MCAT · Practice Sheet 28

1. 1.

   Physics

   An object starts at 0 m/s and accelerates at 4 m/s² for 7 s. Find its final velocity.

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

   $v = u + at$

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2. 2.

   Physics

   A body moving at 7 m/s accelerates at 7 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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3. 3.

   Physics

   Find the density of an object with mass 445 g and volume 13 cm³.

   Formula:Density

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

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4. 4.

   Physics

   A projectile is launched at 25 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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5. 5.

   Chemistry

   Find the pressure of 1 mol of an ideal gas at 282 K in a 13 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

   Formula:Ideal Gas Law

   $PV = nRT$

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6. 6.

   Physics

   Find the electrical power when 175 V drives a current of 10 A.

   Formula:Electrical Power

   $P = VI$

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7. 7.

   Physics

   Find the momentum of a 8 kg body moving at 26 m/s.

   Formula:Linear Momentum

   $p = mv$

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8. 8.

   Physics

   Find the density of an object with mass 308 g and volume 17 cm³.

   Formula:Density

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

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9. 9.

   Chemistry

   A solution is made by dissolving 22 g of solute in 196 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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10. 10.

    Physics

    Find the density of an object with mass 354 g and volume 36 cm³.

    Formula:Density

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

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11. 11.

    Physics

    A force of 943 N acts on an area of 33 m². Find the pressure.

    Formula:Pressure

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

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12. 12.

    Chemistry

    Find the molarity of a solution containing 2.5 mol of solute in 4 L of solution.

    Formula:Molarity

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

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13. 13.

    Biology

    Calculate the BMI of a person weighing 72 kg with height 1.88 m.

    Formula:Body Mass Index

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

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14. 14.

    Physics

    An object starts at 19 m/s and accelerates at 3 m/s² for 7 s. Find its final velocity.

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

    $v = u + at$

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15. 15.

    Physics

    A body moving at 10 m/s accelerates at 2 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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16. 16.

    Physics

    Find the voltage across a 43 Ω resistor carrying a current of 6 A.

    Formula:Ohm's Law

    $V = IR$

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17. 17.

    Physics

    Find the density of an object with mass 454 g and volume 14 cm³.

    Formula:Density

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

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18. 18.

    Chemistry

    Find the pressure of 4 mol of an ideal gas at 213 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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19. 19.

    Chemistry

    Find the pH of a solution with [H⁺] = 2×10⁻2 mol/L.

    Formula:pH of a Solution

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

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20. 20.

    Chemistry

    82 mL of a 2 M solution is diluted to 187 mL. Find the new concentration.

    Formula:Dilution

    $M_1V_1 = M_2V_2$

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