You (70kg) are running westward at a speed of 10m/s has a head-on collision with your crush (45kg) who is walking towards east at 4m/s. If the two of you are locked together after collision, what is your final velocity
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- You (70kg) are running westward at a speed of 10m/s has a head-on collision with your crush (45kg) who is walking towards east at 4m/s. If the two of you are locked together after collision, what is your final velocity?
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- February 3, 2009, was a very snowy day along Interstate 69 just outside of Indianapolis, Indiana. As a result of the slippery conditions and low visibility (50 yards or less), there was an enormous accident involving approximately 30 vehicles, including cars, tractor-trailers, and even a fire truck. Many witnesses said that people were driving too fast for the conditions and were too close together. In this problem, we explore two rules of thumb for driving in such conditions. The first is to drive at a speed that is half of what it would be in ideal conditions. The other is the 8-second rule: Watch the vehicle in front of you as it passes some object such as a street sign, and you should pass that same object 8 seconds later. On a dry road, the 8-second rule is replaced by a 3-second rule. a. Assume vehicles on a slippery interstate highway follow both rules. What is the distance between the vehicles? b. If a driver followed the first rule of thumb, driving at a lower speed, but used the 3-second rule instead of the 8-second rule, what is the distance between the vehicles? How does that distance compare with the visibility on the day of the accident? c. Suppose drivers do not follow either rule of thumb for slippery conditions. What is the distance between vehicles? How does that distance compare with the visibility on that day? d. Suppose a driver was not obeying either rule of thumb when she sees a tractor-trailer that stopped on the highway. She presses on her brakes, locking the wheels, and her car crashes into the truck. Estimate the magnitude of the impulse exerted on her car. e. Estimate the impulse on the car in part (d) had the driver followed both rules of thumb for slippery conditions instead of ignoring them.A. If you catch the ball, with what speed do you and the ball move afterwards? B. If the ball hits you and bounces off your chest so that afterward it is moving horizontally at 8.25 m/s in the opposite direction, what is your speed after the collision?4. Car A (m = 1.3 metric ton), with a speed of 300 m/s, collides with car B (m = 1.7 metricton), which is travelling at a speed of 200 m/s. If both cars were travelling at the samedirection before impact, answer the following questions. Note that e = 0.43.a. What is the velocity (m/s) of A after the collision?b. What is the velocity of B after the collision?c. How much kinetic energy is lost upon impact?d. Several seconds before their collision, the two cars are 15 m away from each other.How far is the system’s center of mass relative to object A?
- Question 2 2 points A0.600-k, ornament is hanging by a 1 50m wire when it is suddenly hit by a 0.200ks missile traveling horizontally at 40 m/s The missile embeds itself in the omament during the collision. What is the speed of the omament and the missile after the collision? O a. 10.5 Im/s] O b. 4.7 (m/s] OC 3.5 [m/sl O d. zeroA 1500kg sport car is moving westbound at 20m/s on a level road when it collided with a 4000kg truck driving east on the same road at 15m/s. The two vehicles remain locked together after the collision. a)what are is the magnitude of the velocity of the two vehicles just after the collision?Two blocks slide toward each other on a frictionless surface, as seen below. They collide and then stick together as one. 2M Which of the following describes their motion after the collision? O a. The boxes slide towards the left with velocity smaller than v/3. b. The boxes slide towards the right with velocity larger than v/3 O . The boxes slide towards the right with velocity smaller than v/3. o d. The boxes slide towards the left with velocity larger than v/3.
- A motorcycle daredevil plans to ride up a 2.0-mm-high, 20∘∘ ramp, sail across a 10-mm-wide pool filled with hungry crocodiles, and land at ground level on the other side. He has done this stunt many times and approaches it with confidence. Unfortunately, the motorcycle engine dies just as he starts up the ramp. He is going 10.4 m/sm/s at that instant, and the rolling friction of his rubber tires (coefficient 0.02) is not negligible. Justify your answer by calculating the distance he travels through the air after leaving the end of the ramp. x =1. A 4.0kg block has a velocity of ( 2.0i – 4.0j) m/s.a. Find the x and y components of its momentum.b. Find the magnitude and direction of its momentum1. A 4 × 10-4 slug revolver bullet is fired to the +x direction into a 0.002-slug hanging light bulb supported by a wire. The revolver bullet sticks inside the bulb. If the impact causes the light bulb to swing 6 inches above its initial level, calculate the speed of the revolver bullet.
- A 1000kg car is traveling 20m/s to the right when it collides head-on with a 1700kg pickup truck traveling 16m/s to the left. The vehicles lock together inelastically following the collision, which lasts 0.4s. What direction did the vehicles move after the collision? Car (initial) Truck (initial) Combined (final) Car only (final) Truck only (final) How fast were the vehicles moving after the collision? unit What was the magnitude of the impulse? unit What was the magnitude of the impact force? unit |pl unit |||1. A 32.00kg child runs with a speed of 6.00m and jumps onto a 20.00kg sled initially at rest on a flat bed of snow (no friction). What is the resultant speed of the child and sled after the child is atop the sled? S m S 2. The child-sled combo travel at velocity 12.00 and collide with a large snow bank, coming to rest after a 0.37s collision. What is the magnitude of the average force exerted on the child-sled combo by the snow bank during the collision? O 1037.84 N 518.59 N 1686.49 N 648.65 N m SAn 8 g bullet is fired horizontally into a stationary 9 kg block of wood and STICKS IN it. The block, which is free to move, has a velocity of 40 cm/s after impact. Find the initial velocity of the bullet. (Take note of the consistency of units). a. 250 m/s b. 450 m/s c. 450 cm/s d. 375 m/s