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Mechanic Additonal Exercise

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UNIVERSITI TUNKU ABDUL RAHMAN

|Centre |: Centre for Foundation Studies (CFS) |Unit Code |: FHSC1014 |
|Course |: Foundation in Science |Unit Title |: Mechanics |
|Year/ Trimester |: Year 1 / Trimester 2 & 3 |Lecturer |: Kevin Chin |
|Session |: 201605 | | |

Additional Tutorial 4: Work and Energy. 1. A push of 120 N is applied along the handle of a lawn mower producing a horizontal displacement of 14.0 m. If the handle makes an angle of 30.0o with the ground, what work was done by the 120 N force? [1.45×103 J]

2. A box of mass 5.0 kg is accelerated by a force across a floor at a rate of 2.0 m/s2 for 7.0 s. Find the net work done on the box. [490 J]

3. What is the minimum work needed to push a 950-kg car 810 m up along a 9.0º incline? (a) Ignore friction. (b) Assume the effective coefficient of friction retarding the car is 0.25. [(a) 1.2×106 J, (b) 3.0×106 J]

4. The net force exerted on a particle acts in the +x direction. Its magnitude increases linearly from zero at x = 0 to 24.0 N at x = 3.0 m. It remains constant at 24.0 N from x = 3.0 m to x = 8.0 m and then decreases linearly to zero at x = 13.0 m. Determine the work done to move the particle from x = 0 to x = 13.0 m graphically by determining the area under the Fx vs x graph. [216 J]

5. If the speed of a car is increased by 50%, by what factor will its minimum braking distance be increased, assuming all else is the same? Ignore the driver’s reaction time. [2.25]

6. Two blocks are connected by a light string that

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