Two forces are acting on an object: a force to the right of 100 N, and a force to the left of 50 N. State the magnitude and direction of the resultant force which is acting on the object.50 N to the left150 N to the right50 N to the right150 N to the left2A ball which weighs 2 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 0.5 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.0.5 N upwards1.5 N downwards2 N downwards1.5 N upwards3In a tug-o-war competition, Team A pull with a force of 900 N, and Team B, with a force of 1.1 kN. State the magnitude and direction of the resultant of these forces.200 N in the direction of Team A898.9 N in the direction of Team A898.9 N in the direction of Team B200 N in the direction of Team B4A 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 kN16 kN4 kN6 kN5Pauline is pulling a wheeled suitcase through an airport with a force of 200 N which is acting at an angle of 30° to the horizontal. What will the horizontal component of this force be?Greater than 200 NEqual to 200 NIt is impossible to sayLess than 200 N6The three forces which are acting on an object are in equilibrium with one another. A student draws a vector diagram to represent these forces. In it, she connects the vectors so that they are pointing nose-to-tail. What will this vector diagram look like?An open triangle (one in which the ends of two of the lines do not meet)A line which is made up of three vectors of equal lengthA rectangle which is missing one sideA closed triangle
Question
Two forces are acting on an object: a force to the right of 100 N, and a force to the left of 50 N. State the magnitude and direction of the resultant force which is acting on the object.50 N to the left150 N to the right50 N to the right150 N to the left2A ball which weighs 2 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 0.5 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.0.5 N upwards1.5 N downwards2 N downwards1.5 N upwards3In a tug-o-war competition, Team A pull with a force of 900 N, and Team B, with a force of 1.1 kN. State the magnitude and direction of the resultant of these forces.200 N in the direction of Team A898.9 N in the direction of Team A898.9 N in the direction of Team B200 N in the direction of Team B4A 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 kN16 kN4 kN6 kN5Pauline is pulling a wheeled suitcase through an airport with a force of 200 N which is acting at an angle of 30° to the horizontal. What will the horizontal component of this force be?Greater than 200 NEqual to 200 NIt is impossible to sayLess than 200 N6The three forces which are acting on an object are in equilibrium with one another. A student draws a vector diagram to represent these forces. In it, she connects the vectors so that they are pointing nose-to-tail. What will this vector diagram look like?An open triangle (one in which the ends of two of the lines do not meet)A line which is made up of three vectors of equal lengthA rectangle which is missing one sideA closed triangle
Solution
The text you provided is a series of multiple choice questions related to physics, specifically forces and vectors. Here are the answers:
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The resultant force is the difference between the two forces since they are acting in opposite directions. So, 100 N (right) - 50 N (left) = 50 N to the right.
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The resultant force on the ball is the difference between the weight of the ball and the upward force of air resistance. So, 2 N (downwards) - 0.5 N (upwards) = 1.5 N downwards.
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In this case, we need to convert the force of Team B to the same units as Team A. 1.1 kN = 1100 N. The resultant force is the difference between the two forces, so 1100 N (Team B) - 900 N (Team A) = 200 N in the direction of Team B.
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Since the car is free-wheeling at a constant velocity, the resultant force acting on it is zero. This means the downhill component of its weight and the force of air resistance must be balanced by the frictional force. So, 10 kN (downhill weight) - 6 kN (air resistance) = 4 kN of frictional force.
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The horizontal component of a force can be calculated using trigonometry. In this case, the horizontal component is equal to the force (200 N) multiplied by the cosine of the angle (30°). This will be less than 200 N.
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If the forces are in equilibrium and the vectors are connected nose-to-tail, the vector diagram will look like a closed triangle. This is because the sum of the forces is zero, which means the resultant vector (from the start of the first vector to the end of the last vector) is also zero.
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