Which of the following statements is incorrect?All objects will undergo inelastic deformation if the forces acting on them are large enoughWhen an object is deformed elastically, it will return to its original shape if the forces acting on it are removedEnergy is not required to deform an object elasticallyWhen an object is deformed inelastically, it will not return to its original shape if the forces acting on it are removed2What is meant by the limit of proportionality of a spring?A spring may not be stretched beyond its limit of proportionalityWhen a spring is stretched beyond its limit of proportionality, it will not return to its original shape if the force being applied to it is removedIt is the point beyond which the extension of the spring is no longer proportional to the force applied to itOn an extension-force graph for the spring, it is the point after which the line will become straight3Calculate the force which must be applied to extend a spring of spring constant 10 N/m by 5 cm. You may assume that this force does not cause the spring to exceed its limit of proportionality.0.5 N20 N0.2 N5 N4A spring is initially 30 cm long. When a force of 12 N is applied to it, its length increases to 50 cm. Calculate its spring constant. You may assume that this force does not cause the spring to exceed its limit of proportionality.40 N/m24 N/m60 N/m2.4 N/m5A student is investigating how the force applied to two different springs affects their extension. She plots an extension-force graph for spring A (with extension on the y-axis and force on the x-axis) and obtains a straight line. On the same axes, she plots a second straight line using the data which she obtained for spring B. The gradient (slope) of the line for spring B is lower than that for spring A. What does this tell us about the spring constants of these springs?The spring constant of spring A is equal to that of spring BNothingThe spring constant of spring A is lower than that of spring BThe spring constant of spring A is greater than that of spring B6A spring (of spring constant 20 N/m) is stretched by 5 cm. Calculate the amount of work which must be done in stretching the spring by this amount.0.025 J1 J100 J0.5 J
Question
Which of the following statements is incorrect?All objects will undergo inelastic deformation if the forces acting on them are large enoughWhen an object is deformed elastically, it will return to its original shape if the forces acting on it are removedEnergy is not required to deform an object elasticallyWhen an object is deformed inelastically, it will not return to its original shape if the forces acting on it are removed2What is meant by the limit of proportionality of a spring?A spring may not be stretched beyond its limit of proportionalityWhen a spring is stretched beyond its limit of proportionality, it will not return to its original shape if the force being applied to it is removedIt is the point beyond which the extension of the spring is no longer proportional to the force applied to itOn an extension-force graph for the spring, it is the point after which the line will become straight3Calculate the force which must be applied to extend a spring of spring constant 10 N/m by 5 cm. You may assume that this force does not cause the spring to exceed its limit of proportionality.0.5 N20 N0.2 N5 N4A spring is initially 30 cm long. When a force of 12 N is applied to it, its length increases to 50 cm. Calculate its spring constant. You may assume that this force does not cause the spring to exceed its limit of proportionality.40 N/m24 N/m60 N/m2.4 N/m5A student is investigating how the force applied to two different springs affects their extension. She plots an extension-force graph for spring A (with extension on the y-axis and force on the x-axis) and obtains a straight line. On the same axes, she plots a second straight line using the data which she obtained for spring B. The gradient (slope) of the line for spring B is lower than that for spring A. What does this tell us about the spring constants of these springs?The spring constant of spring A is equal to that of spring BNothingThe spring constant of spring A is lower than that of spring BThe spring constant of spring A is greater than that of spring B6A spring (of spring constant 20 N/m) is stretched by 5 cm. Calculate the amount of work which must be done in stretching the spring by this amount.0.025 J1 J100 J0.5 J
Solution
This seems like a series of physics questions related to the properties of springs and their deformation. Let's go through them one by one:
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The incorrect statement is "Energy is not required to deform an object elastically". Energy is indeed required to deform an object, whether elastically or inelastically.
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The limit of proportionality of a spring is the point beyond which the extension of the spring is no longer proportional to the force applied to it.
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To calculate the force which must be applied to extend a spring of spring constant 10 N/m by 5 cm, we use Hooke's Law (F = kx). Here, k = 10 N/m and x = 5 cm = 0.05 m. So, F = 10 * 0.05 = 0.5 N.
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To calculate the spring constant, we rearrange Hooke's Law to k = F/x. Here, F = 12 N and x = (50 cm - 30 cm) = 20 cm = 0.2 m. So, k = 12 / 0.2 = 60 N/m.
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If the gradient of the line for spring B is lower than that for spring A on an extension-force graph, this means that the spring constant of spring A is greater than that of spring B. The spring constant is the reciprocal of the gradient.
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The amount of work done in stretching the spring by 5 cm can be calculated using the formula W = 0.5 * k * x^2. Here, k = 20 N/m and x = 5 cm = 0.05 m. So, W = 0.5 * 20 * (0.05)^2 = 0.025 J.
Similar Questions
What is meant by the limit of proportionality of a spring?When a spring is stretched beyond its limit of proportionality, it will not return to its original shape if the force being applied to it is removedIt is the point beyond which the extension of the spring is no longer proportional to the force applied to itOn an extension-force graph for the spring, it is the point after which the line will become straightA spring may not be stretched beyond its limit of proportionality
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Which statement about elastic and plastic deformation must be correct?A Elastic deformation and plastic deformation are proportional to the applied force.B Elastic deformation and plastic deformation cause no change in volume.C Elastic deformation causes heating of the material but plastic deformation does not.D Elastic deformation is reversible but plastic deformation is not.
You are watching a YouTube video to prepare for a physics exam. The 'teacher' in the video states that a ball is elastic because it deforms when it collides with a wall or floor. Are they correct? Carefully explain your answer, and include definitions of deformation and elasticity. (b) [7 marks]A 25.0 cm tall spring is compressed by 12 mm when a 1.00 kg mass is placed on it.(i) (1 mark)Determine the spring constant of the spring.(ii) (1 mark)Calculate the elastic potential energy stored in the spring.(iii) (1 mark)Where did the energy stored in the spring 'come from'?(iv) (2 marks)The spring is now placed horizontally on a frictionless surface with one end attached to a wall and a 740 g mass attached to the other end. The mass is given a push to set it oscillating. What is the frequency of oscillation?(v) (2 marks)A pendulum is placed above the mass-spring system and the bob oscillates back and forth exactly in time with the mass. How long is the pendulum?
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