Bungee Jumping is an extreme adventure for thrill-seekers. A jumper weighing 65-kg is tied to a 0.21 km long (relaxed length) bungee cord. He then falls 340 m before bouncing back. Find the (a) force constant k (b) maximum tension force (c) maximum acceleration of the jumper.
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- 6. A loaded 425 kg toboggan is traveling on smooth horizontal snow at 5.40 m/s when it suddenly comes to a rough region. The region is 8.00 m long and reduces the toboggan's speed by 1.50 m/s. (a) What average friction force did the region exert on the toboggan? (b) What is the coefficient of kinetic friction between the toboggan and surface ?2. After one month of taking a literature class, a first-year Bard student decides to dispose of all the poetry he wrote in high school. Placing his poetry in a large box that ends total mass of 40 kg, he pushes the box up a frictionless 25° slope that leads to a large cliff dropping into a bottomless chasm. Starting from rest and continually exerting a 500N force in the horizontal direction on the box, how long does it take him to push the box 50 meters up with a 125° up the slope to the cliff?3. A base year student with a mass of 85 kg slides on a surfboard down the stairs in NI:0E11 with a constant speed of 3.0 m/s. The stairs have an angle of 15.0 degrees to the ground. (a) Free the surfer (ie the surfer and the teacher as a unit). (b) Calculate the frictional force.
- as a fish jump vertically out of the water, assume that only two significant forces act on it: an upward force F exerted by the tail fin and the downward force due to gravity. a force chinook salmon has a length of 1.50 m and a mass of 48.5 kg. if the fish is moving upward at 3.00 m/s as its head first breaks the surface and has an upward speed of 5.80 m/s after two-thirds of its length has left the surface, assume constant acceleration and determine the following. a. the salmon's acceleration b. the magnitude of the force F during this interval15. Gotta stay boosted. A 1.50 [kg] box moves along a frictionless horizontal surface with an initial speed of 5.00 [m/s] going to the right. A constant 3.00 [N] force is then applied to the box at an angle 0 = 35.0° with respect to the displacement vector. What is its final speed after moving 2.00 [m]? A. 4.91 [m/s] B. 5.62 [m/s] C. 5.74 (m/s] D. 6.00 [m/s]1. You and your family take a road trip on a long holiday weekend. In a certain section o the trip where the road is particularly uneven, the car goes over a bump that is curved downward with a radius of 23.0 m. See diagram below. The mass of the car and its passengers is 1950 kg. (a) When the car is at the highest point of the bump its speed is 7.05 m/s. Determine the magnitude and direction of the force exerted by the road on the car at this highest point. magnitude (b) If the speed at the highest point is above a certain maximum value the car will lose contact with the road. Calculate this maximum speed.
- Froghopper insects have a typical mass of around 11.9 mg11.9 mg and can jump to a height of 47.3 cm.47.3 cm. The takeoff velocity is achieved as the insect flexes its legs over a distance of approximately 2.00 mm.2.00 mm. Assume that the jump is vertical and that the froghopper undergoes constant acceleration while its feet are in contact with the ground. Ignore air resistance. What force did the ground exert on the froghopper during the jump? Express your answer as a multiple of the insect's weight.A 10 m long vertical cannon is used to accelerate a 1.0 kg ball straight up into air. A constant force of 13.2N is used to access bowling ball length of the canon. what is the ball's approximate velocity as it leaves the canon assuming no energy loss to frictionYou are trying to slide a heavy trunk across a horizontal floor. The mass of the trunk is 85kg, and you need to exert a force of 3.3*10^2 N to make it just begin to move. a)Determine the coefficient of static friction between the floor and the trunk.b)After the trunk starts moving, you continue to push with this force. The trunk reaches a speed of 2.0m/s after 5.0s. Calculate the acceleration of the trunk if the coefficient of kinetic friction between the trunk and the floor is 0.32.
- 4. A skydiver with a mass of 70 kg jumps out of a plane from a height of 4000.0 m. After falling freely for 1500 m, they deploy their parachute. The parachute creates a constant upward force and the skydiver accelerates at a rate of 7.5 m/s² [upward], eventually reaching a terminal velocity of 14 m/s [downwards). The skydiver then falls to the ground at a constant speed for the rest of the dive. How long does it take for the skydiver to reach the ground?19. A waitress shoves a ketchup bottle with mass 0.45 kg to her right along a smooth, level lunch counter. The bottle leaves her hand moving at 2.8 m/s, then slows down as it slides because of a constant horizontal friction force exerted on it by the countertop. It slides for 1.0 m before coming to rest. What is the magnitude of the friction force acting on the bottle?A worker pushes a 35.0-kg package on a horizontal roller-belt conveyor until it reaches a certain speed. The package then coasts on the horizontal conveyor, all the while slowing down, until it comes to a complete stop after moving 1.20 m. While the package is coasting on the conveyor, the opposing friction force averages 6.00 N. Use the WET to find the speed of the package after the worker pushes it and just as it begins to coast. 0.625 m/s 0.759 m/s 0.600 m/s 0.510 m/s 0.802 m/s 0.641 m/s