MCAT · Practice Sheet 14

1. 1.

   Physics

   A force of 979 N acts on an area of 39 m². Find the pressure.

   Formula:Pressure

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

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2. 2.

   Physics

   Find the electrical power when 97 V drives a current of 13 A.

   Formula:Electrical Power

   $P = VI$

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3. 3.

   Physics

   If 960 J of work is done in 28 s, find the power.

   Formula:Power

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

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4. 4.

   Chemistry

   Find the pH of a solution with [H⁺] = 5×10⁻4 mol/L.

   Formula:pH of a Solution

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

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5. 5.

   Physics

   A body moving at 6 m/s accelerates at 1 m/s² for 10 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

   A projectile is launched at 50 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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7. 7.

   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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8. 8.

   Physics

   Find the voltage across a 25 Ω resistor carrying a current of 12 A.

   Formula:Ohm's Law

   $V = IR$

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9. 9.

   Physics

   An object starts at 6 m/s and accelerates at 8 m/s² for 10 s. Find its final velocity.

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

   $v = u + at$

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10. 10.

    Physics

    If 219 J of work is done in 24 s, find the power.

    Formula:Power

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

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11. 11.

    Biology

    Calculate the BMI of a person weighing 54 kg with height 1.78 m.

    Formula:Body Mass Index

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

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12. 12.

    Physics

    Find the density of an object with mass 223 g and volume 36 cm³.

    Formula:Density

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

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13. 13.

    Physics

    If 1,117 J of work is done in 34 s, find the power.

    Formula:Power

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

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14. 14.

    Physics

    A constant force of 133 N moves an object 16 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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15. 15.

    Chemistry

    A solution is made by dissolving 5 g of solute in 101 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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16. 16.

    Physics

    A constant force of 113 N moves an object 15 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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17. 17.

    Physics

    If 191 J of work is done in 7 s, find the power.

    Formula:Power

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

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18. 18.

    Chemistry

    How many moles are present in 270 g of glucose (C₆H₁₂O₆) (molar mass = 180 g/mol)?

    Formula:Number of Moles

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

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19. 19.

    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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20. 20.

    Physics

    An object starts at 12 m/s and accelerates at 9 m/s² for 8 s. Find its final velocity.

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

    $v = u + at$

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