Question

A spring has a Hooke's law spring constant of 3.4 N/m. If you load it with 1.3 kg, how far will it extend from its equilibrium length?

A spring 10 cm long extends 0.5 cm when a mass of 8 kg is hung from 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 to some length 1.6 in meters, how far would it extend for another force 3.7 times that first one?

If you pull on a spring with a force F to extend it for some change in its length, what is the force that the spring pulls against you?

A gallon of water is about 3.785 liters, 3785 cm³ of volume, and 3.785 kg of mass. (Gasoline is somewhat less dense.) Suppose an empty tanker truck with a weight of 10,000 lbs (4545 kg mass) deflects a bridge by 1 cm (0.01 m) when it is in the middle of span. If a full truck could hold 8,000 gallons of water, how much 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's atmospheric pressure and at 20 °C , and you increase is temperature by 10 °C while leaving the container tightly closed, what happens to the pressure inside?

A very good vacuum on Earth is 10^-9 of Earth's atmospheric pressure at room temperature. How many atoms would be in a cubic meter of that vacuum?

Suppose you have plastic gallon milk bottle and you have removed all the water from it. In a microwave oven you boil a cup of water and while it is boiling pour it in, let the vapor fill the bottle and displace all the air inside, and then tightly cap the bottle. You wait for a minutes while the water inside cools and the vapor condenses, or you urge the process on by sitting the bottle outside on the snow. Since your bottle no longer contains air, how much force 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 of 1500 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 lift your car?

You have a choice of boats to make a trip across a lake with a 240 kg load of supplies for your vacation cabin. You and your friend both have masses of 80 kg. Since the smaller boats are less expensive to rent, and you want to keep it for several days, you chose the smallest one that will safely ferry your load. Allow a safety factor of 2x, such that the boat can support twice its weight and the load. Knowing the density of water is 1000 kg/m³, which one do you choose?

Answer 1