1. The efficiency of a squeaky pulley system is 73 percent. The pulleys are used to raise a mass to a certain height. What force is exerted on the machine if a rope is pulled 18.0 m in order to raise a 58 kg mass a height of 3.0 m?
So to find the force exerted do I just do 58*3*0.73/18 = 7.06 kg ????
2. A person lifts a 950 N box by pushing it up an incline. If the person exerts a force of 350 N along the incline, what is the mechanical advantage of the incline?
What do I do to solve this?
1. No. Force is not in kg, it is Newtons.
WorkdoneOnGravity= 58*g*3
Workdone by person= Force*18
Workdonebyperson*.73= workdone on gravity.
2. The definition MA:
Ma= force output/forceinput= 950/350
aveagg
1. To find the force exerted in the first question, you need to consider the work done by the pulley system. The work done by the pulleys is equal to the work done against gravity. So, the formula would be:
Work Done by Gravity = Mass * Acceleration due to gravity * Height
= 58 kg * 9.8 m/s^2 * 3.0 m
Next, you can calculate the work done by the person pulling the rope. The work done by the person pulling the rope is equal to the force applied multiplied by the distance moved. So, the formula would be:
Work Done by Person = Force * Distance
To find the force exerted by the person, you need to set the work done by the person equal to the work done by gravity, and take into account the efficiency of the pulley system:
Force * Distance * Efficiency = Mass * Acceleration due to gravity * Height
Plugging in the values, we get:
Force * 18.0 m * 0.73 = 58 kg * 9.8 m/s^2 * 3.0 m
Now, you can solve for the force exerted by the person pulling the rope.
2. To calculate the mechanical advantage of the incline in the second question, you can use the formula:
Mechanical Advantage (MA) = Force Output / Force Input
Given that the force input is 350 N and the force output (force lifting the box) is 950 N, you can substitute these values into the formula to find the mechanical advantage.
1. To find the force exerted in the squeaky pulley system, you need to use the concept of work and mechanical advantage. Let's break down the steps:
Step 1: Calculate the work done against gravity
The work done against gravity can be calculated using the formula:
Work done against gravity = mass * gravity * height
where mass = 58 kg, gravity = 9.8 m/s^2, and height = 3.0 m
Thus, work done against gravity = 58 kg * 9.8 m/s^2 * 3.0 m
Step 2: Calculate the work done by the person
The work done by the person can be calculated using the formula:
Work done by person = force * distance
where force is unknown and distance = 18.0 m
Step 3: Determine the force exerted on the machine
To find the force exerted on the machine, you can equate the work done by the person to the work done against gravity and solve for force:
Work done by person * 0.73 = work done against gravity
Substituting the values obtained in steps 1 and 2, you can solve for force.
2. To find the mechanical advantage (MA) of the incline, you can use the formula:
MA = force output / force input
In this case, the force exerted by the person along the incline can be considered the force input, and the weight of the box (950 N) can be considered the force output. Therefore, you can use the given values to calculate the mechanical advantage.