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Ratios
Math
Middle School Math

 Name _____________________________ Date ___________________
Ratios
Complete.

 1 Space ship Z is traveling at 182,000 miles per second. Spaceship Q is traveling at 170,000 miles per second. What is the ratio of speeds (Z/Q) of the two spaceships? Express your answer in terms of the maximum speed of light, which is 186,000 miles per second.
 2 The gravitational attraction between two objects is given by the formula F= G(m1m2/d2) where m represents the masses of the two objects, d is the distance between them and G is the gravitational constant (note: G = 6.67 x 10-11m3kg-1s-2). (a) Calculate the gravitational force between two objects (m1 = 525,000 kg, m2 = 1,365,000 kg) that are separated by 70 meters. (b) Then determine what the force is if m1 is doubled and d is decreased by a factor of 1/4 (hint: calculate what to subtract first and then subtract from d; do not just multiply d by the fraction).
 3 If the ratio of difficult physics problems to easy physics problems in a book is 4 to 3, how many easy problems are there if there are 360 problems in the book? Round your answer to the nearest whole number if necessary.
 4 On planet X, the atmospheric pressure is lower than it is on planet Y. Interplanetary probes were recently sent to the two planets and data were obtained on many things including the atmospheric pressure. The pressure on planet Y is 19 N/m2. If the pressure on planet X is half that of planet Y, what is the pressure, in Pascals, on planet X? Round your answer to the nearest hundredth if necessary.
 5 * This is a pre-made sheet.Use the link at the top of the page for a printable page.
 6 Jasmine dropped rock 1 (mass = 2.8 kg) from a height of 11 meters. She then dropped rock 2 (mass = 3.5 kg) from the same height. What was the ratio of kinetic energies of the rocks (KErock1/KErock2) when they hit the ground? (note: the acceleration of gravity is 9.81 m/s2.)

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