MCAT · Practice Sheet 20

1. 1.

   Biology

   In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.1. 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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2. 2.

   Physics

   A projectile is launched at 47 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

   $R = \dfrac{u^{2}\sin 2\theta}{g}$

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3. 3.

   Physics

   If 1,333 J of work is done in 21 s, find the power.

   Formula:Power

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

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4. 4.

   Physics

   Find the force required to accelerate a 8 kg mass at 10 m/s².

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

   $F = ma$

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5. 5.

   Biology

   In a monohybrid cross (Aa × Aa) producing 56 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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6. 6.

   Biology

   Calculate the BMI of a person weighing 70 kg with height 1.55 m.

   Formula:Body Mass Index

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

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7. 7.

   Physics

   A force of 459 N acts on an area of 44 m². Find the pressure.

   Formula:Pressure

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

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8. 8.

   Physics

   Calculate the potential energy of a 22 kg object at a height of 8 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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9. 9.

   Biology

   In a monohybrid cross (Aa × Aa) producing 140 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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10. 10.

    Physics

    Calculate the potential energy of a 7 kg object at a height of 40 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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11. 11.

    Physics

    If 438 J of work is done in 5 s, find the power.

    Formula:Power

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

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12. 12.

    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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13. 13.

    Physics

    Find the density of an object with mass 419 g and volume 9 cm³.

    Formula:Density

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

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14. 14.

    Physics

    Find the force required to accelerate a 24 kg mass at 10 m/s².

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

    $F = ma$

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15. 15.

    Biology

    Calculate the BMI of a person weighing 62 kg with height 1.75 m.

    Formula:Body Mass Index

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

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16. 16.

    Physics

    An object starts at 3 m/s and accelerates at 9 m/s² for 9 s. Find its final velocity.

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

    $v = u + at$

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17. 17.

    Chemistry

    A solution is made by dissolving 17 g of solute in 87 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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18. 18.

    Physics

    Find the electrical power when 42 V drives a current of 5 A.

    Formula:Electrical Power

    $P = VI$

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19. 19.

    Physics

    A force of 234 N acts on an area of 48 m². Find the pressure.

    Formula:Pressure

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

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20. 20.

    Chemistry

    Find the molarity of a solution containing 3 mol of solute in 2 L of solution.

    Formula:Molarity

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

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