MCAT · Practice Sheet 8

1. 1.

   Physics

   An object starts at 17 m/s and accelerates at 6 m/s² for 8 s. Find its final velocity.

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

   $v = u + at$

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2. 2.

   Physics

   If 2,880 J of work is done in 39 s, find the power.

   Formula:Power

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

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3. 3.

   Chemistry

   How many moles are present in 160 g of oxygen gas (O₂) (molar mass = 32 g/mol)?

   Formula:Number of Moles

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

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4. 4.

   Chemistry

   Find the molarity of a solution containing 1 mol of solute in 0.5 L of solution.

   Formula:Molarity

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

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5. 5.

   Biology

   In a monohybrid cross (Aa × Aa) producing 108 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.

   Chemistry

   Find the pressure of 4 mol of an ideal gas at 387 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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7. 7.

   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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8. 8.

   Physics

   An object starts at 6 m/s and accelerates at 5 m/s² for 5 s. Find its final velocity.

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

   $v = u + at$

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9. 9.

   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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10. 10.

    Physics

    If 3,411 J of work is done in 32 s, find the power.

    Formula:Power

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

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11. 11.

    Physics

    A constant force of 148 N moves an object 32 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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12. 12.

    Physics

    A body moving at 4 m/s accelerates at 8 m/s² for 2 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)

    $s = ut + \tfrac{1}{2}at^{2}$

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13. 13.

    Physics

    Find the voltage across a 48 Ω resistor carrying a current of 1 A.

    Formula:Ohm's Law

    $V = IR$

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14. 14.

    Biology

    Calculate the BMI of a person weighing 84 kg with height 1.9 m.

    Formula:Body Mass Index

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

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15. 15.

    Biology

    Under a microscope, an object of actual size 3.1 mm appears 291.4 mm. Find the magnification.

    Formula:Microscope Magnification

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

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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.

    Physics

    Calculate the potential energy of a 28 kg object at a height of 20 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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18. 18.

    Chemistry

    Find the pH of a solution with [H⁺] = 1×10⁻5 mol/L.

    Formula:pH of a Solution

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

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19. 19.

    Physics

    An object starts at 9 m/s and accelerates at 5 m/s² for 5 s. Find its final velocity.

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

    $v = u + at$

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20. 20.

    Physics

    Find the density of an object with mass 78 g and volume 30 cm³.

    Formula:Density

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

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