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AQA A2 Physics P17 Motion In Circle Kerboodle Answers

This page contains the AQA AS P17 Motion In Circle Questions and kerboodle answers for revision and understanding.This page also contains the link to the notes and video for the revision of this topic.
 
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C17.1 Uniform circular motion AQA A2 Physics P17 Motion In Circle Kerboodle Answers: Page No. 275

1.Ans-a clock in: a 1 second 1.75 x 10-3 rad b 1 minute 0.105 rad c 1 hour. 6.28 rad 2.Ans- a its time period, 20 ms b the angle it turns through in radians in i 1 ms, 0.31 rad ii Is. 310 rad 3.Ans- a. the speed of rotation of a point on the equator, 465 m s-1 b the angle the Earth turns through in 1 s in i degrees, 0.0042° ii radians. The radius of the Earth 6400 km. 7.3 x 10-5 rad 4.Ans- a its speed, 7.0 km s-1 b its angular displacement in 1.0 sin i degrees, 0.050° ii radians.
  1. 7 x 10-4 rad

17.2 Centripetal acceleration AQA A2 Physics P17 Motion In Circle Kerboodle Answers : Page No. 277

1.Ans- a the speed of a capsule, 0.23 m s-1 b i) the acceleration of a capsule, the centripetal force on a person of mass 6B kg in a capsule. 7.9 x 10-4 m s-2 2.Ans- a the speed and acceleration of the object, 5 .1 x 10-2 N b the centripetal force on the 0.53 m s-1, 0.66 m s-2 3.Ans-i the speed 9.9 x 10-2 N ii the centripetal acceleration of the Earth on around the Sun. i the speed, 3.0 x 104 m s-1 ii the time for one of satellite, Radius of the Earth 5400 km Acceleration of free fall ms-2 6.0 x 10-3 m s-2 4.ANS-a the Speed Of the h before it Was released, 8.4 m s-1 b its centripetal acceleration, 88 m s-2 c the centripetal force the hammer just before it was released. 175 N

17.3 On the road AQA A2 Physics P17 Motion In Circle Kerboodle Answers : Page No. 279

1.Ans-  a the centripetal acceleration of the vehicle on the bridge, 6.7m s-2 b the support force On the vehicle when it was at the top. 3.8 kN 2.Ans- a the centripetal acceleration, 4.1 m s-2 b the centripetal force on the vehicle when moving at this speed. 3.0 kN 3.Ans-The banking angle needs to be greater as the speed increases. The banking of the track means that the normal reaction of the track pushing up on the sprinter helps with his/her centripetal force as it has a component towards the centre of the circle. A flat track just pushes upwards and the sprinter needs to rely more on friction to get the centripetal force. 4.Ans- a Use the equation yr tan 9 to cälculäte the speed of a vehicle On the bend if there is to be no sideways friction on its tures. 40 m s-1 b When turning the wheels, the car still wants to continue straight ahead. Because of the inertia, the car is not just stopped but wants to go on forward (the effect is known as the centrifugal effect.) When you turn the wheels, so they don’t follow the motion perfectly anymore, they should slide over the asphalt as the car continues forward. You have then caused a velocity-component perpendicular to the wheels, in which direction they can’t turn – they can only slide. But the car doesn’t start sliding and burning your Goodyear rubber tires (it doesn’t continue forward without change). Static friction will prevent that. That static friction is pulling in the wheel to oppose that slide (preventing any perpendicular velocity-component) to prevent the car from slipping and sliding. Be reminded that friction is always something that tries to prevent a motion. It will always act the exact opposite way as the motion/velocity it is trying to stop – in this case, exactly opposite to the perpendicular velocity-component of the wheel. This introduced static friction will always be perpendicularly to the wheels direction. Any parallel component of this force would have been in the direction of the wheels rotation, and so wouldn’t stop or change the motion (but just keeps the wheels rotating). And acceleration always happens in the direction of the (net) force, F⃗ =ma⃗ .

