Jeff and Zak have worked out a stunt-show performance involving hovercrafts on a collision course. Just before the collision, Jeff and Zak will safely leap out of the hovercrafts, but they still have a little physics to work out. The two hovercrafts, each with a mass of 925 kg, are hovering at a constant height above the ground and are traveling toward each other as shown in the figure. The first hovercraft is traveling at v1 = 14.0 m/s to the right, and the second is traveling at v2 = 23.0 m/s to the left. (Let the positive x direction point to the right.) V1 V2 (a) If the hovercrafts undergo a completely inelastic collision, what is their final velocity after the collision? (Enter your answer to at least one decimal. Express your answer in vector form.) Vf = m/s (b) How much kinetic energy is lost in the collision?

Jeff and Zak have worked out a stunt-show performance involving hovercrafts on a collision course. Just before the collision, Jeff and Zak will safely leap out of the hovercrafts, but they still have a little physics to work out. The two hovercrafts, each with a mass of 925 kg, are hovering at a constant height above the ground and are traveling toward each other as shown in the figure. The first hovercraft is traveling at v1 = 14.0 m/s to the right, and the second is traveling at v2 = 23.0 m/s to the left. (Let the positive x direction point to the right.) V1 V2 (a) If the hovercrafts undergo a completely inelastic collision, what is their final velocity after the collision? (Enter your answer to at least one decimal. Express your answer in vector form.) Vf = m/s (b) How much kinetic energy is lost in the collision?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 18PQ: Two metersticks are connected at their ends as shown in Figure P10.18. The center of mass of each...

See similar textbooks

Similar questions

How much fuel would be needed for a 1000-kg rocket (this is its mass with no fuel) to take off from Earth and reach 1000 m/s in 30 s? The exhaust speed is 1000 m/s.
Two metersticks are connected at their ends as shown in Figure P10.18. The center of mass of each individual meterstick is at its midpoint, and the mass of each meterstick is m. a. Where is the center of mass of the two-stick system as depicted in the figure, with the origin located at the intersection of the sticks? b. Can the two-stick system be balanced on the end of your finger so that it remains lying flat in front of you in the orientation shown? Why or why not? FIGURE P10.18 (a) The center of mass of the stick on the x axis would be at (0.5 m, 0), and the center of mass of the stick on the stick on the y axis be at (0, 0.5 m), assuming the sticks are uniform. We can then use Equation 10.3 to find the x and y coordinates of the center of mass. xCM=1Mj=1nmjxj=12m[m(0.50m)]=0.25myCM=1Mj=1nmjyj=12m[m(0.50m)]=0.25m The location of the center of mass is (0.25m,0.25m) (b) No. The location of the center of mass is not located on the object, so your finger would not be in contact with the object. In a different orientation, balancing by applying a force at the center of mass might be possible, but not in the orientation shown.
A 10-m-long glider with a mass of 680 kg (including the passengers) is gliding horizontally through the air at 20 m/s when a 60 kg skydiver drops out by releasing his grip on the glider. What is the glider's speed just after the skydiver lets go?
A rocket has a total mass of 1.01 105 kg and a burnout mass of 1.14 104 kg, including engines, shell and payload. The rocket blasts off from Earth and exhausts all its fuel in 4.31 min, burning the fuel at a steady rate with an exhaust velocity of ve= 4.66 103 m/s. (a) If air friction and gravity are neglected, what is the speed of the rocket at burnout? m/s(b) What thrust does the engine develop at liftoff? N(c) What is the initial acceleration of the rocket if gravity is not neglected? m/s2(d) Estimate the speed at burnout if gravity isn't neglected. m/s
The Zacchini family was renowned for their human- cannonball act in which a family member was shot from a cannon using either elastic bands or compressed air. In one version of the act, Emanuel Zacchini was shot over three Ferris wheels to land in a net at the same height as the open end of the cannon and at a range of 69 m. He was propelled inside the barrel for 5.2 m and launched at an angle of 53. If his mass was 85 kg and he underwent constant acceleration inside the barrel, what was the magnitude of the force propelling him? (Hint: Treat the launch as though it were along a ramp at 53. Neglect air drag.)
The man's mass is 68 kg, and the canoe's is 129 kg. The man and canoe are initially at rest when the man throws a package of mass m = 15 kg horizontally to the right with a speed of vi = 4.6 m/s. What is the velocity of the canoe after the package is thrown? Neglect any resistance force from the water. (Give the magnitude in m/s, and select the correct direction from the options given.)
. The fisherman's mass is 79 kg, and the boat's is 126 kg. The fisherman and boat are initially at rest when the fisherman throws a package of mass m = 15 kg horizontally to the right with a speed of vi = 4.9 m/s. What is the velocity of the boat after the package is thrown? Neglect any resistance force from the water. (Give the magnitude in m/s, and select the correct direction from the options given.) What is the direction of the boat?
A small block of mass m 1 = 0.500 kg is released from rest atthe top of a curved wedge of mass m 2 =3.00 kg, which sits ona frictionless horizontal surface as in Figure P6.73a. When theblock leaves the wedge, its velocity is measured to be 4.00 m/sto the right, as in Figure P6.73b. (a) What is the velocity ofthe wedge after the block reaches the horizontal surface? (b)What is the height h of the wedge?
Holding a slingshot at arm's length, he pulls the light elastic band back to his chin and releases it to launch a stone horizontally with a speed of 200 cm/s. Using the same procedure, a bean is thrown with a speed of 600 cm/s. What is the ratio of the mass of the bean to the mass of the stone? a. 1/3 b. 3 c. 9 d. 1/9 e. 1
A 48.3 kg student runs down the sidewalk andjumps with a horizontal speed of 4.34 m/sonto a stationary skateboard. The studentand skateboard move down the sidewalk witha speed of 4.07 m/s. a) Find the mass of the skateboard.Answer in units of kg. I got 3.204177 kg b) How fast would the student have to jumpto have a final speed of 5.27 m/s?Answer in units of m/s. I'm getting 5.6196 m/s, but my online homework is prompting me with an incorrect guess. My work is shown in the picture.
Emma and Katie are racing along in their new wagon. Upon reaching the bottom of the hill traveling at 13.2 m/s, Katie notices her teddy bear 12.0 m in front of them, panics and locks the brakes sending the wagon into a skid. If the wagon and its contents have a total mass of 1.50 x101 kg, and the coefficient of kinetic friction between the road and the rubber wagon tires is (0.75), by how much does the wagon miss the bear?
Spectators watch a bicycle stunt rider travel off the end of a 57.5° ramp, rise to the top of her trajectory and, at that instant, suddenly push her bike horizontally away from her so that she falls vertically straight down, reaching the ground 0.525 s later. How far (in m) from the rider does the bicycle land if the rider has a mass mrider = 58.4 kg and the bike has a mass mbike = 14.5 kg? Neglect air resistance and assume the ground is level. ?m