Consider supporting us on Patreon. Help us keep revisedeck free.
6. Deformation of solids
A section of Physics, 9702
Listing 10 of 301 questions
A metal ball of mass 40 g falls vertically onto a spring, as shown in . spring metal ball spring support (not to scale) The spring is supported and stands vertically. The ball has a speed of 2.8 m s−1 as it makes contact with the spring. The ball is brought to rest as the spring is compressed. Show that the kinetic energy of the ball as it makes contact with the spring is 0.16 J. The variation of the force F acting on the spring with the compression x of the spring is shown in . x XB F / N The ball produces a maximum compression XB when it comes to rest. The spring has a spring constant of 800 N m−1. Use to calculate the compression XB, XB = m show that not all the kinetic energy in is converted into elastic potential energy in the spring.
9702_s14_qp_21
THEORY
2014
Paper 2, Variant 1
View
A spring is kept horizontal by attaching it to points A and B, as shown in . cart, mass 1.7 kg slider spring A B support v Point A is on a movable slider and point B is on a fixed support. A cart of mass 1.7 kg has horizontal velocity v towards the slider. The cart collides with the slider. The spring is compressed as the cart comes to rest. The variation of compression x of the spring with force F exerted on the spring is shown in . 2.5 3.5 4.5 1.5 0.5 1.0 1.5 2.0 x / cm F / N shows the compression of the spring for F = 1.5 N to F = 4.5 N. The cart comes to rest when F is 4.5 N. Use to show that the compression of the spring obeys Hooke’s law, determine the spring constant of the spring, spring constant = N m–1 determine the elastic potential energy EP stored in the spring due to the cart being brought to rest. EP = J Calculate the speed v of the cart as it makes contact with the slider. Assume that all the kinetic energy of the cart is converted to the elastic potential energy of the spring. speed = m s–1
9702_s15_qp_21
THEORY
2015
Paper 2, Variant 1
View
The strain in a beam is to be monitored using a strain gauge. The strain gauge is included in the potential divider circuit shown in . strain gauge 120.0 1 +2000 mV 5000 1 5000 1 B A The strain gauge has a resistance of 120.0 Ω when it is not strained. The resistance increases to 121.5 Ω when the strain is ε. Calculate the potential difference between points A and B on when the strain in the gauge is ε. potential difference = mV An inverting amplifier, incorporating an operational amplifier (op-amp), uses a high-resistance voltmeter to display the output. A partially completed circuit for the amplifier is shown in . V IN +9 V –9 V V + – The voltmeter is to indicate a full-scale deflection of +6.0 V for an input potential VIN of 0.15 V. On , 1. complete the circuit for the inverting amplifier, 2. mark, with the letter P, the positive terminal of the voltmeter. Suggest appropriate values for the resistors you have shown in . Label the resistors in with these values.
9702_s15_qp_42
THEORY
2015
Paper 4, Variant 2
View
A spring balance is used to weigh a cylinder that is immersed in oil, as shown in . spring balance 5.0 cm thin wire cross-sectional area 13 cm2 cylinder oil The reading on the spring balance is 4.8 N. The length of the cylinder is 5.0 cm and the cross- sectional area of the cylinder is 13 cm2. The weight of the cylinder is 5.3 N. The cylinder is in equilibrium when it is immersed in the oil. Explain this in terms of the forces acting on the cylinder. Calculate the density of the oil. density = kg m–3
9702_s16_qp_23
THEORY
2016
Paper 2, Variant 3
View
The Young modulus of the material of a wire can be determined using the apparatus shown in Fig. 3.1. bench scale S wire marker on wire pulley masses F X C clamp One end of the wire is clamped at C and a marker is attached to the wire above a scale S. A force to extend the wire is applied by attaching masses to the other end of the wire. The reading X of the marker on the scale S is determined for different forces F applied to the end of the wire. The variation with X of F is shown in . 2.0 4.0 6.0 8.0 10.0 X / mm F / N 12.0 The length of the wire from C to the marker for F = 0 is 3.50 m. The diameter of the wire is 0.38 mm. Use the gradient of the line in to determine the Young modulus E of the material of the wire in TPa. E = TPa The experiment is repeated with a thicker wire of the same material and length. State how the range of the force F must be changed to obtain the same range of scale readings as in .
9702_s17_qp_22
THEORY
2017
Paper 2, Variant 2
View
Questions Discovered
301