Please answer the following 4 questions below with detail, do not mind the circled answers because I am not sure I answrred correctly. Thank you!!!

Problem 1: On a planet where gravity is 2 m/s', an astronaut jumps obliquely at an angle of 450 with respect to the horizontal direction. After making the parabolic trajectory, the astronaut returns to the ground at a distance of 4 m from the starting point (see Figure1). Calculate: a) The magnitude of the speed with which the astronaut takes off from the starting point. Option A: 2.82 m/s Option B: 4.00 m/s Option C: 9.8 m/s Option D: 4.9 m/s 2 b) The maximum height reached by the astronaut in her jump. Option A: 4m Option B. Im Option C: 8m Option D: 12m 3 c) The total work done by the gravitational force from the starting point (A) to the point at which the astronaut returns to the ground (B). W Option A: 2.82 Nm Option B: 98.0 Nm Option C: 0 Nm Option D: 12.22 Nm Problem 2: A container like the one in Figure 2 is filled with a liquid whose density is 1000 kg/m' The height (level) of the liquid is 5 m. At 0.5 m above the ground, the container has a hole through which the water escapes. Calculate: a) The exit velocity of the water. Vo Option A: 10.00 m/s Option B: 7.33 m/s Option C: 13.33 40 m/s Option D: 9.39 m/s Problem 3: Two blocks connected by a rope, like the ones shown in Figure 3, are moved at constant velocity on a triangular surface. There is no friction on the surface. Only one block (block 2) is in contact with the surface. Block 1 has a mass of 1 kg and block 2 has a mass of 2 kg. Calculate: a) The angle o indicated in Figure 3. Option A: 60 Option B: 450 Option & 720 Option-D. 130 b) The tension of the rope. Option A: 0 N Option B: 9.8 N Option C: 3 33 N Option D: 6.66 N Problem 4: Two balls, one of mass 1 kg (ball 1) and the other of mass 0.5 kg (ball 2), are moving on a frictionless surface and collide elastically. Before colliding, ball 1 (the one with a mass of 1 kg) has a speed of 1 m/s, while ball 2 (the one with a mass of 0.5 kg) is at rest. Calculate: 7 Ja) The velocity that ball 2 reaches after the collision. Option A: 14.2 m/s Option B: 1.00 m/s Option C: 1.33 m/s Option D: 7.07 m/s 8 b) The work done by the normal force on ball L until the moment of collision. Option A: 4.9 Nm Option B: 9.8 Nm Option C: 19.6 Nm Option D: 0 Nm q Vc) The linear momentum of the ball 1 before the collision. Option A: 1 kg m/s Option B: 0 kg m/s Option C: 12 kg m/s Option D: 32 kg m/s 1 0 d) The total kinetic energy of the system Option A: 2 Nm Option B: 0.5 N m Option C: 1 Nm Option D: 4 Nm Useful formulae: PE E = 1/2 mv2 + V V gravity = m gy P = MV W = 1/2 mvp- 1/2 m vi? W = Vi - Vf W =Fx Ax Ax = Vi At + 1/2 a (At) 2 a At = vf-Vi F = Ma 1/2 pv +P+pgh= const