Two people use a ramp to move a heavy box onto a truck. The box weighs 750 N. The mechanical advantage of using the ramp is 4. How much effort is required to move the box?
The mechanical advantage of using a ramp is given by the formula:
Mechanical Advantage = Length of ramp / Height of ramp
In this case, the mechanical advantage is given as 4. Let's assume that the length of the ramp is L and the height of the ramp is H.
So, we have the equation:
4 = L / H
Solving for L, we get:
L = 4H
Now, the effort required to move the box is given by the formula:
Effort = Load / Mechanical Advantage
The load in this case is the weight of the box, which is 750 N. The mechanical advantage is given as 4.
Substituting these values, we have:
Effort = 750 N / 4
Effort = 187.5 N
Therefore, the effort required to move the box is 187.5 Newtons.
To find the effort required to move the box using the ramp, we need to use the formula for mechanical advantage:
Mechanical Advantage = Load / Effort
In this case, the load is the weight of the box, which is 750 N. The mechanical advantage of the ramp is given as 4. So, let's substitute these values into the formula:
4 = 750 N / Effort
To solve for the effort, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by Effort:
4 * Effort = 750 N
Now, divide both sides of the equation by 4 to solve for Effort:
Effort = 750 N / 4
Calculating this, we find that the effort required to move the box using the ramp is 187.5 N.
750/4
or maybe you want 750/8 per person