Engineering Entrance · Practice Sheet 43

1. 1.

   Physics

   Find the momentum of a 17 kg body moving at 19 m/s.

   Formula:Linear Momentum

   $p = mv$

   View formula →
2. 2.

   Mathematics

   In an arithmetic progression with first term 7 and common difference 9, find term number 12.

   Formula:AP nth Term

   $a_n = a + (n-1)d$

   View formula →
3. 3.

   Physics

   Find the density of an object with mass 152 g and volume 17 cm³.

   Formula:Density

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

   View formula →
4. 4.

   Physics

   Find the force required to accelerate a 29 kg mass at 19 m/s².

   Formula:Newton's Second Law (F = ma)

   $F = ma$

   View formula →
5. 5.

   Physics

   An object starts at 6 m/s and accelerates at 3 m/s² for 10 s. Find its final velocity.

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

   $v = u + at$

   View formula →
6. 6.

   Chemistry

   A solution is made by dissolving 27 g of solute in 176 g of solvent. Find the mass percentage of the solute.

   Formula:Mass Percentage

   $\%\,\text{mass} = \dfrac{\text{solute}}{\text{solution}}\times 100$

   View formula →
7. 7.

   Physics

   Find the density of an object with mass 20 g and volume 13 cm³.

   Formula:Density

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

   View formula →
8. 8.

   Physics

   Find the voltage across a 18 Ω resistor carrying a current of 13 A.

   Formula:Ohm's Law

   $V = IR$

   View formula →
9. 9.

   Mathematics

   If f(x) = 5x³ + 1x² + 3x, find f′(5).

   Formula:Derivative of a Polynomial

   $\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$

   View formula →
10. 10.

    Physics

    Find the momentum of a 34 kg body moving at 9 m/s.

    Formula:Linear Momentum

    $p = mv$

    View formula →
11. 11.

    Mathematics

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

    Formula:GP Sum of n Terms

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

    View formula →
12. 12.

    Physics

    A body moving at 3 m/s accelerates at 5 m/s² for 4 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)

    $s = ut + \tfrac{1}{2}at^{2}$

    View formula →
13. 13.

    Mathematics

    Evaluate ∫ from 1 to 5 of 4x^3 dx.

    Formula:Definite Integral of a Power

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

    View formula →
14. 14.

    Physics

    Find the momentum of a 10 kg body moving at 22 m/s.

    Formula:Linear Momentum

    $p = mv$

    View formula →
15. 15.

    Mathematics

    Find the sum of the first 3 terms of a GP with first term 6 and common ratio 2.

    Formula:GP Sum of n Terms

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

    View formula →
16. 16.

    Mathematics

    Find the slope of the line through (5, 8) and (-7, 3).

    Formula:Slope of a Line

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

    View formula →
17. 17.

    Mathematics

    Evaluate log base 5 of 625.

    Formula:Logarithm Evaluation

    $\log_{b}(b^{k}) = k$

    View formula →
18. 18.

    Physics

    A constant force of 95 N moves an object 43 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

    View formula →
19. 19.

    Mathematics

    In an arithmetic progression with first term 16 and common difference 2, find term number 20.

    Formula:AP nth Term

    $a_n = a + (n-1)d$

    View formula →
20. 20.

    Mathematics

    Find the slope of the line through (5, 8) and (-5, 1).

    Formula:Slope of a Line

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

    View formula →

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