IMPORTANT: the formulas, definitions and the first two of Newton’s Laws are available on the page for the lab 4. You will need some of the formulas from kinematics for the assignment (see lab 3, I think). In order to encourage you all to work out the answers to the problems independently I have made it so that each of you will use different numbers for the problems below. Look in the table at the end of the assignment to find out which number applies to you.
1. Consider a book of mass (see table, below) sitting at rest on a desk.
a. Draw the free-body diagram for the book showing all the types of forces on it and their values.
b. If I push sideways on the book with 2.0 N it still does not move. Explain how. Draw the free-body diagram.
2. Consider a ball of mass (see table) being lowered on a piece of string at constant velocity.
a. Draw the free-body diagram for the ball showing all the types of forces on it and their values.
i. Describe each of the reaction forces associated with the action forces on your diagram.
b. Draw the diagram after the string is cut. What will the motion of the ball be? Show why.
i. If the ball is 1.0m above the ground when the string is cut, how long will it be until it hits the ground?
c. Repeat part a) assuming that the ball is accelerated upward at 9.8m/s2.
3. Consider an block of mass (see table) pulled across a horizontal table top at a constant velocity by a string with tension 10N.
a. Draw the free-body diagram for the block showing all the types of forces on it and their values.
i. Describe each of the reaction forces associated with the action forces on your diagram.
b. Draw the diagram after the string is cut. What will the motion of the block be? Show why.
c. Draw the diagram if the table were slanted at 30˚ to the horizontal, but do not include numbers. Try to explain why I do not want numbers.
4. Two space probes of equal mass (see table) collide head on while each of them has a speed of 10.0 m/s. The collision lasts 2.0 ms, and at the end of it the probes are both at rest. Assume that the force between the probes is constant during the collision and that no other forces act on them.
a. Find the acceleration of each probe during the collision.
b. Do the free body diagram for each probe during the collision.
ARMIJO, Bernardo 1.5 kg
BORDA, Marvin 2.5 kg
CALTON, Matthew 3.5 kg
COMESOTTI, Kieran 4.5 kg
CHANG, Angela 5.5 kg
CORREA, Giancarlo 6.5 kg
DAJBURA, George 7.5 kg
GRECU, Yancu 8.5 kg
HUANG, Pablo 9.5 kg
ILLANES, Ana Sofia 10.5
kg
ILLANES, Leonardo 11.5 kg
MARENO, Gabriela 12.5 kg
MERCADO, Adriana 13.5 kg
MERCADO, Verónica 14.5 kg
ORELLANA, Diego 15.5 kg
ORGAZ, Maria 16.5
kg
QUEREJAZU, Andres 17.5 kg
QUIROGA, Jose 18.5 kg
RODRÍGUEZ, Omaira 19.5 kg
SOLOGUREN, Estela 20.5 kg
TANG, Nicolas 21.5
kg
TORRES, Nicolas 22.5
kg
VEGA, Helmut 23.5
kg