Final answer:
The work put into the system when a box weighing 20 N is pushed to a height of 8 m on a 30° wedge is 160 joules.
Step-by-step explanation:
To calculate the amount of work put into the system when a box weighing 20 N is pushed to a height of 8 m on a wedge with an angle of 30°, the following equation is used:
Work = Force × Distance × Cos(θ).
In this scenario, since the box is being lifted directly against gravity, the angle θ would be 0°, because the force of gravity acts downwards, and the displacement is upwards. The force involved in lifting the box is the same as the weight of the box, which is 20 N, and the distance is the height the box is raised, which is 8 m.
Therefore, the work done is simply:
Work = 20 N × 8 m × Cos(0°) = 20 N × 8 m × 1 = 160 J (joules).
Hence, the work put into the system is 160 joules.