Question 1A force (15i - 16j + 27k)N is added to a force (23j - 40k)N. What is the magnitude of the resultant? A.17NB.28NC.63ND.21NObjective Show full explanation
Question 2Which of the following statements is /are correct about an object in equilibrium Under parallel forces? I. The total force in one direction equals the total force in the opposite direction II. The body must not rotate III. The resolved components along the x-axis equals the resolved components along the y-axis. A.I and II onlyB.I, II and IIIC.II and III onlyD.I and III onlyObjective Show full explanation
Question 3A car moving with a speed of 90km/h was brought to rest in 10 s by the application of the brakes. How far did the car travel after the brakes were appliedA.150mB.15mC.250mD.125mObjective Show full explanation
Question 4A metre rule is found to balance at the 48cm mark. When a body of mass 60g is suspended at the 6cm mark. the balance point is found to be at the 30cm mark. Find the mass of the metre rule. A.60gB.360gC.80gD.180gObjective Show full explanation
Question 5A ball of mass 0.1kg moving horizontal velocity of 15m/s is hot into a wooden block of mass 0.4kg lying at rest on a smooth horizontal surface. Find their common velocity after impact.A.15.0 m/sB.3.8m/sC.7.5m/sD.3.0m/sObjective Show full explanation
Question 6A body of mass 2kg moves with a velocity of 10m/s. Neglecting air resistance, determine the kinetic energy of the body.A.200NB.200JC.100JD.100NObjective Show full explanation
Question 7Three forces of magnitude 15N, 10N and 5N act on a particle in the direction which make 120° with one another. Find the resultant and the angle the resultant makes with the x-axis. A.8.66N, 30°B.4.33N. 60°C.7.4N, 45°D.2.52N, 60°Objective Show full explanation
Question 8Which of the following statements best defines a couple? A.Two parallel and opposite forces acting on one anotherB.Two equal forces acting in the same directionC.Two parallel and opposite forces acting on a body whose lines of action do not coincideD.None of the above.Objective Show full explanation
Question 9A force F = (5i + 3j)N acts on a body and causes a displacement r = (7i - j)m. Determine the work done. A.53JB.32JC.35JD.21J.Objective Show full explanation
Question 10A force of 0.6N acts on a body of mass 40g, initially at rest. What is the resulting acceleration? A.35m/s2B.40m/s2C.15m/s2D.25m/s2 Objective Show full explanation
Question 11Which of the following statements is not correct about stable equilibrium? A.the body returns to its ortgl position when it is slightly displacement and releasedB.a slight displacement raises its centre ofgnivityC.a slight displacement lowers the centre of gravityD.a slight displacement does not raise or lower its centre of gravityObjective Show full explanation
Question 12A body is projected vertically upwards with a velocity of 9.78m/s. How high does it travel before it comes to rest momentarily at the top of it's motion? (g = 9.78m/a2) A.2.45mB.4.89mC.6.89mD.9.78mObjective Show full explanation
Question 13Calculate the time taken for a car to cover a distance of 125m if the initial speed is 5m/s and it has a constant acceleration of 1m/s2A.8sB.10sC.15sD.12sObjective Show full explanation
Question 14Calculate the braking force to bring a body of mass 1 kg to rest from 25m/s on a Level ground in 60m with uniform retardation. A.5.2NB.5.5NC.5.6ND.5.0NObjective Show full explanation
Question 15A drop hammer is lifted to a height of 50m above the ground and then allowed to fall from rest on to a forging at ground level. Calculate the downward velocity of the hammer when it strikes the forging. (g = 10m/s2). A.10.95m/sB.25.8m/sC.31.6m/sD.35.5m/sObjective Show full explanation
Question 16A uniform rod of weight 10N is balanced at A is removed to point 30cm from A. What force must be applied at A to balance the rod horizontally? A.25NB.10NC.30ND.10NObjective Show full explanation
Question 17An equilateral triangular lamina has each side equal to 50cm. How far is the centre of gravity from each vertex? A.34.64cmB.33.3cmC.28.9cmD.36.9cmObjective Show full explanation
Question 18A man can row a boat at 13 m/s in still water. If he aims at crossing to the opposite bank of a river flowing at 5m/s, at what angle to the bank of the river must he row the boat? A.67.4°B.21°C.56.8°D.22.6°Objective Show full explanation
Question 19The lower and upper fixed points of a thermometer are 30mm and 180mm respectively. Calculate the temperature in degrees celsius when the thermometer reads 45mm. A.10.0°CB.15.0°CC.20.0°CD.30.0°CObjective Show full explanation
Question 20An immersion heater rated 400W, 220V is used to heat a liquid ofm ass 0.5kg. If the temperature of the liquid increases uniformly at the rate ot 2.5°C. Calculate the specific heat capacity of the liquid assuming no heat loss.A.1100J/kgKB.320J/kgKC.200J/kg KD.176J/kg KObjective Show full explanation