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4 votes
2.A3 m ramp and a 5 m ramp are both

iced to wheel boxes of vegetables into
a restaurant. Both ramps have one
end on the ground and one end on
the top step of the restaurant. Which
statement best compares the ramps?
It takes less effort to wheel boxes
up the 5 m ramp, but the distance
is greater.
® It takes less effort to wheel boxes
up the 3 m ramp, but the distance
is shorter.
© It takes more effort to wheel boxes
up the 5 m ramp, but the distance
is shorter.
It takes more effort to wheel boxes
up the 3 m ramp, but the distance
is greater.

User Idish
by
4.8k points

1 Answer

3 votes

Answer:

The first option best compares both ramps: "It takes less effort to wheel boxes up the 5 m ramp, but the distance is greater"

Step-by-step explanation:

Power and Work

If an object is being lifted by a vertical distance y, the work done by the agent is the same regardless of the path taken to reach that heigh. But the power could be different since it depends on the time needed to do the work.

The question talks about 'effort' which we'll assume to be the power, since, as noted above, the work is the same by using any of the ramps. The 5 m ramp makes the job easier because the worker has to push less. It's due to the fact that the component of the weight depends on the sine of the angle formed by the ramp with the floor. The larger ramp makes a shorter angle, thus requiring less effort, through a longer distance.

Thus, the first option best compares both ramps:

It takes less effort to wheel boxes up the 5 m ramp, but the distance is greater

User Benas
by
4.7k points