MCAT · Practice Sheet 5

1. 1.

   Physics

   Find the voltage across a 26 Ω resistor carrying a current of 2 A.

   Formula:Ohm's Law

   $V = IR$

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2. 2.

   Chemistry

   Find the pressure of 5 mol of an ideal gas at 310 K in a 4 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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3. 3.

   Biology

   Calculate the BMI of a person weighing 58 kg with height 1.74 m.

   Formula:Body Mass Index

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

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4. 4.

   Physics

   Find the kinetic energy of a 8 kg object moving at 29 m/s.

   Formula:Kinetic Energy

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

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5. 5.

   Physics

   Find the density of an object with mass 375 g and volume 43 cm³.

   Formula:Density

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

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6. 6.

   Physics

   Find the kinetic energy of a 11 kg object moving at 18 m/s.

   Formula:Kinetic Energy

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

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7. 7.

   Physics

   Find the density of an object with mass 58 g and volume 16 cm³.

   Formula:Density

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

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8. 8.

   Physics

   Find the voltage across a 50 Ω resistor carrying a current of 7 A.

   Formula:Ohm's Law

   $V = IR$

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9. 9.

   Physics

   Find the electrical power when 30 V drives a current of 2 A.

   Formula:Electrical Power

   $P = VI$

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10. 10.

    Physics

    A constant force of 71 N moves an object 19 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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11. 11.

    Chemistry

    Find the pressure of 1 mol of an ideal gas at 377 K in a 3 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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12. 12.

    Biology

    Under a microscope, an object of actual size 3 mm appears 213 mm. Find the magnification.

    Formula:Microscope Magnification

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

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13. 13.

    Biology

    In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.2. 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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14. 14.

    Physics

    Find the electrical power when 41 V drives a current of 4 A.

    Formula:Electrical Power

    $P = VI$

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15. 15.

    Physics

    Find the momentum of a 24 kg body moving at 36 m/s.

    Formula:Linear Momentum

    $p = mv$

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16. 16.

    Biology

    In a monohybrid cross (Aa × Aa) producing 152 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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17. 17.

    Physics

    Find the force required to accelerate a 35 kg mass at 10 m/s².

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

    $F = ma$

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18. 18.

    Physics

    A constant force of 29 N moves an object 33 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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19. 19.

    Chemistry

    A solution is made by dissolving 37 g of solute in 142 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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20. 20.

    Physics

    Find the kinetic energy of a 6 kg object moving at 13 m/s.

    Formula:Kinetic Energy

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

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