Two objects are connected by a light string passing over a light, frictionless pulley as shown in the figure below. The object of mass m, 5.20 kg is released from rest at a height h 2.60 m above the table. (a) Using the isolated system model, determine the speed of the object of mass m, 3.00 kg just as the 5.20-kg object hits the table. m/s (b) Find the maximum height above the table to which the 3.00-kg object rises. m

A parachutist whose mass is 65 kg drops from a helicopter hovering 1500 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b, = 20 N-sec/m when the chute is closed and bɔ = 100 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 25 m/sec, after how many seconds will the parachutist reach the ground? Assume that the acceleration due to gravity is 9.81 m/sec".

A parachutist whose mass is 70 kg drops from a helicopter hovering 2000 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b₁ = 30 N-sec/m when the chute is closed and b₂ = 90 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 15 m/sec, after how many seconds will the parachutist reach the ground? Assume that the acceleration due to gravity is 9.81 m/sec² The parachutist will reach the ground after (Round to two decimal places as needed.) seconds. C

Two objects are connected by a light string passing over a light frictionless pulley as shown in Figure 2 ject of mass 5.00 kg is released from rest. Using the princi- ple of conservation of energy, (a) determine the speed of the 3.00-kg object just as the 5.00-kg object hits the ground. (b) Find the maximum height to which the The ob- 3.00-kg object rises. 5.00 kg m2 3.00 kg h = 4.00 m Figure

A box is released from rest at the top of a ramp at time t = 0. It slides down the ramp and collides with a spring. At time t = t4, the box first comes in contact with the spring. A short while later at time t = tg, the spring reaches its maximum compression. Then the spring recoils (starts getting longer again). At time t = t42, the spring returns to its natural length and it separates from the box again. The light gray depictions of the box in the figure below labeled A and B indicate how A B Mwww far down the ramp the box would be at times ta and tg, respectively. At time t42, the box is back in location A. In the questions below, assume that you can ignore the mass of the spring. 1. As the block slides down the ramp, engages the spring, comes to a stop, and then gets pushed back up the ramp again, there are four forces acting on it: weight (w), normal force from the ramp (N), spring force (F,), and friction from the ramp (Ff). Your task is to fill in the table below. In each of the…

Particles of mass 600 g and 400 g are connected by a light inextensible string passing over a smooth fixed pulley. Initially both masses hang vertically, 30 cm above the ground. If the system is released from rest, find the greatest height reached above ground by the 400 g mass.

A 10kg block is released from rest at point A the in figure shown. The track is frictionless except for the portion between points B and C, which has a length of 6m. The block travels down the track, hits a spring of force constant 2250N/m and compresses the spring 0.3m from its cquilibrium position before coming to rest momentarily. You may assume that the spring has negligible mass.

mass m, which starts from rest at x =0 and t =0, subject to the following force functions: 1- Find the velocity i and the position x as functions of the time t for a particle of (a) F = F.+ ct (b) Fx = F, sin ct (c) F, = F, e Where F, andc are positive constants.

Starting at time t = 0, net force F1 is applied to an object that is initially at rest. (a) If the force remains constant with magnitude F1 while the object moves a distance d, the final speed of the object is v1. What is the final speed v2 (in terms of v1) if the net force is F2 = 2F1 and the object moves the same distance d while the force is being applied? (b) If the force F1 remains constant while it is applied for a time T, the final speed of the object is v1. What is the final speed v2 (in terms of v1) if the applied force is F2 = 2F1 and is constant while it is applied for the same time T? In a later chapter we’ll call force times distance work and force times time impulse and associate work and impulse with the change in speed.)

Some ECOR1048 students are curious about expanding their knowledgebase and conduct an experiment. They attach a pendulum to the roof of an elevator, to find the tension in the supporting light rod when the elevator accelerates upwards. They conducted the experiment, but unfortunately lost all their data. Now they are modelling the scenario theoretically (since they are still curious). If the pendulum is displaced by an amount, 0,, and released from rest (with respect to the elevator), determine: a) The tension, T,, in the supporting light rod when 0 = 0. b) Evaluate your result for when 0, =. π Use the problem diagram below. L do m