I Review | Constants Far in space, where gravity is negligible, a 435 kg rocket traveling at 55.0 m/s fires its engines. The figure (Figure 1) shows the thrust force as a function of time. The mass lost by the rocket during these 30 s is negligible. What impulse does the engine impart to the rocket? Express your answer in newton-seconds as an integer. > View Available Hint(s) ν ΑΣφ ? Figure 1 of 1 N.s F, (N) Submit 1000 - Part B At what time does the rocket reach its maximum speed? (s) 1- 30 Express your answer to three significant figures and include the appropriate units. 10 20 > View Available Hint(s)

I Review | Constants Far in space, where gravity is negligible, a 435 kg rocket traveling at 55.0 m/s fires its engines. The figure (Figure 1) shows the thrust force as a function of time. The mass lost by the rocket during these 30 s is negligible. What impulse does the engine impart to the rocket? Express your answer in newton-seconds as an integer. > View Available Hint(s) ν ΑΣφ ? Figure 1 of 1 N.s F, (N) Submit 1000 - Part B At what time does the rocket reach its maximum speed? (s) 1- 30 Express your answer to three significant figures and include the appropriate units. 10 20 > View Available Hint(s)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter6: Momentum, Impulse, And Collisions

Section: Chapter Questions

Problem 10CQ: Two cans move in the same direction along a frictionless air track, each acted on by the same...

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Professional Application Two manned satellites approaching one another, at a relative speed of 0.250 m/s, intending to dock. The first has a mass of 4.00103 kg, and the second a mass of 7.50103 kg (a) Calculate the final velocity (after docking) by using the frame of reference in which the first satellite was originally at rest. (b) What is the loss of kinetic energy in this inelastic collision? (c) Repeat both parts by using the frame of reference in which the second satellite was originally at rest. Explain why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both.
In Section 1.4, we considered the collision of a karate expert’s hand with a concrete block. Based on the graphs in Figure 1.31, the initial downward speed of the fist with mass 0.75 kg is about -13 m/s and the collision time is approximately 25 ms. Find the impulse and the average force exerted on the block by the fist during the collision.
Professional Application Suppose a child drives a bumper car head on into the side rail, which exerts a force of 4000 N on the car for 0.200 s. (a) What impulse is imparted by this force? (b) Find the final velocity of the bumper car if its initial velocity was 2.80 m/s and the car plus driver have a mass of 200 kg. You may neglect friction between the car and floor.
Is it possible for a small force to produce a larger impulse on a given object than a large force? Explain.
A rocket in deep space (zero gravity) accelerates by firing hot gas out of its thrusters. Does the rocket constitute a closed system? Explain.
Two cans move in the same direction along a frictionless air track, each acted on by the same constant force for a time interval t. Cart 2 has twice the mass of cart 1. Which one of the following statements is true? (a) Each cart has the same change in momentum. (b) Cart 1 has the greater change in momentum. (c) Cart 2 has the greater change in momentum. (d) The changes in momenta depend on the initial velocities.
Must the total energy of a system be conserved whenever its momentum is conserved? Explain why or why not.
Can objects in a system have momentum while the momentum of the system is zero? Explain your answer.
Two identical pucks collide on an air hockey table. One puck was originally at rest. (a) If the incoming puck has a speed of 6.00 m/s and scatters to an angle of 30.0°,what is the velocity (magnitude and direction) of the second puck? (You may use the result that 12=90 for elastic collisions of objects that have identical masses.) (b) Confirm that the collision is elastic.
Two blocks collide on a frictionless surface. After the collision, the blocks stick together. Block A has a mass M and is initially moving to the right at speed v. Block B has a mass 2M and is initially at rest. System C is composed of both blocks, (a) Draw a force diagram for each block at an instant during the collision, (b) Rank the magnitudes of the horizontal forces in your diagram. Explain your reasoning, (c) Calculate the change in momentum of block A, block B, and system C. (d) Is kinetic energy conserved in this collision? Explain your answer. (This problem is courtesy of Edward F. Redish. For more such problems, visit http://www.physics.umd.edu/perg.)
Starting with equations m1v1=m1v1cos1+m2v2cos2 and 0=m1v1cos1+m2v2sin2 for conservation of momentum in the x- and y -directions and assuming that one object is originally stationary, prove that for an elastic collision of two objects of equal masses, 12mv12=12mv22+mv1v2cos(12) as discussed in the text.
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