MCAT · Practice Sheet 15

1. 1.

   Physics

   An object starts at 13 m/s and accelerates at 2 m/s² for 7 s. Find its final velocity.

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

   $v = u + at$

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2. 2.

   Physics

   Calculate the potential energy of a 10 kg object at a height of 15 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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3. 3.

   Chemistry

   76 mL of a 10 M solution is diluted to 192 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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4. 4.

   Biology

   In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.5. 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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5. 5.

   Physics

   Find the electrical power when 92 V drives a current of 15 A.

   Formula:Electrical Power

   $P = VI$

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6. 6.

   Physics

   Find the momentum of a 18 kg body moving at 39 m/s.

   Formula:Linear Momentum

   $p = mv$

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7. 7.

   Chemistry

   How many moles are present in 132 g of carbon dioxide (CO₂) (molar mass = 44 g/mol)?

   Formula:Number of Moles

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

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8. 8.

   Chemistry

   Find the pH of a solution with [H⁺] = 1×10⁻3 mol/L.

   Formula:pH of a Solution

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

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9. 9.

   Physics

   Find the voltage across a 16 Ω resistor carrying a current of 5 A.

   Formula:Ohm's Law

   $V = IR$

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10. 10.

    Chemistry

    A solution is made by dissolving 7 g of solute in 122 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.

    Physics

    Calculate the potential energy of a 47 kg object at a height of 34 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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12. 12.

    Chemistry

    Find the pressure of 4 mol of an ideal gas at 323 K in a 6 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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13. 13.

    Physics

    Find the kinetic energy of a 10 kg object moving at 16 m/s.

    Formula:Kinetic Energy

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

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14. 14.

    Physics

    An object starts at 20 m/s and accelerates at 1 m/s² for 5 s. Find its final velocity.

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

    $v = u + at$

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15. 15.

    Biology

    In a monohybrid cross (Aa × Aa) producing 144 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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16. 16.

    Chemistry

    Find the pressure of 2 mol of an ideal gas at 329 K in a 20 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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17. 17.

    Chemistry

    85 mL of a 1 M solution is diluted to 398 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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18. 18.

    Biology

    Calculate the BMI of a person weighing 71 kg with height 1.41 m.

    Formula:Body Mass Index

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

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19. 19.

    Physics

    Calculate the potential energy of a 7 kg object at a height of 5 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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20. 20.

    Biology

    Under a microscope, an object of actual size 2.6 mm appears 41.6 mm. Find the magnification.

    Formula:Microscope Magnification

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

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