Solve the following problems.
1. The force of gravity (g) acting on an object varies directly with the mass of the object (m). The force on a mass of 10 kg is 98 N. What is the force acting on a mass of 25 kg?
2. The number of copies (N) produced by a copier varies directly as the amount of time the copier (t) is operating. If the copier produces 150 copies in 4 minutes, how many copies can it produce in 1 hour?
3. If an object dropped from a height of 20 meters takes 3 seconds to reach the ground, from what height (h) should it be dropped if it is to reach the ground in a time (t) of 6 seconds?
4. The number of days (D) a container of water lasts varies inversely as the number of people (p) who consume it. If a barrel of water lasts 2 days for 5 people, how long will it last for 3 people?
5. The number of minutes (m) that it takes for an ice cube to melt varies inversely as the temperature (t) of the water the ice cube is placed in. when the ice cube is placed in 16°C water, it takes 2.3 min to melt. How long would it take for this size of ice cube to melt if it will be placed in 24°C water?

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