Problem+Solving

Problem Solving

Students can find solutions to different mathematical problems they will face throughout the year. Under each problem is a link containing the solution to the problem. Try solving the problem first before watching the solution. An excellent way to check your own understanding. = Volume = [|Solution]
 * Find the volume of the cube pictured below.**

[|Solution]
 * Find the volume of the cylinder pictured below.**

= Speed, Time, & Distance =
 * Jake rode his bike over a bike course that was 81 meters long. The whole course took him 9 seconds to complete. What was Jake's average speed over that course?**

[|Solution]
 * You and your class are taking a class trip to Niagara Falls. You travel at a rate of 60 miles per hour and the total distance of the trip is 348 miles. How long does it take to reach your destination?**


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 * How far (in meters) will you travel if you are running at a rate of 6m/s for 3 minutes? **


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= Force, Weight, Mass, & Acceleration =
 * For a person who has a mass of 32,000g, calculate the weight in Newtons. **


 * [|Solution] **


 * What is the mass of a truck if it produces a force of 16,000N while accelerating at a rate of 5m/s/s? **


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 * Your car has a mass of 3,000,000g. If your car produces a force of 7,000N, how fast will it accelerate? **

[|Solution]


 * A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts down the slope, its speed is 4 m/s. But 3 seconds later, at the bottom of the slope, its speed is 22 m/s. What is its average acceleration?**


 * [|Solution]**


 * A car advertisement states that a certain car can accelerate from rest to 50 m/s in 7 seconds. Find the car’s average acceleration.**


 * [|Solution]**

= Momentum, Mass, & Velocity =
 * Calculate the momentum of a 700g ball that is rolling down a ramp at 4.6m/s. **

[|Solution]


 * In a collision, a 2kg mass moving at 50m/s transfers all of its momentum to a 25kg mass. What is the velocity of the 25kg mass after the collision? **


 * [|Solution] **


 * Your brother's mass is 35kg, and he is riding his 2.5kg skateboard. What is the combined momentum of your brother and his skateboard if they are going 8.5m/s? **


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 * If a Little League pitcher hurls a 125g ball 46 feet at his catcher in .8s, how much momentum will the ball have right before it reaches the catcher's glove? ** (30.48centimeters = 1 foot)


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= Pressure, Force, & Area =
 * A bronze statue weighs 2600N and has a base that is 3 meters by 2 meters. What is the pressure the statue exerts on the floor?**

[|Solution]


 * What is the weight of an object that has a base of 5 square inches and exerts a pressure of 35 pounds per square inch?**

[|Solution]


 * A box that is 3in X 3in X3in is size would need to weigh how much in order to create a pressure of 42 pounds per square inch?**

[|Solution]