John loads a collapsed inflatable boat into a two wheel "grocery type" handcart and wheels it down to the lake. While the cart is being wheeled it is tipped at about a 45-degree angle (in other words, about halfway between horizontal and vertical). John finds this tiring because he has to pull fairly hard to move the cart. After hearing a friends suggestion, he tries an experiement. He uses an eight-foot long board to lengthen the underside of the cart. (the side of the cart that faces downward while the cart is tipped and being pulled along). The end of the board serves as a new extended handle for his cart. Now when he goes to pull his longer cart, he is pulling the cart at a 20-degree angle (much closer to the ground than before. What will happen?
The cart will beeasier to pull, in spite of the weight of the board, because now the angle of the pull is much closer to the angle of movement.
Yes The cart will be easier to pull, in spite of the weight of the board, because now the angle of pull is much closer to the angle of movement.
Well, John might just end up feeling like he's riding a magic carpet or something! With the longer cart and the extended handle, the new pulling angle will make his life a whole lot easier. It's like upgrading from a strenuous workout to a leisurely stroll. The lower pulling angle means less resistance, less force needed, and less tire for John. He'll probably be thinking, "Why didn't I think of this earlier?" as he effortlessly glides his inflatable boat to the lake.
By lengthening the underside of the cart with an eight-foot long board, John effectively increases the lever arm of the cart. This means that the force he needs to exert to pull the cart will be reduced.
When John pulls the longer cart at a 20-degree angle, which is closer to the ground than the previous angle of 45 degrees, the force required to move the cart will be further reduced. This is because pulling at a lower angle decreases the vertical component of the force required to overcome the cart's weight.
Therefore, by using the longer cart and pulling it at a lower angle, John will find it easier to move the cart. The reduced force needed to overcome the cart's weight will make the task less tiring for him.
By lengthening the underside of the cart with the board and using it as a new extended handle, John is essentially changing the angle at which he is pulling the cart. Previously, he was pulling the cart at a 45-degree angle, which is almost halfway between horizontal and vertical. However, with the longer cart, he is now pulling it at a 20-degree angle, much closer to the ground.
When pulling the cart at a 45-degree angle, John experiences more resistance because the force he exerts to move the cart is split between lifting the weight of the cart and pulling it forward. This makes it harder for him to move the cart since he has to overcome the upward component of the force.
By pulling the longer cart at a 20-degree angle, John will have a more favorable mechanical advantage. At this shallower angle, the force he exerts is primarily directed horizontally, increasing the forward force and reducing the lifting force. This means that John will find it easier to move the cart at the lower angle since he does not have to lift as much weight while pulling.
In summary, by changing the angle at which he pulls the cart to a lower angle, John will experience less fatigue and exert less force to move the cart, making it easier for him to transport the collapsed inflatable boat to the lake.