MCAT · Practice Sheet 18

1. 1.

   Physics

   An object starts at 17 m/s and accelerates at 5 m/s² for 4 s. Find its final velocity.

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

   $v = u + at$

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2. 2.

   Biology

   Under a microscope, an object of actual size 3.3 mm appears 287.1 mm. Find the magnification.

   Formula:Microscope Magnification

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

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3. 3.

   Chemistry

   55 mL of a 1 M solution is diluted to 107 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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4. 4.

   Chemistry

   Find the molarity of a solution containing 1.5 mol of solute in 2.5 L of solution.

   Formula:Molarity

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

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5. 5.

   Physics

   Find the density of an object with mass 91 g and volume 29 cm³.

   Formula:Density

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

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6. 6.

   Physics

   A projectile is launched at 23 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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7. 7.

   Physics

   If 2,762 J of work is done in 11 s, find the power.

   Formula:Power

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

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8. 8.

   Chemistry

   A solution is made by dissolving 7 g of solute in 173 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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9. 9.

   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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10. 10.

    Physics

    A constant force of 148 N moves an object 50 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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11. 11.

    Physics

    Find the voltage across a 37 Ω resistor carrying a current of 12 A.

    Formula:Ohm's Law

    $V = IR$

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12. 12.

    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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13. 13.

    Physics

    If 3,211 J of work is done in 20 s, find the power.

    Formula:Power

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

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14. 14.

    Physics

    Find the momentum of a 38 kg body moving at 13 m/s.

    Formula:Linear Momentum

    $p = mv$

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15. 15.

    Physics

    Find the kinetic energy of a 13 kg object moving at 10 m/s.

    Formula:Kinetic Energy

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

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16. 16.

    Physics

    If 4,770 J of work is done in 20 s, find the power.

    Formula:Power

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

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17. 17.

    Biology

    Under a microscope, an object of actual size 4.2 mm appears 344.4 mm. Find the magnification.

    Formula:Microscope Magnification

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

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18. 18.

    Physics

    Find the kinetic energy of a 9 kg object moving at 22 m/s.

    Formula:Kinetic Energy

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

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19. 19.

    Physics

    Find the voltage across a 28 Ω resistor carrying a current of 4 A.

    Formula:Ohm's Law

    $V = IR$

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20. 20.

    Physics

    Calculate the potential energy of a 36 kg object at a height of 17 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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