Question

1) A paragliding person who is 70kg is attached to a motorboat and to a parachute by ropes. The motorboat's rope is pulling the person with a tension force and it is at an angle of 45 degrees. The parachute rope is at an angle of 25 degrees with respect to the vertical. If the person is sailing along at constant speed, then what is the tension in the parachute rope (the rope above the person's head)?

2) In deep space, an astronaut is whipping a heavy tool around in a circle by a taut cable. The cable is 1 meter long (from the astronaut's fist to the tool), and the tool makes a full trip around the circle in half a second as it moves with constant speed. The mass of the tool is 10 kg. What is the tension in the cable?

3) A ring of mass 10 kg is being pulled by three ropes, similar to the ring on the force table experiment from your lab class. One rope is pulling with a force of 200 N, the second rope is pulling with a force of 300 N and in a direction that is 98 degrees counterclockwise from the first rope. The third rope is pulling with a force of 400 N and in a direction that is 90 degrees clockwise from the first rope.

a. What is the acceleration vector of the ring? Give your answer as a vector with x and y components.

b. What is the total displacement vector (using the starting point as the origin) after 5 seconds of this pulling, if it started from rest? Give your answer as a vector with x and y components.

c. In that 5 second time period, how much total work was done on the ring? Hint: A dot B = A_xB_x+A_yB_y

4) A 20 kg bag is being dragged along a floor with a kinetic friction coefficient of 0.1. The bag is being dragged by a strap connected to it that is at an angle of 45 degrees. If the bag is being dragged at a constant speed, how much work is done by the friction force over a dragging distance of 10 meters?

5)That box up there on that curved slide has a mass of 70 kg. It is 10 meters above the ground when it is held up there at the top. If there is enough friction between the box and the slide to cause it to lose 100 J of energy to heat as it slides down to the bottom, what will the speed of the box be just before it reaches the end of the slide?

6)That box up there on that table has a mass of 10 kg. It is in contact with a spring that is compressed 5 cm from its equilibrium position. The spring has a stiffness constant of 1000 kg/s^2. There is no friction between the box and the table and the table is 1 meter high. Once the spring is released it will push the box forward with its full extension at which point, the box will leave the surface of the table. How far will the box go in the 'x' direction once it leaves the table, before it hits the floor?

Answer 1