13. A car's bumper is designed to withstand a 4.0-km/h (1.12-m/s) collision with an immovable object without damage to the body of the car. The bumper cushions the shock by absorbing the force over a distance. Calculate the magnitude of the average force on a bumper that collapses 0.200 m while bringing a 900-kg car to rest from an initial speed of 1.12 m/s.
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- 8. -When jumping straight down, you can be seriously injured if you land stiff-legged. One way to avoid injury is to bend your knees upon landing to reduce the force of the impact. A 75-kg man just before contact with the ground has a speed of 6.4 m/s. (a) In a stiff-legged land- ing he comes to a halt in 2.0 ms. Find the average net force that acts on him during this time. (b) When he bends his knees, he comes to a halt in 0.10 s. Find the average net force now. (c) During the landing, the force of the ground on the man points upward, while the force due to gravity points downward. The average net force acting on the man includes both of these forces. Taking into account the directions of the forces, find the force of the ground on the man in parts (a) and (h).56. Two blocks of masses m₁ = 2.00 kg and m₁ = 4.00 kg are each released from rest at a height of 5.00 m on a friction- less track, as shown in Figure P6.56, and undergo an elas- tic head-on collision. (a) Determine the velocity of each block just before the collision. (b) Determine the velocity of each block immediately after the collision. (c) Deter- mine the maximum heights to which m₁ and m₂ rise after the collision. 5.00 m m₁ = 2.00 kg m₁ = 4.00 kg Figure P6.56 5.00 mSports doctors are very concerned about brain injuries in contact sports. Brain injuries can occur if the head accelerates or decelerates at more than 50g, with injuries becoming serious or even life-threatening at 150g. Padded helmets are designed to reduce forces by lengthening the contact time. Suppose two 95 kg football players each running at 4.5 m/sm/s have a (illegal) head-to-head collision that brings both of them to a halt. A real collision of this sort is complex, but we can model it as a simple collision in which the force is constant for the duration of the collision. What magnitude force would decelerate each player at 75g? What is the minimum collision duration in ms for which their head accelerations would not exceed 75g? For players who are not wearing helmets, a true head-to-head collision has a duration of approximately 2.0 ms. In such a situation, what would be the head deceleration in g’s of these two players?
- 11. Each croquet ball in a set has a mass of 0.53kg. The green ball, traveling at 11.9 m/s, strikes the blue ball, which is at rest. Assuming that the balls slide on a frictionless surface and all collisions are head-on, find the final speed of the blue ball if the green ball continues moving after the collision at 2.5 m/s in the same direction.36. A block of mass m, = 5.0 kg is released from a height of 5.0 m (point A) down a smooth, curved ramp. It makes an elastic head-on collision with a block of mass m; = 10 kg that is initially at rest. (a) What is the maximum height reached by m, after the collision? (b) After the collision, m2 glides smoothly until it hits a rough patch and eventually comes to a stop. What is the length of the rough patch if the coefficient of kinetic friction between m, and the rough patch is 0.350?
- 3. Bob and Linda are sweethearts that enjoy skating arm in arm. Bob has a mass of 85 kg and Linda has a mass of 60 kg. Initially they are skating together with a speed of 3.0 m/s. Then Bob whispers a dirty joke into Linda's ear, causing her to push him in the oppposite direction of their motion. If Bob's final speed is 1.0 m/s, what is Linda's final speed? Before: Vi After: VBÍ1.Your car rolls slowly in a parking lot and bangs into the metal base of a light pole. In terms of safety, is it better for your collision with the light pole to be elastic, inelastic, or is the safety risk the same for either case? Explain and labled the problem.9