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A sled of mass 500 kg sits at rest on a rough slope that is inclined at 10° to the horizontal. The coefficient of friction between the slope and the sled is 0.3. The sled is held in place by a wire attached to a winch. The tension in the wire is TN. TN 500 kg 10° The sled is modelled as a particle, and the wire is modelled as a light inextensible string. a Find the maximum possible value of T. (3 marks) A load of mass mkg is added to the sled, and the tension in the wire is increased to 5000 N in order to pull the sled and load up the slope. mkg 5000 N 500 kg 10° Given that the sled and load are pulled a distance of 100m in 80 seconds, b work out the value of m. (6 marks)

A sled of mass 500 kg sits at rest on a rough slope that is inclined at 10° to the horizontal. The coefficient of friction between the slope and the sled is 0.3. The sled is held in place by a wire attached to a winch. The tension in the wire is TN. TN 500 kg 10° The sled is modelled as a particle, and the wire is modelled as a light inextensible string. a Find the maximum possible value of T. (3 marks) A load of mass mkg is added to the sled, and the tension in the wire is increased to 5000 N in order to pull the sled and load up the slope. mkg 5000 N 500 kg 10° Given that the sled and load are pulled a distance of 100m in 80 seconds, b work out the value of m. (6 marks)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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A sled of mass 500 kg sits at rest on a rough slope that is inclined at 10° to the horizontal. The coefficient of friction between the slope and the sled is 0.3. The sled is held in place by a wire attached to a winch. The tension in the wire is TN. TN 500 kg 10° The sled is modelled as a particle, and the wire is modelled as a light inextensible string. a Find the maximum possible value of T. (3 marks) A load of mass mkg is added to the sled, and the tension in the wire is increased to 5000 N in order to pull the sled and load up the slope. mkg 5000 N 500 kg 10° Given that the sled and load are pulled a distance of 100m in 80 seconds, b work out the value of m. (6 marks)
Transcribed Image Text:A sled of mass 500 kg sits at rest on a rough slope that is inclined at 10° to the horizontal. The coefficient of friction between the slope and the sled is 0.3. The sled is held in place by a wire attached to a winch. The tension in the wire is TN. TN 500 kg 10° The sled is modelled as a particle, and the wire is modelled as a light inextensible string. a Find the maximum possible value of T. (3 marks) A load of mass mkg is added to the sled, and the tension in the wire is increased to 5000 N in order to pull the sled and load up the slope. mkg 5000 N 500 kg 10° Given that the sled and load are pulled a distance of 100m in 80 seconds, b work out the value of m. (6 marks)
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