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b) A truck of total mass 18tonne descends a hill with a gradient of 1 in 14, i.e. a vertical movement of 1m for each 14m of movement along the slope. During this motion, the truck experiences a rolling resistance to its motion of 900N. Whilst travelling at a velocity of 54km/h, its brakes are applied, and the truck is brought uniformly to rest in a distance of 112m. During this period of constant deceleration, it may be assumed that the rolling resistance remains constant at 900N, this being in addition to the retarding force applied by the brakes. Calculate for the truck whilst it is slowing down: a) The vertical height through which it descends. b) Its decrease in potential energy. c) Its initial velocity in m/s.

b) A truck of total mass 18tonne descends a hill with a gradient of 1 in 14, i.e. a vertical movement of 1m for each 14m of movement along the slope. During this motion, the truck experiences a rolling resistance to its motion of 900N. Whilst travelling at a velocity of 54km/h, its brakes are applied, and the truck is brought uniformly to rest in a distance of 112m. During this period of constant deceleration, it may be assumed that the rolling resistance remains constant at 900N, this being in addition to the retarding force applied by the brakes. Calculate for the truck whilst it is slowing down: a) The vertical height through which it descends. b) Its decrease in potential energy. c) Its initial velocity in m/s.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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How to calculate the initial velocity

b) A truck of total mass 18tonne descends a hill with a gradient of 1 in 14, i.e. a vertical movement of 1m for each 14m of movement along the slope. During this motion, the truck experiences a rolling resistance to its motion of 900N. Whilst travelling at a velocity of 54km/h, its brakes are applied, and the truck is brought uniformly to rest in a distance of 112m. During this period of constant deceleration, it may be assumed that the rolling resistance remains constant at 900N, this being in addition to the retarding force applied by the brakes. Calculate for the truck whilst it is slowing down: a) The vertical height through which it descends. b) Its decrease in potential energy. c) Its initial velocity in m/s. d) Its decrease in kinetic energy. e) The work done against the rolling resistance.
Transcribed Image Text:b) A truck of total mass 18tonne descends a hill with a gradient of 1 in 14, i.e. a vertical movement of 1m for each 14m of movement along the slope. During this motion, the truck experiences a rolling resistance to its motion of 900N. Whilst travelling at a velocity of 54km/h, its brakes are applied, and the truck is brought uniformly to rest in a distance of 112m. During this period of constant deceleration, it may be assumed that the rolling resistance remains constant at 900N, this being in addition to the retarding force applied by the brakes. Calculate for the truck whilst it is slowing down: a) The vertical height through which it descends. b) Its decrease in potential energy. c) Its initial velocity in m/s. d) Its decrease in kinetic energy. e) The work done against the rolling resistance.
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