(https://openstaxcollege.org/l/21topfailvideo), two women run at each other and In a "Top Fail" video collide by hitting exercise balls together. If each woman has a mass of 50 kg, which includes the exercise ball, and one woman runs to the right at 2.0 m/s and the other is running toward her at 1.0 m/s, (a) how much total kinetic energy is there in the system?
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![In a "Top Fail" video
(https://openstaxcollege.org/l/21topfailvideo),
two women run at each other and
collide by hitting exercise balls together. If each woman has a mass of 50 kg, which includes the
exercise ball, and one woman runs to the right at 2.0 m/s and the other is running toward her at 1.0
m/s, (a) how much total kinetic energy is there in the system?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe788bec-b828-4758-b360-d0e4483537ab%2F42c2c9d8-73e7-4216-b61a-a509d6ea19a8%2F9nh62nc_processed.png&w=3840&q=75)
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- An 11 kg object is flying at speed 4c/5. Calculate its kinetic energy, in units of kg c2.Two blocks are free to slide along the frictionless wooden track as shown in the figure. The block of mass m1 = 5 kg is released from rest from the position shown, at height h = 5.00 meters above the flat part of the track. At the bottom of the track rests mass m2 = 10 kg. No work is done by non-conservative forces a.What is the speed of block m1 just as it reaches but before it collides with block m2 (use Cons. Of Energy)? b.What is the velocity of m1 just after it collides elastically with m2 (use Conservation of Momentum)? and what is the velocity of m2 just after it collides elastically with m1 (use Conservation of Momentum)? c. How far back up the ramp does m1 rise after the collision (use Cons. Of Energy?) and also find that if an 7 kg block, m3, that lies to the right of m2, is moving toward m2 (after m2’s collision with m1) at a speed of 26.8 mph (conversion!), what is the velocity of the m2/m3 couple after they collide in a perfectly inelastic collision…A 4 kg particle has an initial velocity of (6i–3j) m/s. Some time later, its velocity changes to (8i+3j) m/s. What work (in J) was done by the resultant force during this time interval?
- Karen and Randy are playing with a toy car and track. They set up the track on the floor as shown in the figure below, where the apparatus on the far left is used to launch the car forward by pressing down on the top portion. After the car is launched, it follows the track and continues upward, leaving the track. If the car has a mass of 127 g and it reaches a maximum vertical height of 2.90 m above the floor, what was the speed of the car while it was moving along the floor? Ignore the effects of friction and air resistance. m/sA shooting star is a meteoroid that burns up when it reaches Earth’s atmosphere. Many of these meteoroids are quite small. Compare the kinetic energy of a shooting star to that of a moving car. (a) What is the kinetic energy of a meteoroid of mass 4.84 g moving at a speed of 49.2 km/s? (b) What is the kinetic energy of a 1054-kg car moving at 28.9 m/s (64.6 mi/h)?calculate the train's final speed and energy lost with these numbers. A train car hits a three-car train; together, it becomes a four-car train. The mass of each train car is 40*103 kg. The initial speed of the single car is 3.3 m/s. The initial speed of the three-car train is 1.8 m/s.
- Releasing some frustration at the end of the semester, you throw your physics book (mass of 4.3 kg) off of a 24 m tall building. You throw your book so that it has a speed of 3 m/s right after you let go. What is the kinetic energy of your book after you let go? (in J) 12.9 1.01×103 206 0 19.4 How how fast is your textbook moving right before it lands? For now, ignore friction. (in m/s) 21.9 17.5 24.7 21.5 If friction is NOT negligible, and 350 J of the textbook's energy is converted to thermal energy as it falls, how fast is it moving just before it lands? (in m/s) 17.8 17.5 12.8 25.3 25.0A person with a mass of 82 kg is about to ride a roller coaster. Initially the person is located at a vertical position y= 1.3 m above the ground and is at rest. 23 seconds later the person is located 3.42 m above the ground and is traveling at 15.5 m/s at an angle of 64.8º below horizontal. How much total work was done on the person during the 23 second time intervalA man of mass 79.5 kg walks down the aisle of an airplane at a speed of 1.50 m/s in the forward direction while the plane moves at a speed of 325 m/s relative to the earth. (a) Find the man's kinetic energy relative to the plane.(b) Find the man's kinetic energy relative to the earth.
- A rocket is attached to the back of a train engine which pushes the engine along a curvy track with an applied force of 1,000 Newtons. The engine has a mass of 500 kg. The total length of track is 800 meters. Starting from rest, what will be the train's speed at the end of the track? (You must use energy methods for credit on this problem not kinematics.)An archer shoots an arrow of mass 0.0204 kg using a crossbow. If the archer aims the crossbow horizontally and the arrow leaves the crossbow at a speed of 15.6 m/sm/s, how much work would the crossbow have done to accelerate the arrow to said speed? (Assume air resistance can be neglected.)The tree topper is accidentally knocked off of a Christmas tree giving it an initial speed of 15 m/s. The tree topper ornament has a mass of 0.14 kg and was initially at a height of 2.2 m above the ground and as it falls it bumps into the leaves and the branches of the tree. If the work done by friction of the leaves on the ornament is 3.6 J, what is the speed of the ornament right as it hits the floor?