17.4 At the fairground AQA A2 Physics P17 Motion In Circle Kerboodle Answers : Page No. 281

1.Ans-
30 m s-1 b Calculate the centripetal acceleration of the train at the bottom of the dip, ii the extra support force on a person of weight N in the train. 690 N 2.ans a the speed of the person at the lowest point, 25 m s-1 b the centripetal acceleration at the lowest point, 20 m s-2 c the support force on the person at the lowest point. 2000 N 3.Ans a the speed of rotation of the perimeter of the wheel, 13 m s-1 b the centripetal acceleration of a person on the perimeter, 13 m s-2 c the support force on a person of mass 72 at the highest point. 240 N 4 The wheel of the London Eye has a diameter of 130m and takes 30 minutes to complete one revolution. Calculate the change due to rotation of the wheel of the support force on a person of weight 500 N in a capsule at the top of the wheel. -0.04 N Baneer 6

Practice questions: Page No. 282-285

1.Ans- (a) Each spring holds its brake pad retainer on the shaft at low speed. If the rotation speed is increased, the brake pad retainer moves away from the shaft and compresses the spring, which acts against the outward movement of the retainer. If the rotation speed is fast enough, the spring is unable to prevent the brake pad coming into contact with the collar. Friction between the brake pad and the collar prevents the shaft rotating any faster. (b) For no braking, the centripetal force < 250 N. ∴ mω02 r = 250 N at the maximum angular speed ω, 0.30 ω0 2 × 0.060 = 250 (c) If the springs became weaker, the tension in the springs at which the brake pads touched the collar would be less……so braking would occur at a lower rotation frequency. The lifeboat would descent at a lower speed, or more friction occurs 2 (a) Speed is the magnitude of velocity (or speed is a scalar but acceleration (or velocity) is a vector).
  • In circular motion at constant speed the direction of motion changes continuously.
  • Therefore the velocity is changing.
  • Acceleration is the rate of change of velocity.
(b) 3.ans  (a) Calculate the linear speed of the dust particle at D. (b) Radial arrow drawn from D pointing towards the centre of the disc (ii) Calculate the centripetal acceleration al position D. (c) A smaller centripetal force is required for particles that are closer to the centre . . .
  • because, when the rate of rotation is constant, force ∝ radius r (F = mω2r and ω is constant).
  • Friction (or electrostatic attraction) is sufficient to hold the dust particles that are closer to the centre but not those further away.
4.  (a) (b) (i) The centripetal force on the effective mass is applied by the tension in the plastic line. (ii) (c) 5 (a) (i) The velocity of the engine changes because the direction of movement changes as it goes round the track. Acceleration is the rate of change of velocity (or velocity is a vector). (ii) Mark on a copy of Figure 5 the direction of the centripetal force acting on the engine. (3 marks) (b) (c) (i) Centripetal force acts on the outer wheel. (ii)
  • Stress is
  • F depends on the mass of the engine, the speed of the engine, and the radius of the track.
  • A is the area of contact between the wheel and the rail.
  • A discussion of how changing a physical quantity would affect the stress, for example increasing the mass of the engine would increase the stress, or an increase in the depth of the flange would decrease the stress.
6 (a) i) the speed of the mass, (4 marks) (ii) the period rotation of the mass. (b) The mass M is now spun in a circle in a vertical plane as shown in Figure 7. (i) On a copy of Figure 7, label the forces acting on the mass, and use arrows to their direction Weight (or mg), arrow vertically downwards from centre of mass of M.
  • Tension, arrow along thread towards centre of circle.
  • Air resistance (or drag), arrow along a tangent to the circle in the opposite direction to the rotation arrow.
(ii) The tension is least when M is at the top of the circle and greatest when M is at the bottom. At the top: centripetal force = weight + tension 7  (a) (b) (c) Show on a copy of Figure 8 the direction of this force when an electron is at point P. (1 mark) AQA, 2002 8.ANS-  (a) A force is needed (or there is an acceleration) towards the centre of the bend.
  • The movement of the pointer is to the left (or away from the centre).
  • The right hand spring must stretch to provide this force.
(b) (i) (ii) Force on mass = ma = 0.35 × 6.5 = 2.28 N Movement of pointer = = 82 mm

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