1. Here are the densities and radii of planets in our solar system (in grams per cm3 and km, respectively)
|
Mercury
|
5.4 g cm-3
|
2,440 km
|
|
Venus
|
5.2 g cm-3
|
6,052 km
|
|
Earth
|
5.5 g cm-3
|
6,378 km
|
|
Mars
|
3.9 g cm-3
|
3,396 km
|
|
Jupiter
|
1.3 g cm-3
|
71,492 km
|
|
Saturn
|
0.7 g cm-3
|
60,268 km
|
|
Uranus
|
1.3 g cm-3
|
25,559 km
|
|
Neptune
|
1.6 g cm-3
|
24,764 km
|
How much would you weigh on these different planets? 1 pound is equal to 0.453592 kg.
2. Consider an Atwood's machine consisting of two masses connected by a string which is over a pulley, as shown in the picture.
a) Draw a free body diagram for both block A and block B.
b) Apply Newton's second law to both block A and block B.
c) the mass of block A is 14 kg while the mass of block B is 6 kg, find the tension in the rope.
3. Consider a modified Atwood machine, with a mass sitting on a table connected by a string which stretches over a pulley connected to a hanging mass. Friction is ignored.
a) Draw a free body diagram for both block 1 and block 2.
b) Apply Newton's second law to both block 1 and block 2.
c) If the mass of block 2 is 20 kg while the mass of block 1 is 5 kg, find the tension in the rope.