HOPE THIS IS BETTER
John Loads A Collapsed Inflatable Boat Into A Two-wheel "grocery Type" Handcart and wheels it down the lake. (A) 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 it tiring because he has to pull fairlyhard to move the cart. After hearing a friends suggestion, he tries an experiment. (B) He uses an 8 Foot Long Board To Lengthen The Underside Of The Cart (the side of the cartthat 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 With The Cart At A 20-degree Angle (much Closer To The Ground Than Before). Based On What You Read Above The Direction Of Force And Movement , What Will Happen? I think C
a. the cart will be even harder to pull now because it is lower to the ground
b. the cart will be even harder to pull now because of the extra weight of the board
c. The cart will be easier 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.
d. there is no real change because it takes the same amount of to pull a given amount of weight no matter how you pull it
c. The cart will be easier 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.
By lengthening the underside of the cart and pulling it at a 20-degree angle, John is aligning the direction of force with the direction of movement. This means that less force will be required to pull the cart compared to before when it was tipped at a 45-degree angle. So, even though there is extra weight from the board, the change in pulling angle makes it easier for John to move the cart.
Based on the information given, the correct answer is:
c. The cart will be easier 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.
By using an 8-foot long board to lengthen the underside of the cart, John is effectively lowering the center of gravity of the cart. When he pulls the longer cart, the angle of pull is much closer to the angle of movement, which makes it easier to pull compared to before where the cart was at a 45-degree angle. The weight of the board may add some extra weight to the cart, but this is offset by the improved angle of pull.
To determine the answer, let's analyze the situation and the physics behind it.
In option A, it states that the cart will be even harder to pull now because it is lower to the ground. The angle at which the cart is tipped does affect the force required to pull it. When the cart is tipped at a 45-degree angle, the force required to pull it is higher because the vertical component of the force (force against gravity) is added to the horizontal component of the force (force for motion). So, pulling the cart at a higher angle will be more difficult due to the larger vertical component.
In option B, it suggests that the cart will be even harder to pull now because of the extra weight of the board. Intuitively, adding weight to the cart would indeed make it more difficult to pull. However, the question does not mention adding any weight to the cart.
In option C, it states that the cart will be easier 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. This is the most promising option. Let's examine it further.
When the longer board is added to the underside of the cart, it extends the handle and provides a new angle for pulling. Now, instead of pulling the cart with a 45-degree angle (closer to vertical), John is pulling the cart at a 20-degree angle (closer to horizontal).
The force required to move the cart can be decomposed into two components: the horizontal force (force for motion) and the vertical force (force against gravity). Since the new pulling angle is closer to the angle of movement, the vertical component of the force is reduced while the horizontal component remains the same. This means that John needs to exert less force against gravity and can use more of his force for moving the cart forward. Therefore, the cart is easier to pull with the new longer cart configuration.
In option D, it states that there is no real change because it takes the same amount of force to pull a given amount of weight no matter how you pull it. This statement is incorrect because the angle of pulling does affect the force required to move the cart, as discussed above.
So, the correct answer is option C: The cart will be easier 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.