MCAT · Practice Sheet 44

1. 1.

   Physics

   Find the force required to accelerate a 12 kg mass at 3 m/s².

   Formula:Newton's Second Law (F = ma)

   $F = ma$

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2. 2.

   Chemistry

   Find the pressure of 3 mol of an ideal gas at 342 K in a 2 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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3. 3.

   Chemistry

   16 mL of a 10 M solution is diluted to 363 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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4. 4.

   Physics

   Find the density of an object with mass 48 g and volume 9 cm³.

   Formula:Density

   $\rho = \dfrac{m}{V}$

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5. 5.

   Physics

   A constant force of 25 N moves an object 44 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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6. 6.

   Physics

   An object starts at 20 m/s and accelerates at 10 m/s² for 6 s. Find its final velocity.

   Formula:Equation of Motion (v = u + at)

   $v = u + at$

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7. 7.

   Physics

   A force of 889 N acts on an area of 3 m². Find the pressure.

   Formula:Pressure

   $P = \dfrac{F}{A}$

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8. 8.

   Biology

   Under a microscope, an object of actual size 3.3 mm appears 240.9 mm. Find the magnification.

   Formula:Microscope Magnification

   $M = \dfrac{\text{image size}}{\text{actual size}}$

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9. 9.

   Chemistry

   How many moles are present in 36 g of water (H₂O) (molar mass = 18 g/mol)?

   Formula:Number of Moles

   $n = \dfrac{m}{M}$

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10. 10.

    Chemistry

    A solution is made by dissolving 42 g of solute in 70 g of solvent. Find the mass percentage of the solute.

    Formula:Mass Percentage

    $\%\,\text{mass} = \dfrac{\text{solute}}{\text{solution}}\times 100$

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11. 11.

    Chemistry

    Find the pressure of 1 mol of an ideal gas at 312 K in a 16 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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12. 12.

    Biology

    In a monohybrid cross (Aa × Aa) producing 88 F₂ offspring, how many are expected to show the dominant and the recessive phenotype (3:1 ratio)?

    Formula:Monohybrid Cross (3:1)

    $\text{Dominant}:\text{Recessive} = 3:1$

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13. 13.

    Physics

    A body moving at 6 m/s accelerates at 1 m/s² for 7 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)

    $s = ut + \tfrac{1}{2}at^{2}$

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14. 14.

    Physics

    Find the electrical power when 151 V drives a current of 3 A.

    Formula:Electrical Power

    $P = VI$

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15. 15.

    Physics

    If 4,136 J of work is done in 6 s, find the power.

    Formula:Power

    $P = \dfrac{W}{t}$

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16. 16.

    Physics

    Find the momentum of a 12 kg body moving at 13 m/s.

    Formula:Linear Momentum

    $p = mv$

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17. 17.

    Biology

    Under a microscope, an object of actual size 0.3 mm appears 17.1 mm. Find the magnification.

    Formula:Microscope Magnification

    $M = \dfrac{\text{image size}}{\text{actual size}}$

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18. 18.

    Chemistry

    Find the molarity of a solution containing 1 mol of solute in 0.5 L of solution.

    Formula:Molarity

    $M = \dfrac{n}{V}$

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19. 19.

    Biology

    Under a microscope, an object of actual size 4.1 mm appears 151.7 mm. Find the magnification.

    Formula:Microscope Magnification

    $M = \dfrac{\text{image size}}{\text{actual size}}$

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20. 20.

    Biology

    In a monohybrid cross (Aa × Aa) producing 60 F₂ offspring, how many are expected to show the dominant and the recessive phenotype (3:1 ratio)?

    Formula:Monohybrid Cross (3:1)

    $\text{Dominant}:\text{Recessive} = 3:1$

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