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##### STEM Topic 04: Problem Set - 1
1. The cost of a nylon jacket is \$80. If the store is offering a 20% discount on all nylon jackets, what is the sale price?

2. A store sells nylon ropes for \$12 per meter. If a customer purchases x meters of nylon rope and pays a total of \$96, what is the value of x?

3. The number of nylon bags a manufacturer produces per month is given by the equation N = 50x + 100, where x represents the number of months. How many nylon bags will be produced in 5 months?

4. The length of a nylon strap is 3 times its width. If the width is represented by w, write an algebraic expression for the length of the nylon strap.

5. The total weight of a shipment of nylon fabric rolls is 360 kilograms. If the weight of each roll is 5 kilograms, how many rolls are there in the shipment?

6. The cost of producing a nylon bag is given by the equation C = 2x + 50, where x represents the number of bags produced. If the total cost is \$250, what is the value of x?

7. The opening of a basketball net is in the shape of a circle with a diameter of 18 inches. What is the circumference of the net's opening? (round to one decimal place) NOTE: A rubber band stretches proportionally to the force applied. A Newton is a measure of force.

8. If a rubber band stretches 3 centimeters when pulled with a force of 5 newtons, how much will it stretch when pulled with a force of 8 newtons?

9. A rubber mat measures 1.5 meters in length and 0.8 meters in width. What is the area of the rubber mat in square feet? Use 1 meter = 39.4 inches

10. A rubber ball bounces back to a height of 80% of its previous bounce. If the ball is dropped from a height of 2 meters, how high will it bounce after its second bounce?

##### STEM Topic 04: Problem Set - 2
1. The molecular weight of butyl rubber, which is used in basketball manufacturing, is 154 grams/mole. How many moles of butyl rubber are present in a basketball that weighs 600 grams?

2. A basketball contains 10% helium gas by volume. If the total volume of the basketball is 9.45 liters, how many liters of helium gas are present?

3. a. The circumference of a basketball is 75 cm. What is the radius of the basketball? (C=2pr)
b. If the basketball's surface area is 1,123 cm², what is the volume of the basketball?
Area = 8r2 Volume =
NOTE: The Pascal is a measure of pressure or stress exerted on an object. It is commonly used in science and engineering to quantify pressure in various systems, such as fluids, gases, and solids. Convert pounds per square inch of pressure to Pascals. 1 psi = 6,894.76 Pa

4. The basketball's pressure is measured to be 8 psi. Convert this pressure to pascals.

5. The basketball is inflated to a gauge pressure of 5 psi. If the atmospheric pressure is 14.7 psi, what is the absolute (gauge + atmosphere) pressure inside the basketball?

6.  The density of a basketball is 0.6 g/cm³. What is the mass of a basketball with a volume of 800 cm³?
NOTE: The coefficient of restitution (COR) measures the elasticity of a collision between two objects. In this case, it represents how much energy is retained after the basketball hits the ground and bounces back To calculate the height to which the basketball will bounce back, multiply the initial height by the square of the COR

7. The basketball's coefficient of restitution is 0.7. If it is dropped from a height of 2 meters, how high will it bounce back?

8. The mesh of a basketball net is in the shape of a rhombus (diamond), with each side measuring 3 inches. What is the perimeter of each rhombus formed by the net mesh?

9. The opening of a basketball net is in the shape of a circle with a diameter of 18 inches. What is the circumference of the net's opening? (round to one decimal place)

10. The rim of a basketball net is attached to a circular backboard with a diameter of 3 feet. What is the area of the circular backboard?

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