MCAT · Practice Sheet 33

1. 1.

   Physics

   A projectile is launched at 25 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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2. 2.

   Physics

   Find the kinetic energy of a 2 kg object moving at 8 m/s.

   Formula:Kinetic Energy

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

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3. 3.

   Physics

   A projectile is launched at 45 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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4. 4.

   Physics

   Calculate the potential energy of a 13 kg object at a height of 9 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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5. 5.

   Physics

   Find the kinetic energy of a 11 kg object moving at 13 m/s.

   Formula:Kinetic Energy

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

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6. 6.

   Biology

   Calculate the BMI of a person weighing 90 kg with height 1.8 m.

   Formula:Body Mass Index

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

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7. 7.

   Physics

   A projectile is launched at 33 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

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

   View formula →
8. 8.

   Chemistry

   Find the pressure of 5 mol of an ideal gas at 238 K in a 6 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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9. 9.

   Physics

   A projectile is launched at 38 m/s at 30° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

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

   View formula →
10. 10.

    Physics

    Find the kinetic energy of a 12 kg object moving at 22 m/s.

    Formula:Kinetic Energy

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

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11. 11.

    Biology

    In a monohybrid cross (Aa × Aa) producing 84 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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12. 12.

    Chemistry

    Find the pressure of 3 mol of an ideal gas at 282 K in a 17 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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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

    An object starts at 1 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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15. 15.

    Chemistry

    How many moles are present in 360 g of glucose (C₆H₁₂O₆) (molar mass = 180 g/mol)?

    Formula:Number of Moles

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

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16. 16.

    Physics

    An object starts at 10 m/s and accelerates at 1 m/s² for 6 s. Find its final velocity.

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

    $v = u + at$

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17. 17.

    Physics

    A body moving at 0 m/s accelerates at 5 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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18. 18.

    Physics

    A force of 816 N acts on an area of 8 m². Find the pressure.

    Formula:Pressure

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

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19. 19.

    Chemistry

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

    Formula:Molarity

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

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20. 20.

    Chemistry

    Find the pressure of 5 mol of an ideal gas at 285 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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