MCAT · Practice Sheet 2

1. 1.

   Physics

   A body moving at 4 m/s accelerates at 5 m/s² for 4 s. Find the distance travelled.

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

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

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2. 2.

   Physics

   A projectile is launched at 16 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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3. 3.

   Physics

   Find the voltage across a 14 Ω resistor carrying a current of 4 A.

   Formula:Ohm's Law

   $V = IR$

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4. 4.

   Chemistry

   Find the pressure of 5 mol of an ideal gas at 247 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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5. 5.

   Physics

   A body moving at 13 m/s accelerates at 1 m/s² for 3 s. Find the distance travelled.

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

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

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6. 6.

   Physics

   Find the electrical power when 52 V drives a current of 13 A.

   Formula:Electrical Power

   $P = VI$

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7. 7.

   Chemistry

   A solution is made by dissolving 16 g of solute in 69 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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8. 8.

   Biology

   Calculate the BMI of a person weighing 82 kg with height 1.51 m.

   Formula:Body Mass Index

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

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9. 9.

   Physics

   If 4,196 J of work is done in 45 s, find the power.

   Formula:Power

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

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10. 10.

    Chemistry

    How many moles are present in 54 g of water (H₂O) (molar mass = 18 g/mol)?

    Formula:Number of Moles

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

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11. 11.

    Physics

    A force of 236 N acts on an area of 12 m². Find the pressure.

    Formula:Pressure

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

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12. 12.

    Physics

    An object starts at 2 m/s and accelerates at 8 m/s² for 12 s. Find its final velocity.

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

    $v = u + at$

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13. 13.

    Biology

    Under a microscope, an object of actual size 1.5 mm appears 40.5 mm. Find the magnification.

    Formula:Microscope Magnification

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

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14. 14.

    Physics

    Find the momentum of a 16 kg body moving at 13 m/s.

    Formula:Linear Momentum

    $p = mv$

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15. 15.

    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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16. 16.

    Physics

    Find the momentum of a 8 kg body moving at 29 m/s.

    Formula:Linear Momentum

    $p = mv$

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17. 17.

    Chemistry

    How many moles are present in 292.5 g of sodium chloride (NaCl) (molar mass = 58.5 g/mol)?

    Formula:Number of Moles

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

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18. 18.

    Physics

    Find the kinetic energy of a 1 kg object moving at 15 m/s.

    Formula:Kinetic Energy

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

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19. 19.

    Chemistry

    How many moles are present in 900 g of glucose (C₆H₁₂O₆) (molar mass = 180 g/mol)?

    Formula:Number of Moles

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

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20. 20.

    Biology

    Under a microscope, an object of actual size 4.7 mm appears 216.2 mm. Find the magnification.

    Formula:Microscope Magnification

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

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