MCAT · Practice Sheet 26

1. 1.

   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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2. 2.

   Physics

   Calculate the potential energy of a 49 kg object at a height of 26 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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3. 3.

   Biology

   In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.3. 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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4. 4.

   Physics

   Calculate the potential energy of a 16 kg object at a height of 44 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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5. 5.

   Physics

   Find the density of an object with mass 244 g and volume 5 cm³.

   Formula:Density

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

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6. 6.

   Physics

   If 2,420 J of work is done in 12 s, find the power.

   Formula:Power

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

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7. 7.

   Biology

   In a monohybrid cross (Aa × Aa) producing 48 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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8. 8.

   Physics

   A constant force of 119 N moves an object 50 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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9. 9.

   Physics

   Find the force required to accelerate a 49 kg mass at 8 m/s².

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

   $F = ma$

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10. 10.

    Physics

    Find the momentum of a 22 kg body moving at 36 m/s.

    Formula:Linear Momentum

    $p = mv$

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11. 11.

    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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12. 12.

    Physics

    If 4,560 J of work is done in 16 s, find the power.

    Formula:Power

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

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13. 13.

    Physics

    Find the electrical power when 80 V drives a current of 12 A.

    Formula:Electrical Power

    $P = VI$

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14. 14.

    Chemistry

    Find the pressure of 5 mol of an ideal gas at 206 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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15. 15.

    Biology

    Calculate the BMI of a person weighing 51 kg with height 1.61 m.

    Formula:Body Mass Index

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

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16. 16.

    Physics

    Find the density of an object with mass 410 g and volume 47 cm³.

    Formula:Density

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

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17. 17.

    Physics

    A constant force of 192 N moves an object 28 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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18. 18.

    Physics

    Find the momentum of a 12 kg body moving at 33 m/s.

    Formula:Linear Momentum

    $p = mv$

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19. 19.

    Chemistry

    Find the pressure of 1 mol of an ideal gas at 211 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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20. 20.

    Physics

    A projectile is launched at 29 m/s at 45° 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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