MCAT · Practice Sheet 48

1. 1.

   Physics

   A body moving at 3 m/s accelerates at 4 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

   Find the voltage across a 4 Ω resistor carrying a current of 6 A.

   Formula:Ohm's Law

   $V = IR$

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3. 3.

   Physics

   Find the electrical power when 139 V drives a current of 13 A.

   Formula:Electrical Power

   $P = VI$

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4. 4.

   Biology

   Calculate the BMI of a person weighing 74 kg with height 1.79 m.

   Formula:Body Mass Index

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

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5. 5.

   Physics

   Find the electrical power when 174 V drives a current of 3 A.

   Formula:Electrical Power

   $P = VI$

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6. 6.

   Physics

   If 338 J of work is done in 20 s, find the power.

   Formula:Power

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

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7. 7.

   Physics

   Find the voltage across a 30 Ω resistor carrying a current of 20 A.

   Formula:Ohm's Law

   $V = IR$

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8. 8.

   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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9. 9.

   Physics

   Find the voltage across a 2 Ω resistor carrying a current of 11 A.

   Formula:Ohm's Law

   $V = IR$

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10. 10.

    Physics

    A force of 862 N acts on an area of 13 m². Find the pressure.

    Formula:Pressure

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

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11. 11.

    Physics

    Find the momentum of a 47 kg body moving at 14 m/s.

    Formula:Linear Momentum

    $p = mv$

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12. 12.

    Physics

    Calculate the potential energy of a 38 kg object at a height of 35 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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13. 13.

    Chemistry

    A solution is made by dissolving 6 g of solute in 152 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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14. 14.

    Physics

    A constant force of 19 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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15. 15.

    Biology

    Under a microscope, an object of actual size 3 mm appears 180 mm. Find the magnification.

    Formula:Microscope Magnification

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

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16. 16.

    Chemistry

    Find the pressure of 3 mol of an ideal gas at 392 K in a 17 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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17. 17.

    Physics

    Calculate the potential energy of a 1 kg object at a height of 23 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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18. 18.

    Physics

    Find the electrical power when 222 V drives a current of 5 A.

    Formula:Electrical Power

    $P = VI$

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19. 19.

    Physics

    Find the kinetic energy of a 15 kg object moving at 18 m/s.

    Formula:Kinetic Energy

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

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20. 20.

    Physics

    Find the electrical power when 125 V drives a current of 6 A.

    Formula:Electrical Power

    $P = VI$

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