Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a carpenter applies an input force of 250 n. what is the mechanical adv…

Question

a carpenter applies an input force of 250 n. what is the mechanical advantage of the crowbar? the top has a resistance of 500 n. directions: answer the following questions with complete sentences. 4. what are two ways that machines make work easier? 5. how does a crowbar used to remove the top of a box change the direction of the force?

Explanation:

Step1: Recall mechanical - advantage formula

The formula for mechanical advantage (MA) of a simple machine is $MA=\frac{F_{out}}{F_{in}}$, where $F_{out}$ is the output force (resistance force) and $F_{in}$ is the input force.

Step2: Identify input and output forces

Given that the input force $F_{in}=250\ N$ and the resistance force (output force) $F_{out} = 500\ N$.

Step3: Calculate mechanical advantage

$MA=\frac{500}{250}=2$

Step4: Answer question 4

Machines make work easier in two ways: 1) by changing the magnitude of the force applied (either increasing or decreasing it), for example, a lever like a crow - bar can increase the force applied to overcome a resistance force. 2) by changing the direction of the force, such as using a pulley to lift an object by pulling downwards instead of upwards directly.

Step5: Answer question 5

A crowbar used to remove the top of a box is a type of lever. The input force is applied downwards on one end of the crow - bar, while the output force acts upwards on the top of the box. So, it changes the direction of the force from the downward - applied input force to an upward - acting output force on the box top.

Answer:

The mechanical advantage of the crowbar is 2.
Machines make work easier by changing the magnitude of the force and the direction of the force.
A crowbar changes the direction of the force from the downward - applied input force to an upward - acting output force on the box top.