View solutions
FormulaWon

A-Level Physics · Practice Sheet 42

Sheet code: A-LEVEL-PHYSICS-S42 · 20 questions

Name: ______________
Date: ______________
  1. 1.
    Mathematics

    For the quadratic 5x² + 4x + 1 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)
    α+β=−ba,  αβ=ca\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}
    View formula →
  2. 2.
    Physics

    Find the density of an object with mass 406 g and volume 8 cm³.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
    View formula →
  3. 3.
    Mathematics

    Find term number 3 of a geometric progression with first term 3 and common ratio 3.

    Formula:GP nth Term
    an=a r n−1a_n = a\,r^{\,n-1}
    View formula →
  4. 4.
    Mathematics

    Find the distance between the points (1, -7) and (6, -3).

    Formula:Distance Between Two Points
    d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}
    View formula →
  5. 5.
    Mathematics

    For the quadratic 2x² + 7x − 3 = 0, find the sum and product of its roots.

    Formula:Vieta's Formulas (roots)
    α+β=−ba,  αβ=ca\alpha+\beta=-\dfrac{b}{a},\;\alpha\beta=\dfrac{c}{a}
    View formula →
  6. 6.
    Mathematics

    In an arithmetic progression with first term 7 and common difference 1, find term number 27.

    Formula:AP nth Term
    an=a+(n−1)da_n = a + (n-1)d
    View formula →
  7. 7.
    Mathematics

    Find the distance between the points (1, -1) and (-2, -1).

    Formula:Distance Between Two Points
    d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}
    View formula →
  8. 8.
    Mathematics

    If f(x) = 2x³ + 5x² + 3x, find f′(4).

    Formula:Derivative of a Polynomial
    ddxxn=n x n−1\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}
    View formula →
  9. 9.
    Physics

    A force of 476 N acts on an area of 21 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
    View formula →
  10. 10.
    Physics

    A body moving at 12 m/s accelerates at 5 m/s² for 3 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)
    s=ut+12at2s = ut + \tfrac{1}{2}at^{2}
    View formula →
  11. 11.
    Mathematics

    Evaluate log base 3 of 81.

    Formula:Logarithm Evaluation
    log⁡b(bk)=k\log_{b}(b^{k}) = k
    View formula →
  12. 12.
    Physics

    If 4,814 J of work is done in 41 s, find the power.

    Formula:Power
    P=WtP = \dfrac{W}{t}
    View formula →
  13. 13.
    Physics

    Find the force required to accelerate a 7 kg mass at 9 m/s².

    Formula:Newton's Second Law (F = ma)
    F=maF = ma
    View formula →
  14. 14.
    Mathematics

    Evaluate ∫ from 1 to 5 of 5x^3 dx.

    Formula:Definite Integral of a Power
    ∫pqaxn dx=an+1[xn+1]pq\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}
    View formula →
  15. 15.
    Physics

    A force of 926 N acts on an area of 20 m². Find the pressure.

    Formula:Pressure
    P=FAP = \dfrac{F}{A}
    View formula →
  16. 16.
    Physics

    Find the force required to accelerate a 11 kg mass at 7 m/s².

    Formula:Newton's Second Law (F = ma)
    F=maF = ma
    View formula →
  17. 17.
    Physics

    A constant force of 134 N moves an object 46 m in the direction of the force. Calculate the work done.

    Formula:Work Done
    W=F dW = F\,d
    View formula →
  18. 18.
    Physics

    Find the density of an object with mass 276 g and volume 41 cm³.

    Formula:Density
    ρ=mV\rho = \dfrac{m}{V}
    View formula →
  19. 19.
    Physics

    If 1,951 J of work is done in 4 s, find the power.

    Formula:Power
    P=WtP = \dfrac{W}{t}
    View formula →
  20. 20.
    Mathematics

    Find term number 7 of a geometric progression with first term 6 and common ratio 2.

    Formula:GP nth Term
    an=a r n−1a_n = a\,r^{\,n-1}
    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.

Go to full solutions for this sheet