The figure shows a two-ended “rocket” that is initially stationary on a frictionless floor, with its center at the origin of an x axis. The rocket consists of a central block C (of mass M = 6.10 kg) and blocks L and R (each of mass m = 2.70 kg) on the left and right sides. Small explosions can shoot either of the side blocks away from block C and along the x axis. Here is the sequence: (1) At time t = 0, block L is shot to the left with a speed of 2.60 m/s relative to the velocity that the explosion gives the rest of the rocket. (2) Next, at time t = 0.90 s, block R is shot to the right with a speed of 2.60 m/s relative to the velocity that block C then has (after the second explosion). At t = 3.50 s, what are (a) the velocity of block C (including sign) and (b) the position of its center?
The figure shows a two-ended “rocket” that is initially stationary on a frictionless floor, with its...
The figure shows a two-ended “rocket” that is initially stationary on a frictionless floor, with its center at the origin of an x axis. The rocket consists of a central block C (of mass M = 6.70 kg) and blocks L and R (each of mass m = 1.50 kg) on the left and right sides. Small explosions can shoot either of the side blocks away from block C and along the x axis. Here is the sequence: (1) At time t =...
Two blocks move along a linear path on a nearly frictionless air track. One block, of mass 0.116 kg, initially moves to the right at a speed of 5.20 m/s, while the second block, of mass 0.232 kg, is initially to the left of the first block and moving to the right at 7.30 m/s. Find the final velocities of the blocks, assuming the collision is elastic. Velocity of the .116 kg block to the right: Velocity fo the .232...
Two blocks move along a linear path on a nearly frictionless air track. One block, of mass 0.105 kg, initially moves to the right at a speed of 4.50 m/s, while the second block, of mass 0.210 kg, is initially to the left of the first block and moving to the right at 7.10 m/s. Find the final velocities of the blocks, assuming the collision is elastic. velocity of the 0.105 kg block = velocity of the 0.210 kg block...
A 735-kg two-stage rocket is traveling at a speed of 6.80×103 m/s away from Earth when a predesigned explosion separates the rocket into two sections of equal mass that then move with a speed of 2.60×103 m/s relative to each other along the original line of motion. PHY-1103 Fall 2018 Cole KCh7 HW Problem 7.14 9 of 11> rarL A What is the speed of each section (relative to Earth) after the explosion? onstants A735-kg two-stage rocket is traveling at...
A 975 kg two-stage rocket is traveling at a speed of 5.10×103 m/s with respect to Earth when a pre-designed explosion separates the rocket into two sections of equal mass that then move at a speed of 2.10×103 m/s relative to each other along the original line of motion. What is the speed of each section (relative to Earth) after the explosion? What are the direction of each section (relative to Earth) after the explosion? How much energy was supplied...
A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 85.2 x 105 kg, of which 18.3 x 105 kg is fuel. The rocket engine is then fired for 170 s, during which fuel is consumed at the rate of 360 kg/s. The speed of the exhaust products relative to the rocket is 2.60 km/s. (a) What is the rocket's thrust? After the 170 s firing, what are (b)...
Assume that the three blocks in the figure move on a frictionless surface. In the figure, m 1 = 1.10 kg, m 2 = 2.04 kg, and m 3 = 3.20 kg. The 42.1-N force acts as shown on the right block. Determine (a) the acceleration (m/s 2 ) of the blocks, (b) the tension (N) in the cord connecting the left and right blocks, and (c) the force (N) exerted on the center block by the left block. Hint:...
A block of mass m1 = 1.0 kg initially moving to the right with a speed of 3.2 m/s on a frictionless, horizontal track collides with a spring attached to a second block of mass m2 = 3.4 kg initially moving to the left with a speed of 2.6 m/s as shown in figure (a). The spring constant is 530N/m. (A) Find the velocities of the two blocks after the collision. (B) During the collision, at the instant block 1...
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity v_e (relative to the rocket). A model for the velocity of the rocket at time t is given by the equation v(t) = -gt - v_e ln m - rt/m where g is the acceleration due...