MCAT · Practice Sheet 43

1. 1.

   Physics

   Find the voltage across a 29 Ω resistor carrying a current of 6 A.

   Formula:Ohm's Law

   $V = IR$

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2. 2.

   Physics

   A projectile is launched at 13 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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3. 3.

   Physics

   An object starts at 13 m/s and accelerates at 5 m/s² for 3 s. Find its final velocity.

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

   $v = u + at$

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4. 4.

   Chemistry

   Find the pH of a solution with [H⁺] = 1×10⁻4 mol/L.

   Formula:pH of a Solution

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

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5. 5.

   Chemistry

   A solution is made by dissolving 45 g of solute in 134 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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6. 6.

   Chemistry

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

   Formula:Number of Moles

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

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7. 7.

   Chemistry

   Find the molarity of a solution containing 1.5 mol of solute in 1 L of solution.

   Formula:Molarity

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

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8. 8.

   Chemistry

   89 mL of a 10 M solution is diluted to 355 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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9. 9.

   Chemistry

   How many moles are present in 64 g of oxygen gas (O₂) (molar mass = 32 g/mol)?

   Formula:Number of Moles

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

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10. 10.

    Physics

    Find the electrical power when 13 V drives a current of 20 A.

    Formula:Electrical Power

    $P = VI$

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11. 11.

    Chemistry

    Find the pressure of 3 mol of an ideal gas at 368 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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12. 12.

    Physics

    If 2,844 J of work is done in 4 s, find the power.

    Formula:Power

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

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13. 13.

    Biology

    Under a microscope, an object of actual size 3.8 mm appears 95 mm. Find the magnification.

    Formula:Microscope Magnification

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

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14. 14.

    Physics

    A projectile is launched at 36 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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15. 15.

    Physics

    Find the electrical power when 181 V drives a current of 4 A.

    Formula:Electrical Power

    $P = VI$

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16. 16.

    Chemistry

    How many moles are present in 64 g of oxygen gas (O₂) (molar mass = 32 g/mol)?

    Formula:Number of Moles

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

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17. 17.

    Physics

    Find the momentum of a 16 kg body moving at 14 m/s.

    Formula:Linear Momentum

    $p = mv$

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18. 18.

    Biology

    Calculate the BMI of a person weighing 57 kg with height 1.86 m.

    Formula:Body Mass Index

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

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19. 19.

    Physics

    An object starts at 12 m/s and accelerates at 7 m/s² for 3 s. Find its final velocity.

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

    $v = u + at$

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20. 20.

    Physics

    Find the voltage across a 20 Ω resistor carrying a current of 10 A.

    Formula:Ohm's Law

    $V = IR$

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