MCAT · Practice Sheet 50

1. 1.

   Physics

   An object starts at 6 m/s and accelerates at 5 m/s² for 11 s. Find its final velocity.

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

   $v = u + at$

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2. 2.

   Chemistry

   Find the molarity of a solution containing 3 mol of solute in 0.5 L of solution.

   Formula:Molarity

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

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3. 3.

   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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4. 4.

   Physics

   If 616 J of work is done in 15 s, find the power.

   Formula:Power

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

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5. 5.

   Chemistry

   How many moles are present in 72 g of water (H₂O) (molar mass = 18 g/mol)?

   Formula:Number of Moles

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

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6. 6.

   Chemistry

   Find the pressure of 2 mol of an ideal gas at 290 K in a 12 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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7. 7.

   Physics

   A constant force of 161 N moves an object 42 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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8. 8.

   Biology

   In a monohybrid cross (Aa × Aa) producing 68 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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9. 9.

   Physics

   A projectile is launched at 34 m/s at 60° 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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10. 10.

    Physics

    A force of 730 N acts on an area of 42 m². Find the pressure.

    Formula:Pressure

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

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11. 11.

    Chemistry

    How many moles are present in 88 g of carbon dioxide (CO₂) (molar mass = 44 g/mol)?

    Formula:Number of Moles

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

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12. 12.

    Physics

    Calculate the potential energy of a 42 kg object at a height of 7 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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13. 13.

    Physics

    Find the electrical power when 49 V drives a current of 2 A.

    Formula:Electrical Power

    $P = VI$

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14. 14.

    Physics

    A constant force of 15 N moves an object 16 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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15. 15.

    Chemistry

    How many moles are present in 146.25 g of sodium chloride (NaCl) (molar mass = 58.5 g/mol)?

    Formula:Number of Moles

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

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16. 16.

    Physics

    Calculate the potential energy of a 35 kg object at a height of 44 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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17. 17.

    Physics

    Find the electrical power when 178 V drives a current of 3 A.

    Formula:Electrical Power

    $P = VI$

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18. 18.

    Chemistry

    A solution is made by dissolving 7 g of solute in 80 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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19. 19.

    Physics

    A body moving at 2 m/s accelerates at 7 m/s² for 7 s. Find the distance travelled.

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

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

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20. 20.

    Physics

    Find the force required to accelerate a 7 kg mass at 13 m/s².

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

    $F = ma$

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