Math

QuestionCalculate: 20.94 g/mL × 33 mL = ? g and 496.3 m ÷ 0.90 s = ? m/s.

Studdy Solution

STEP 1

Assumptions1. The density of a substance is20.94 g/mL. The volume of the substance is33 mL3. The distance travelled is496.3 m4. The time taken to travel is0.90 s

STEP 2

First, we need to find the mass of the substance. We can do this by multiplying the density of the substance by its volume.
Mass=DensitytimesVolumeMass = Density \\times Volume

STEP 3

Now, plug in the given values for the density and volume to calculate the mass.
Mass=20.94gmtimes33mLMass =20.94 \, \frac{g}{m} \\times33 \, mL

STEP 4

Calculate the mass of the substance.
Mass=20.94gmtimes33mL=691.02gMass =20.94 \, \frac{g}{m} \\times33 \, mL =691.02 \, g

STEP 5

Next, we need to find the speed of the object. We can do this by dividing the distance travelled by the time taken.
Speed=DistanceTimeSpeed = \frac{Distance}{Time}

STEP 6

Now, plug in the given values for the distance and time to calculate the speed.
Speed=496.3m0.90sSpeed = \frac{496.3 \, m}{0.90 \, s}

STEP 7

Calculate the speed of the object.
Speed=496.3m0.90s=551.44msSpeed = \frac{496.3 \, m}{0.90 \, s} =551.44 \, \frac{m}{s}The mass of the substance is691.02 g and the speed of the object is551.44 m/s.

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