Which of the following statements is incorrect?The moment of a force is the turning effect which it has about a pivotThe moment of a force is measured in newton-metres (Nm)The moment of a force is a scalar quantityThe moment of a force can be calculated by multiplying the force by the perpendicular distance of its line of action from the pivot2A spanner is being used to remove a nut from a car wheel. Calculate the moment exerted when a force of 60 N is applied a distance of 30 cm from the centre of the nut.2 Nm200 Nm1800 Nm18 Nm3John (who weighs 700 N) and Abena (who weighs 600 N) are sitting on opposite sides of a see-saw. If John is sitting 2 metres from the pivot, how far from the pivot must Abena sit for the see-saw to be in equilibrium?3 m2.33 m0.43 m1.71 m4When a man pushes the handle of a door with a force of 10 N, he exerts a moment of 8 Nm about its hinges. Calculate the distance from the handle of the door to its hinges.0.8 m1.25 m1 m80 m5What does the Principle of Moments state?When an object is in (rotational) equilibrium, the sum of the clockwise moments about any pivot is less than the sum of the anticlockwise momentsWhen an object is in (rotational) equilibrium, the moments which are acting on it must be in one direction only (clockwise or anticlockwise)When an object is in (rotational) equilibrium, the sum of the clockwise moments about any pivot is greater than the sum of the anticlockwise momentsWhen an object is in (rotational) equilibrium, the sum of the clockwise moments about any pivot is equal to the sum of the anticlockwise moments6In a ‘Strongest Person in the World’ competition, a competitor is using a lever to lift a car. The pivot on which the lever is resting is 20 cm from the point on the car at which a force is being exerted, and 2 metres from the point at which the competitor is applying a force of 1 kN. Calculate the force which they exert on the car.10,000 N1,000 N100 N5 N
Question
Which of the following statements is incorrect?The moment of a force is the turning effect which it has about a pivotThe moment of a force is measured in newton-metres (Nm)The moment of a force is a scalar quantityThe moment of a force can be calculated by multiplying the force by the perpendicular distance of its line of action from the pivot2A spanner is being used to remove a nut from a car wheel. Calculate the moment exerted when a force of 60 N is applied a distance of 30 cm from the centre of the nut.2 Nm200 Nm1800 Nm18 Nm3John (who weighs 700 N) and Abena (who weighs 600 N) are sitting on opposite sides of a see-saw. If John is sitting 2 metres from the pivot, how far from the pivot must Abena sit for the see-saw to be in equilibrium?3 m2.33 m0.43 m1.71 m4When a man pushes the handle of a door with a force of 10 N, he exerts a moment of 8 Nm about its hinges. Calculate the distance from the handle of the door to its hinges.0.8 m1.25 m1 m80 m5What does the Principle of Moments state?When an object is in (rotational) equilibrium, the sum of the clockwise moments about any pivot is less than the sum of the anticlockwise momentsWhen an object is in (rotational) equilibrium, the moments which are acting on it must be in one direction only (clockwise or anticlockwise)When an object is in (rotational) equilibrium, the sum of the clockwise moments about any pivot is greater than the sum of the anticlockwise momentsWhen an object is in (rotational) equilibrium, the sum of the clockwise moments about any pivot is equal to the sum of the anticlockwise moments6In a ‘Strongest Person in the World’ competition, a competitor is using a lever to lift a car. The pivot on which the lever is resting is 20 cm from the point on the car at which a force is being exerted, and 2 metres from the point at which the competitor is applying a force of 1 kN. Calculate the force which they exert on the car.10,000 N1,000 N100 N5 N
Solution
Sure, I can do that. Here are the answers to your questions:
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The incorrect statement is "The moment of a force is a scalar quantity". The moment of a force is actually a vector quantity.
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The moment exerted when a force of 60 N is applied a distance of 30 cm from the centre of the nut is calculated as follows: Moment = Force x Distance = 60 N x 0.3 m = 18 Nm. So, the correct answer is 18 Nm.
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For the see-saw to be in equilibrium, the moments on either side of the pivot must be equal. So, 700 N x 2 m = 600 N x distance. Solving for distance gives 2.33 m. So, Abena must sit 2.33 m from the pivot.
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The distance from the handle of the door to its hinges is calculated as follows: Distance = Moment / Force = 8 Nm / 10 N = 0.8 m. So, the correct answer is 0.8 m.
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The Principle of Moments states that "When an object is in (rotational) equilibrium, the sum of the clockwise moments about any pivot is equal to the sum of the anticlockwise moments".
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The force which the competitor exerts on the car is calculated as follows: Force = Moment / Distance = 1 kN x 2 m / 0.2 m = 10,000 N. So, the correct answer is 10,000 N.
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