solve Q2 d, e, f, g in attached pic Transcribed Image Text: c) One of the bestselling items at the stall are gummy worms, so you decide to
perfect the recipe. The ideal gummy will stretch a little as you bite into it, but
not too much. The mold you use produces worms with a length of 0.1m and a
diameter of 0.03m.
You narrow it down to two recipes. In the graph below are the two possible
options you produce when you hang weights from the bottom of your two
most likely gummy worms and measure the extension.
Force (N)
0.2
0.4
0.6
0.8
Extension (cm)
Calculate the Young Modulus of the gummy worms by converting one of the options
into a stress/ strain graph (to be shown with your answers) and the other by using
calculations. Choose which gummy worm you think would be better and explain why.
Question 2 – Go Kart Track
Your go karts have a mass of 450kg and travel around a circular curve on a flat,
horizontal track at a radius of 42 m.
a) Draw a diagram to show the go kart on the track and add an arrow to show
the direction of the frictional force needed for the car to travel around the
curve at a radius of 42 m.
b) The maximum frictional force between the tyres and the road is equal to 20%
of the weight of the car and driver. Calculate the coefficient of friction when an
adult of mass 70kg is driving the kart.
c) Calculate maximum angular velocity at which the car can travel round the
curve at a constant radius of 42 m. Transcribed Image Text: d) Calculate the maximum linear velocity.
e) You decide that this is not nearly fast enough and decide to create a banked
track of 12°, what is the maximum linear velocity now?
f) Describe qualitatively how this could change if a child were driving the kart.
g) It is important that the karts can brake effectively. They use drum brakes
where a solid circular drum of mass 4.0 kg and radius 0.15 m is rotating at an
angular speed of 22 rad s-1 about an axis when a ‘braking’ torque is applied to
it which brings it to rest in 5.8 s.
Calculate
i) its angular deceleration when the braking torque is applied.
ii) the moment of inertia of the drum about the axis shown
1 = =mr?
iii) the resultant torque that causes it to decelerate.
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