A rocket is fired in a gravity-free environment in deep space. The rocket has an initial mass of 9000 kg and ejects gas with a velocity of 2375 m/s. The rocket fires for 2.00 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  kg

Q: 4. Batman with mass 90 kg jumps straight down from a building to a moving car to chase The Joker.…

A: Given : m1 = 90 kg v1i = 0 (because initially Batman hits the car) m2 = 500 kg v2i = 15 m/s

Q: Two manned satellites approaching one another at a relative speed of 0.100 m/s intend to dock. The…

A: According to momentum conservation law, sum of initial velocities of satellite before collision will…

Q: Problem 1 ( 3) Consider two objects of masses m₁= 9.004 kg and m2 = 3.703 kg. The first mass (m₁) is…

A: Given:  mass m1 = 9.004 Kg                 mass m2 = 3.703 Kg                      velocity of first…

Q: A 8.2-kg projectile is fired with a speed of + 260 m/s to the right. With what velocity does the…

A:

Q: Two manned satellites approaching one another at a relative speed of 0.350 m/s intend to dock. The…

A: Consider the mass of the first satellite be m1, the initial speed of the first satellite be u1, the…

Q: Two asteroids collide and stick together. The first asteroid has mass of 1.38x104 kg and is…

A:

Q: Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The…

A: If we take the second satellite to be initially at rest, then the velocity of first satellite in the…

Q: Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. The…

A: Let m1 and m2 be the mass of first and second satellite respectively.Assuming the initial velocity…

Q: Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The…

A: Since the reference frame in which the second satellite is at rest is chosen, the initial velocity…

Q: A marksman holds a rifle of mass mR = 3.00 kg loosely in his hands, so as to let it recoil freely…

A:

Q: A system of four particles moves along one dimension. The center of mass of the system is at rest,…

A: Given:                   Required: The velocity of the particle 4 at time t = 2.83 sec as all the…

Q: A particle with a mass of 1.55 kg is acted on by a force Fx acting in the x-direction. If the…

A:

Q: The 50-g bullet traveling at 600 m/s strikes the 4-kg block centrally and is embedded within it. If…

A: Apply the momentum conservation equation in the x-axis. Here, m1, u1, m2, u2 and v2 represent the…

Q: During hockey practice, two pucks are sliding across the ice in the same direction. At one instant,…

A: mass of  first puck = m1= 0.18 kg mass of  second puck = m2= 0.14 kg initial velocity of puck 1 =…

Q: Two asteroids collide and stick together. The first asteroid has mass of 1.44×10ª kg and is…

A: Mass of asteroid A = 14400 kg Initial velocity of A (u1) = 750 m/s Mass of asteroid B = 18400 kg…

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

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Q: A particle with a mass of 2.80 kg is acted on by a force F, acting in the x-direction. If the…

A: a. the area under Ft graph is equal to the impulse. Then

Q: 3. A bullet of mass m = 6.00 g is fired with an initial velocity of 600 m/s into a block of mass M =…

A:

Q: A hiker of mass 65 kg is standing on a stationary raft of mass 35 kg. He is carrying a 19-kg…

A: Given a hiker of mass 65 kg is standing on a stationary raft of mass 35 kg. He is carrying a 19-kg…

Q: The mass of a particle is 2 kg and its velocity is given by V1 = 2i-10tj m / s, with time in t s.…

A:

Q: Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The…

A:

Q: A system of four particles moves along one dimension. The center of mass of the system is at rest,…

A:

Q: Two carts of mass 0.65 kg and 1.50 kg are moving on a level air track with velocities -1.60 m/s and…

A: Given, mass of the cart, m1 = 0.65 kgm2 = 1.50 kgv1 = -1.60 msv2 = +0.85 ms

Q: Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. The…

A: Solution:The final relative velocity can be calculated using following steps:Given:

Q: A 0.031 kg bullet is fired vertically at 238 m/s into a 0.15 kg baseball that is initially at rest.…

A: Given Mass of the bullet m1 = 0.031 kg Mass of the ball m2 = 0.15 kg Initial velocity of the bullet…

Q: A car of mass 1760 kg is speeding up on level ground. Its position as a function of time is:  where…

A:

Q: A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has…

A: Given Data  Mass of the rocket is mr=56.7×105 kg Mass of the fuel is mf=12.9×105 kg The rocket…

Q: A mother rocket which is fired from the ground last New Year’s Eve ejects two percent of its mass at…

A:

Q: Two manned satellites approaching one another at a relative speed of 0.400 m/s intend to dock. The…

A:

Q: A 48.8 kg archer, standing on frictionless ice, shoots a 116 g arrow at a speed of 96.88 m/s. What…

A: Given data:  Initially system is in rest Mass of atcher(m1 ) = 48.8 kg Mass of arrow (m2) = 116 g =…

Q: Two ice skaters suddenly push off against one another starting from a stationary position. The 45-kg…

A: Given:            mass m1 = 45kg            mass m2 = 60kg               v1         = 0.375m/s…

Q: A rocket that is in deep space and initially at rest relative to an inertial reference frame has a…

A:

Q: Problem 1 ( 3) Consider two objects of masses m₁= 9.004 kg and m₂ = 3.703 kg. The first mass (m₂) is…

A: a)V1i = <0,49,72/3.6,0>    V1i =<0,15.09,0>m/s b) v2i=<0,0,0>m/s c) Pi = pf…

Q: Two manned satellites approaching one another at a relative speed of 0.450 m/s intend to dock. The…

A: Assume that, the reference frame in which the second satellite is initially at rest, and the…

Q: A two-stage rocket moves in space at a constant velocity of + 4310 m/s. The two stages are then…

A:

Q: CI A rifle has a mass of 4.75 kg and it fires a bullet of mass 10.0 g at a muzzle speed of 845 m/s.…

A: Given data: Mass of rifle (m1) = 4.75 kg Mass if bullet (m2) = 10.0 g = 0.0100 kg Velocity of bullet…

Q: Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The…

A:

Q: A system of four particles moves along one dimension. The center of mass of the system is at rest,…

A:

Q: A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has…

A: Given: Total Mrocket+fuel = 86.2× 105 kg Fuel consumption rate= 480 kg/s Speed of exhaust relative…

Q: Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. The…

A: Law of conservation of momentum is,

Q: A two-stage rocket moves in space at a constant velocity of +4570 m/s. The two stages are then…

A: Given data:  The initial velocity of rocket (vi) = +4570 m/s The mass of upper stage (m1) = 1060 kg…

Q: The engine of a model rocket is rated with a total impulse of 5.50 N·s and a thrust duration of 1.10…

A: Given data The magnitude of the total impulse is I = 5.50 N.s The duration of the thrust is t = 1.10…

Q: A system of four particles moves along one dimension. The center of mass of the system is at rest,…

A:

Q: A model rocket is shot straight up and explodes at the top of its trajectory into three pieces as…

A: According to the law of conservation of momentum along the vertical direction,…