S3_Parachute_Report_Sophie_Lietzan

This exercise is part of a series of problems aimed at modeling a situation by progressively refining our model to take into account more and more parameters. This progressive approach is very close to what professional scientists do! context We want to lower a suspended load in a controlled way so that it hits the ground with a speed whose modulus is not too great. To slow down the descent, a spring has been added behind the mass (A), The suspended load (B) is connected by a rope passing through a pulley to this mass (A), which slides on a horizontal surface with friction.   Information The masses of the charges A and B are known.The mass of the rope itself is negligible (very small compared to the loads).The pulley has negligible mass and can rotate without friction.The charge B is initially stationary and is at a known height h.The surface on which mass A sits is tilted upwards at a known angle theta from the horizontal.There is friction under mass A: the kinetic friction…

A 7500-kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.25 m/s2 and feels no appreciable air resistance. When it has reacheda height of 525 m, its engines suddenly fail; the only force acting on it is now gravity. (a) What is the maximum height this rocket will re launch pad? (b) How much time will elapse after engine faihure before the rocket comes crashing down to the launch pad, and how fast will it be moving just before it crashes? (c) Sketch a-t, vy-t, and y-t graphs of the rocket's motion from the instant of blast-off to the instant just before it strikes the launch pad.

A thin-walled pipe, a uniform cylinder, a uniform sphere, and a bowling ball are all lined up on a ramp at an incline of 3 = 15°. All objects have the same total mass and diameter. As a reminder: Īp = mr², Ic=mr², is = ²mr², 18 = 2² -mr² 10 If all are released from rest at the same moment, after 5 seconds find the distance between... (a) The pipe and the cylinder (b) The cylinder and the sphere (c) The sphere and the bowling ball

Q1 A balloon is rising vertically above a level, straight road at a constant rate of 1 ft sec. Just when the balloon is 65 ft above the ground, a bicycle moving at a constant rate of 17 ft sec passes under it. How fast is the distance s(t) between the bicycle anoballoon increasing 3 sec later?

In the vertical jump, an athlete starts from a crouch and jumps upward as high as possible. Even the best athletes speed little more than 1.00 s in the air (their "hang time"). Treat the athlete as a particle and let their ymax be their maximum height above the floor. To explain why they seem to hang in the air, calculate the ratio of the time they are above ymax/2 to the time it takes them to go from the floor to that height. Ignore air resistance.

15m Tom, 75 kg, and John, 95 kg, paddle their 35 kg canoes on the lake. Tom drops his only paddle in the water and it sinks to the bottom when Tom is 15 m from shore. John decides to try to bump Tom to the shore. Assuming the water is still, Tom is initially at rest, and John can move his canoe at 3 m/s, will John be able to bump Tom to the shore? You may use a coefficient of restitution of 0.8 and a coefficient of friction of 0.2 between the water and the boat.

A block, as shown below, is sliding on a thin horizontal layer of water (u = 1.68 x 103 kg/m.s) between ice and the block with a speed of 13 m/s. The thickness of the water layer is 3.32 x 10-5 m. Given the following dimensions of the block, what is the force (F) required to maintain this movement? A = 9 cm B = 9 cm C= 8 cm B 2.96 N 5.33 N 4.14 N 4.74 N

A student wants to estimate drag force on a golf ball of diameter D moving in air at a speed of U at atmospheric conditions. The student has access to a wind-tunnel and develops a replica of the ball that is 5 times smaller in diameter sets the wind speed 5 times larger than the actual golf ball. Compared to the force on the replica, the estimated drag force on the actual golf ball will be

A 50 kg inclined plane, 4 m long and 30 degrees in angle, rests without friction on a table (there is oil between the inclined plane and the table). A 20 kg mass is at the top of the inclined plane and slides without friction on it. How much will the inclined plane move when the mass reaches the table? What will be the speed of the inclined plane and the speed of the mass when the latter is on the table? (we have conservation of mechanical energy (no friction) and conservation of momentum...)

An engineer is to design a human powered submarine for a design competition. The overall length of the prototype submarine is 2.24 m and its engineer designers hope that it can travel fully submerged through water at 0.560 m/s. The water is freshwater (a lake) at 7-15°C (p=999.1 kg/m3 and u= 1.138 ×103 kg/m-st. The design team builds a one-eighth scale model to test in their university's wind tunnel. The air in the wind tunnel is at 25°C (p= 1.180 kg/m3 and u = 1.849 ×10-5 kg/m-s) and at one standard atmosphere pressure. At what air speed do they need to run the wind tunnel in order to achieve similarity?

A computer is protected against impact by foam packaging (spring stiffness, k = 100 N/cm; mass, m = 11 kg, including packaging). The maximum acceleration that the computer can withstand on impact with a hard surface is 4g. At the maximum acceptable impact acceleration, how much does the packaging compress upon impact? Give the answer in cm. What is the maximum height, h, in cm that the case can fall from without damaging the computer?

Can you give me an example of a LEO orbit in state vectors of cartesian coordinates and keplar orbital elements. Do Earth's orbit have zero eccentricity and inclination?

A thief with mass M1 and her partner, who has mass M2 and is 40% heavier, attach themselves to each other with a cable over a pulley with negligible mass, as shown, schematically. The roof is icy so there is negligible friction. M2 slips and M1 falls 10 m. What is the thief's approximate acceleration, in m/s? , during her fall? M2 M. O 5.0 4.0 O 10 Need to know M1 or M2 7.0

Can you answer this with work enegy theorem or principal

37. The International Space Station (ISS), mass 419000 kg, orbits Earth at altitude 390 km. However, over the course of several months its altitude will “decay” and decrease by 10 km due to drag with Earth’s atmosphere. Rocket thrusters firing continuously for 2.0 orbits are used to boost the ISS back to the correct orbit. (a) Determine the “delta-v” (change in speed) associated with an increase in altitude of 10 km (assuming circular orbits at each altitude). (b) Determine the amount of thrust necessary for the boost – you can treat the situation like pushing an object up a ramp that is 10 km high and two orbits long (ignore drag).