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Simple Engineering Formulae Problems

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

Find the value of the Force F (N) in the formula F = m ×aF\ =\ m\ \times a when m = 45 kg and a = 1.5 ms-2. Just write the value you have obtained; do not state the SI units.

(a)  

2.

Find the value of the Velocity v (ms-1) in the formula v = u + (a × t)v\ =\ u\ +\ \left(a\ \times\ t\right) when u = 3.5 ms-1, a = 2.25 ms-2 and t = 15 s. State your answer to 3 significant figures. Just write the value you have obtained; do not state the SI units.

(a)  

3.

Find the value of the Distance s (m) in the formula s =12(u+v)ts\ =\frac{1}{2}\left(u+v\right)t  when v = 25 ms-1, u = 4 ms-1 and t = 12 s. Just write the value you have obtained; do not state the SI units.

(a)  

4.

Find the value of the Power P (W) in the formula P =V2÷RP\ =V^2\div R when V = 120 V and R = 30 Ω. Just write the value you have obtained; do not state the SI units.

(a)  

5.

Find the total momentum p (kgms-1) in a system of two objects using the formula p =m1×v1+m2×v2p\ =m_1\times v_1+m_2\times v_2 when m1 = 5.65 kg, m2 = 4.20 kg, v1 = 12 ms-1 and v2 = 3.2 ms-1. State your answer to one decimal place. Just write the value you have obtained; do not state the SI units.

(a)  

6.

Find the value of the Work Done W (J) in the formula W = F ×sW\ =\ F\ \times s when F = 6 kN and s = 2 km. State your answer in engineering form (use the ^ symbol in your answer for the indice). Just write the value you have obtained; do not state the SI units.

(a)  

7.

Find the value of the Energy E (J) in the formula E =12×C×V2E\ =\frac{1}{2}\times C\times V^2 when C = 1.2 C and V = 50 V. State your answer in engineering form (use the ^ symbol in your answer for the indice). Just write the value you have obtained; do not state the SI units.

(a)  

8.

Find the value of the Reactance XC (Ω) in the formula XC =12πfCX_C\ =\frac{1}{2\pi fC}^{ } when π = 3.142, f = 90 Hz and C = 220 x 10-6 F. State your answer to 2 decimal places. Just write the value you have obtained; do not state the SI units.

(a)  

9.

Find the value of the Distance s (m) in the formula s =ut +12at2s\ =ut\ +\frac{1}{2}at^2 when u = 3.5 ms-1, a = 0.55 ms-2 and t = 11 s. State your answer to 2 significant figures. Just write the value you have obtained; do not state the SI units.

(a)  

10.

Find the value of the Final Velocity v (ms-1) in the formula v =u2 +2asv\ =\sqrt[]{u^2\ +2as} when u = 3.5 ms-1, a = 0.95 ms-2 and s = 24 s. State your answer to 3 significant figures. Just write the value you have obtained; do not state the SI units.

(a)