A man weighing 700 N lifts a 50.0 N object 2.0 m high. He uses a lever and with a force of 10.0 N. What is the resistance force
A man weighing 700 N lifts a 50.0 N object 2.0 m high. He uses a lever and with a force of 10.0 N. What is the resistance force?
Answer: 50.0 N
Nick you are right.
#3 which of the following is used to calculate mechanical advantage?
Fr/fe
#1 which of the following is a compound machine?
Bicycle
To find the resistance force, we can use the principle of mechanical advantage, which states that the resistance force is equal to the effort force multiplied by the mechanical advantage.
The mechanical advantage (MA) of a lever can be calculated using the formula:
MA = effort arm length / resistance arm length
In this case, the effort force is 10.0 N, and the man is using a lever to lift the object. Let's assume the effort arm length is "a" and the resistance arm length is "b."
Since the man is able to lift the object, the effort force is greater than the resistance force. Therefore, the mechanical advantage is greater than 1.
We can set up the equation:
MA = 10.0 N (effort force) / Resistance force
However, we need to find the mechanical advantage first.
Let's find the length of the effort arm (a):
700 N (man's weight) × a = 10.0 N (effort force) × 2.0 m (height lifted)
a = (10.0 N × 2.0 m) / 700 N
a = 0.02857 m
Now that we know the length of the effort arm, we can use it to find the length of the resistance arm (b):
a / b = MA
0.02857 m / b = MA
Since the mechanical advantage is not given, we cannot calculate the exact resistance force without knowing it.
To find the resistance force, we can use the principle of mechanical advantage, which states that the resistance force is equal to the effort force multiplied by the mechanical advantage.
In this case, the effort force is 10.0 N, and we need to determine the mechanical advantage of the lever. The mechanical advantage of a lever is defined as the ratio of the distance from the fulcrum to the effort force (effort arm) to the distance from the fulcrum to the resistance force (resistance arm).
Given that the man lifts the object 2.0 m high, we assume that the object is lifted vertically, and the fulcrum of the lever is at the point of contact with the ground. Therefore, the resistance arm and the effort arm are both equal to 2.0 m.
Now we can calculate the mechanical advantage:
Mechanical Advantage = effort arm / resistance arm
= 2.0 m / 2.0 m
= 1
Since the mechanical advantage is 1, the resistance force is equal to the effort force:
Resistance Force = Effort Force
= 10.0 N
So, the resistance force is 10.0 N.