating the above equation on…

Q: An astronaut in his space suit and with a propulsion unit (empty of its gas propellant) strapped to…

A: Mass of astronaut + partially empty unit = 165 kgMass of astronaut (+ empty unit) = 146 kgMass of…

Q: A soccer ball of 4.40925 (2 kilosg) pounds moves to the right a speed of 0.5 m/s.  Hits a 0.1102311…

A:

Q: What is the acceleration of a 5000-kg rocket taking off from the Moon, where the acceleration due to…

A: Impulse-momentum relation is,

Q: An object of mass 2.92 kg, moving with an initial velocity of 5.05 î m/s, collides with and sticks…

A: Given data The mass of the object 1 is mass m1 = 2.92 kg. The initial velocity of the object 1 is…

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows: