A spring has a Hooke's law spring constant of 3.4 N/m. If youload it with 1.3 kg, how far will it extend from its equilibriumlength?
A spring 10 cm long extends 0.5 cm when a mass of 8 kg is hungfrom it. Suppose you made an similar spring of the same material,but twice as long. How much would it extend with the same mass?
If you apply a force {f} newtons on a spring, and it extends tosome length 1.6 in meters, how far would it extend for anotherforce 3.7 times that first one?
If you pull on a spring with a force F to extend it for somechange in its length, what is the force that the spring pullsagainst you?
A gallon of water is about 3.785 liters, 3785 cm3 ofvolume, and 3.785 kg of mass. (Gasoline is somewhat less dense.)Suppose an empty tanker truck with a weight of 10,000 lbs (4545 kgmass) deflects a bridge by 1 cm (0.01 m) when it is in the middleof span. If a full truck could hold 8,000 gallons of water, howmuch would it deflect the bridge by if it were 36.1 percent full?Give your answer in cm, where 100 cm = 1 m or 2.54 cm = 1 in.
If you have a closed container containing gas at Earth'satmospheric pressure and at 20 °C , and you increase is temperatureby 10 °C while leaving the container tightly closed, what happensto the pressure inside?
A very good vacuum on Earth is 10-9 of Earth'satmospheric pressure at room temperature. How many atoms would bein a cubic meter of that vacuum?
Suppose you have plastic gallon milk bottle and you have removedall the water from it. In a microwave oven you boil a cup of waterand while it is boiling pour it in, let the vapor fill the bottleand displace all the air inside, and then tightly cap the bottle.You wait for a minutes while the water inside cools and the vaporcondenses, or you urge the process on by sitting the bottle outsideon the snow. Since your bottle no longer contains air, how muchforce is being exerted on a side that is 0.25 by 0.2 meters?
Suppose we have a piston 0.5 cm in diameter pushing on a fluid,and that liquid is connected to a cylinder with another, larger,piston being used to lift up your car. If your car has a mass of1500 kg, and without the apparatus you can lift at most 49.8 kg,what is the minimum diameter of the piston you will need to liftyour car?
You have a choice of boats to make a trip across a lake with a240 kg load of supplies for your vacation cabin. You and yourfriend both have masses of 80 kg. Since the smaller boats are lessexpensive to rent, and you want to keep it for several days, youchose the smallest one that will safely ferry your load. Allow asafety factor of 2x, such that the boat can support twice itsweight and the load. Knowing the density of water is 1000kg/m3, which one do you choose?
