MCAT · Practice Sheet 36

1. 1.

   Physics

   Find the density of an object with mass 42 g and volume 36 cm³.

   Formula:Density

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

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2. 2.

   Biology

   Under a microscope, an object of actual size 1.8 mm appears 52.2 mm. Find the magnification.

   Formula:Microscope Magnification

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

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3. 3.

   Chemistry

   Find the pH of a solution with [H⁺] = 5×10⁻2 mol/L.

   Formula:pH of a Solution

   $pH = -\log_{10}[H^{+}]$

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4. 4.

   Physics

   Find the kinetic energy of a 4 kg object moving at 12 m/s.

   Formula:Kinetic Energy

   $KE = \tfrac{1}{2}mv^{2}$

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5. 5.

   Chemistry

   Find the pressure of 2 mol of an ideal gas at 308 K in a 15 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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6. 6.

   Biology

   Under a microscope, an object of actual size 2 mm appears 170 mm. Find the magnification.

   Formula:Microscope Magnification

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

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7. 7.

   Biology

   In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.4. Find the dominant allele frequency p and the percentage of heterozygous carriers.

   Formula:Hardy–Weinberg Equilibrium

   $p + q = 1,\;\; 2pq = \text{carriers}$

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8. 8.

   Physics

   An object starts at 5 m/s and accelerates at 3 m/s² for 11 s. Find its final velocity.

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

   $v = u + at$

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9. 9.

   Chemistry

   31 mL of a 1 M solution is diluted to 138 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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10. 10.

    Physics

    Find the momentum of a 16 kg body moving at 15 m/s.

    Formula:Linear Momentum

    $p = mv$

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11. 11.

    Physics

    An object starts at 10 m/s and accelerates at 7 m/s² for 4 s. Find its final velocity.

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

    $v = u + at$

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12. 12.

    Physics

    Find the momentum of a 38 kg body moving at 36 m/s.

    Formula:Linear Momentum

    $p = mv$

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13. 13.

    Biology

    Under a microscope, an object of actual size 2.4 mm appears 194.4 mm. Find the magnification.

    Formula:Microscope Magnification

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

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14. 14.

    Physics

    A constant force of 174 N moves an object 9 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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15. 15.

    Physics

    If 1,698 J of work is done in 3 s, find the power.

    Formula:Power

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

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16. 16.

    Biology

    In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.4. Find the dominant allele frequency p and the percentage of heterozygous carriers.

    Formula:Hardy–Weinberg Equilibrium

    $p + q = 1,\;\; 2pq = \text{carriers}$

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17. 17.

    Chemistry

    Find the molarity of a solution containing 1 mol of solute in 2.5 L of solution.

    Formula:Molarity

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

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18. 18.

    Physics

    Find the kinetic energy of a 17 kg object moving at 25 m/s.

    Formula:Kinetic Energy

    $KE = \tfrac{1}{2}mv^{2}$

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19. 19.

    Chemistry

    Find the pH of a solution with [H⁺] = 2×10⁻5 mol/L.

    Formula:pH of a Solution

    $pH = -\log_{10}[H^{+}]$

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20. 20.

    Biology

    Calculate the BMI of a person weighing 74 kg with height 1.7 m.

    Formula:Body Mass Index

    $BMI = \dfrac{m}{h^{2}}$

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