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A-Level Physics · Practice Sheet 19

Sheet code: A-LEVEL-PHYSICS-S19 · 20 questions

Name: ______________

Date: ______________

1.
Physics
Find the voltage across a 22 Ω resistor carrying a current of 11 A.
Formula:Ohm's Law
$V = IR$
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2.
Physics
A constant force of 36 N moves an object 38 m in the direction of the force. Calculate the work done.
Formula:Work Done
$W = F\,d$
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3.
Physics
Calculate the potential energy of a 25 kg object at a height of 44 m (g = 9.8 m/s²).
Formula:Gravitational Potential Energy
$PE = mgh$
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4.
Mathematics
Evaluate ∫ from 1 to 5 of 3x^1 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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5.
Mathematics
Find the slope of the line through (-8, -8) and (0, 1).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
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6.
Physics
Find the voltage across a 34 Ω resistor carrying a current of 19 A.
Formula:Ohm's Law
$V = IR$
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7.
Mathematics
Find the binomial coefficient C(8, 4) — the coefficient of x^4 in (1 + x)^8.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
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8.
Physics
If 1,740 J of work is done in 28 s, find the power.
Formula:Power
$P = \dfrac{W}{t}$
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9.
Physics
Find the electrical power when 77 V drives a current of 7 A.
Formula:Electrical Power
$P = VI$
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10.
Physics
An object starts at 12 m/s and accelerates at 8 m/s² for 3 s. Find its final velocity.
Formula:Equation of Motion (v = u + at)
$v = u + at$
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11.
Mathematics
Find the slope of the line through (7, -2) and (-3, 3).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
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12.
Physics
Find the voltage across a 19 Ω resistor carrying a current of 2 A.
Formula:Ohm's Law
$V = IR$
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13.
Mathematics
Find term number 3 of a geometric progression with first term 3 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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14.
Mathematics
Find the binomial coefficient C(5, 3) — the coefficient of x^3 in (1 + x)^5.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
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15.
Physics
An object starts at 5 m/s and accelerates at 1 m/s² for 3 s. Find its final velocity.
Formula:Equation of Motion (v = u + at)
$v = u + at$
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16.
Physics
A constant force of 143 N moves an object 50 m in the direction of the force. Calculate the work done.
Formula:Work Done
$W = F\,d$
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17.
Physics
Find the electrical power when 42 V drives a current of 13 A.
Formula:Electrical Power
$P = VI$
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18.
Physics
Find the momentum of a 17 kg body moving at 12 m/s.
Formula:Linear Momentum
$p = mv$
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19.
Mathematics
Find term number 3 of a geometric progression with first term 1 and common ratio 2.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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20.
Mathematics
If f(x) = 1x³ + 4x² + 2x, find f′(1).
Formula:Derivative of a Polynomial
$\dfrac{d}{dx}x^{n} = n\,x^{\,n-1}$
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