Two forces are acting on an object: a force to the right of 50 N, and a force to the left of 25 N. State the magnitude and direction of the resultant force which is acting on the object.25 N to the right75 N to the left25 N to the left75 N to the right2A ball which weighs 1 N is dropped from rest. At a given point in time, as it falls through the air, the upwards force of air resistance which is acting on the ball is equal to 0.2 N. State the magnitude and direction of the resultant force which is acting on the ball at this point in time. In answering this question, you may assume that no additional forces are acting on the ball.0.8 N upwards1.2 N upwards0.8 N downwards1.2 N downwards3In a tug-o-war competition, Team A pull with a force of 800 N, and Team B, with a force of 1.2 kN. State the magnitude and direction of the resultant of these forces.400 N in the direction of Team B798.8 N in the direction of Team B798.8 N in the direction of Team A400 N in the direction of Team A4A car is free-wheeling down a hill at constant velocity, which means that the resultant force which is acting on it is zero. The downhill component of its weight is equal to 10 kN, and the force of air resistance which is acting is equal to 6 kN. Calculate the total frictional force which is acting on the car. You may assume that no additional forces are acting on it.10 kN4 kN6 kN16 kN
Question
Two forces are acting on an object: a force to the right of 50 N, and a force to the left of 25 N. State the magnitude and direction of the resultant force which is acting on the object.25 N to the right75 N to the left25 N to the left75 N to the right2A ball which weighs 1 N is dropped from rest. At a given point in time, as it falls through the air, the upwards force of air resistance which is acting on the ball is equal to 0.2 N. State the magnitude and direction of the resultant force which is acting on the ball at this point in time. In answering this question, you may assume that no additional forces are acting on the ball.0.8 N upwards1.2 N upwards0.8 N downwards1.2 N downwards3In a tug-o-war competition, Team A pull with a force of 800 N, and Team B, with a force of 1.2 kN. State the magnitude and direction of the resultant of these forces.400 N in the direction of Team B798.8 N in the direction of Team B798.8 N in the direction of Team A400 N in the direction of Team A4A car is free-wheeling down a hill at constant velocity, which means that the resultant force which is acting on it is zero. The downhill component of its weight is equal to 10 kN, and the force of air resistance which is acting is equal to 6 kN. Calculate the total frictional force which is acting on the car. You may assume that no additional forces are acting on it.10 kN4 kN6 kN16 kN
Solution
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The resultant force is calculated by subtracting the smaller force from the larger force. In this case, 50 N (right) - 25 N (left) = 25 N. The direction of the resultant force is the same as the direction of the larger force. So, the resultant force is 25 N to the right.
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The resultant force is calculated by subtracting the force of air resistance from the weight of the ball. In this case, 1 N (weight) - 0.2 N (air resistance) = 0.8 N. The direction of the resultant force is the same as the direction of the weight, which is downwards. So, the resultant force is 0.8 N downwards.
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First, convert the force of Team B to the same units as the force of Team A. 1.2 kN = 1200 N. The resultant force is calculated by subtracting the smaller force from the larger force. In this case, 1200 N (Team B) - 800 N (Team A) = 400 N. The direction of the resultant force is the same as the direction of the larger force. So, the resultant force is 400 N in the direction of Team B.
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Since the car is free-wheeling down a hill at constant velocity, the resultant force acting on it is zero. This means that the sum of the downhill component of its weight and the force of air resistance must be equal to the total frictional force. In this case, 10 kN (weight) + 6 kN (air resistance) = 16 kN. So, the total frictional force acting on the car is 16 kN.
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