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Work and power

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Question 9
a.

An all-terrain volcanic research crawler is designed with a pointed wedge-shaped chassis front. Explain how this design helps to improve the energy efficiency of the crawler when travelling in stormy high-wind environments.

[2]
b.

The crawler climbs up a volcano slope at a constant speed. The vertical height of the slope is 30 m30\text{ m}30 m and the length along the incline is 150 m150\text{ m}150 m.

A right-angled triangle representing the cross-section of a volcanic slope. The long sloping hypotenuse is labeled 150 m. The vertical height on the right is labeled 30 m.

State the relationship between work done, force and distance moved in the direction of the force.

[1]
c.

The total weight of the crawler is 180 kN180\text{ kN}180 kN. Calculate the work done against gravity by the crawler in climbing to the top of the slope.

[2]
d.

The crawler takes 45.0 s45.0\text{ s}45.0 s to climb the slope. Calculate the useful power output of the crawler. State the unit.

[3]
e.

The graph below shows the velocity of the crawler during another part of its journey.

A velocity-time graph showing the crawler's motion. The vertical axis is labeled 'Velocity (m/s)' with grid lines from 0 to 20. The horizontal axis is labeled 'Time (s)' with grid lines from 0 to 10. A solid line begins at (0, 4) and goes up in a straight line with a constant positive gradient to the point (6, 16), and then continues horizontally to (10, 16).

State the relationship between acceleration, change in velocity, and time taken.

[1]
f.

Calculate the acceleration of the crawler during the first 6 s6\text{ s}6 s.

[2]
g.

Calculate the total distance travelled by the crawler during the 10 s10\text{ s}10 s shown on the graph.

[3]
h.

The crawler has 6 heavy-duty wheels6\text{ heavy-duty wheels}6 heavy-duty wheels in contact with the ground.

State the relationship between pressure, force, and area.

[1]
i.

The pressure exerted by each wheel is 120 kPa120\text{ kPa}120 kPa. Calculate the area of each wheel that is in contact with the ground, assuming the weight of 180 kN180\text{ kN}180 kN of the crawler is distributed equally among them.

[3]

Work and power Questions

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