A-Level Physics · Practice Sheet 26

1. 1.

   Mathematics

   Find the slope of the line through (1, -4) and (-7, -4).

   Formula:Slope of a Line

   $m = \dfrac{y_2-y_1}{x_2-x_1}$

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2. 2.

   Physics

   A constant force of 193 N moves an object 23 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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3. 3.

   Physics

   Find the kinetic energy of a 8 kg object moving at 16 m/s.

   Formula:Kinetic Energy

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

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4. 4.

   Physics

   A constant force of 170 N moves an object 5 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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5. 5.

   Mathematics

   Find the sum of the first 6 terms of an AP with first term 13 and common difference 9.

   Formula:AP Sum of n Terms

   $S_n = \dfrac{n}{2}\,[2a+(n-1)d]$

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6. 6.

   Physics

   Find the momentum of a 13 kg body moving at 35 m/s.

   Formula:Linear Momentum

   $p = mv$

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7. 7.

   Mathematics

   Find the sum of the first 4 terms of a GP with first term 3 and common ratio 2.

   Formula:GP Sum of n Terms

   $S_n = a\,\dfrac{r^{n}-1}{r-1}$

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8. 8.

   Mathematics

   Find the sum of the first 22 terms of an AP with first term 15 and common difference 2.

   Formula:AP Sum of n Terms

   $S_n = \dfrac{n}{2}\,[2a+(n-1)d]$

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9. 9.

   Physics

   If 534 J of work is done in 15 s, find the power.

   Formula:Power

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

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10. 10.

    Physics

    Find the voltage across a 19 Ω resistor carrying a current of 10 A.

    Formula:Ohm's Law

    $V = IR$

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11. 11.

    Physics

    Find the kinetic energy of a 11 kg object moving at 22 m/s.

    Formula:Kinetic Energy

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

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12. 12.

    Physics

    An object starts at 18 m/s and accelerates at 9 m/s² for 5 s. Find its final velocity.

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

    $v = u + at$

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13. 13.

    Physics

    Calculate the potential energy of a 8 kg object at a height of 26 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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14. 14.

    Mathematics

    Find term number 4 of a geometric progression with first term 6 and common ratio 2.

    Formula:GP nth Term

    $a_n = a\,r^{\,n-1}$

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15. 15.

    Physics

    An object starts at 19 m/s and accelerates at 6 m/s² for 12 s. Find its final velocity.

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

    $v = u + at$

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16. 16.

    Mathematics

    Find the sum of the first 13 terms of an AP with first term 1 and common difference 8.

    Formula:AP Sum of n Terms

    $S_n = \dfrac{n}{2}\,[2a+(n-1)d]$

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17. 17.

    Mathematics

    Evaluate ∫ from 0 to 4 of 4x^2 dx.

    Formula:Definite Integral of a Power

    $\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$

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18. 18.

    Mathematics

    Find the slope of the line through (-8, 8) and (-1, -8).

    Formula:Slope of a Line

    $m = \dfrac{y_2-y_1}{x_2-x_1}$

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19. 19.

    Physics

    Find the momentum of a 6 kg body moving at 28 m/s.

    Formula:Linear Momentum

    $p = mv$

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20. 20.

    Physics

    If 2,754 J of work is done in 11 s, find the power.

    Formula:Power

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

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