Question
1. Match each term to its correct description.
Column A
A) Work
B) Power
C) Joule
D) Watt
E) Machine
F) Mechanical Advantage
G) Efficiency
H) Energy
Column B
a. The metric unit of power.
b. Any device that makes work easier.
c. the number of times a machine increases the input force.
d. Using a force to move an object.
e. The ability to do work.
f. The rate at which work is done.
g. The metric unit of work and energy.
h. The ratio of output work to input work.
2. The inclined plane below is being used to lift a box 7 ft.
The inclined plane has a mechanical advantage of 1.5. What is the length, x, of the inclined plane?
mechanical advantage = (length of ramp)/(height of ramp)
a
7.5 feet
b
2.5 feet
c
.25 feet
d
10.5 feet
3. Maddie is on the weightlifting team at her school. She must lift as much weight as possible from the ground to a straight up standing position. How much work will Maddie do if she uses a force of 6 N to lift 150 kg of weight to a height of 1.5 m?
Work = Force x Distance
a
6.5 J
b
9.0 J
c
3.5 J
d
3.3 J
Column A
A) Work
B) Power
C) Joule
D) Watt
E) Machine
F) Mechanical Advantage
G) Efficiency
H) Energy
Column B
a. The metric unit of power.
b. Any device that makes work easier.
c. the number of times a machine increases the input force.
d. Using a force to move an object.
e. The ability to do work.
f. The rate at which work is done.
g. The metric unit of work and energy.
h. The ratio of output work to input work.
2. The inclined plane below is being used to lift a box 7 ft.
The inclined plane has a mechanical advantage of 1.5. What is the length, x, of the inclined plane?
mechanical advantage = (length of ramp)/(height of ramp)
a
7.5 feet
b
2.5 feet
c
.25 feet
d
10.5 feet
3. Maddie is on the weightlifting team at her school. She must lift as much weight as possible from the ground to a straight up standing position. How much work will Maddie do if she uses a force of 6 N to lift 150 kg of weight to a height of 1.5 m?
Work = Force x Distance
a
6.5 J
b
9.0 J
c
3.5 J
d
3.3 J
Answers
GPT-4o mini
1. Here are the matched terms and descriptions:
- A) Work → d. Using a force to move an object.
- B) Power → f. The rate at which work is done.
- C) Joule → g. The metric unit of work and energy.
- D) Watt → a. The metric unit of power.
- E) Machine → b. Any device that makes work easier.
- F) Mechanical Advantage → c. the number of times a machine increases the input force.
- G) Efficiency → h. The ratio of output work to input work.
- H) Energy → e. The ability to do work.
2. To find the length \( x \) of the inclined plane, you can use the formula for mechanical advantage:
\[ \text{Mechanical Advantage} = \frac{\text{Length of Ramp}}{\text{Height of Ramp}} \]
Given that the mechanical advantage is 1.5 and the height of the ramp is 7 ft, we can rearrange the formula:
\[ 1.5 = \frac{x}{7} \]
Now, solve for \( x \):
\[ x = 1.5 \times 7 = 10.5 \text{ feet} \]
So the answer is:
**d. 10.5 feet**
3. To calculate the work done by Maddie, we can use the formula:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
First, we need to find the distance (height) Maddie is lifting the weights. We can find the force acting against gravity on the 150 kg weight:
Weight = mass × gravity = 150 kg × 9.81 m/s² (approximately) = 1471.5 N
However, since we need the work done with respect to the force of 6 N, it suggests that Maddie lifted the weight a distance of 1.5 m.
Now calculate work:
Work = \( 6 \, \text{N} \times 1.5 \, \text{m} = 9.0 \, \text{J} \)
So the answer is:
**b. 9.0 J**
- A) Work → d. Using a force to move an object.
- B) Power → f. The rate at which work is done.
- C) Joule → g. The metric unit of work and energy.
- D) Watt → a. The metric unit of power.
- E) Machine → b. Any device that makes work easier.
- F) Mechanical Advantage → c. the number of times a machine increases the input force.
- G) Efficiency → h. The ratio of output work to input work.
- H) Energy → e. The ability to do work.
2. To find the length \( x \) of the inclined plane, you can use the formula for mechanical advantage:
\[ \text{Mechanical Advantage} = \frac{\text{Length of Ramp}}{\text{Height of Ramp}} \]
Given that the mechanical advantage is 1.5 and the height of the ramp is 7 ft, we can rearrange the formula:
\[ 1.5 = \frac{x}{7} \]
Now, solve for \( x \):
\[ x = 1.5 \times 7 = 10.5 \text{ feet} \]
So the answer is:
**d. 10.5 feet**
3. To calculate the work done by Maddie, we can use the formula:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
First, we need to find the distance (height) Maddie is lifting the weights. We can find the force acting against gravity on the 150 kg weight:
Weight = mass × gravity = 150 kg × 9.81 m/s² (approximately) = 1471.5 N
However, since we need the work done with respect to the force of 6 N, it suggests that Maddie lifted the weight a distance of 1.5 m.
Now calculate work:
Work = \( 6 \, \text{N} \times 1.5 \, \text{m} = 9.0 \, \text{J} \)
So the answer is:
**b. 9.0 J**