A force of 3 pounds acts in the direction of 42 degrees to the horizontal. The force moves an object along a straight line from the point (3,7) to the point (8,8), with distance measured in feet. Find the work done by the force in foot-pounds.
Answers
Answer:
11.37 lb-ft
Step-by-step explanation:
We are given that
Force,F=3 pounds
Let Point A (3,7) and point B(8,8)
We have to find the work done by the force.
feet
We know that Work done by the force
Substitute the values
Hence, the work done by the force =11.37 lb-ft
Final answer:
The work done by a force of 3 pounds moving an object along a straight line from point (3,7) to (8,8) at an angle of 42 degrees with the horizontal is calculated to be approximately 11.7 foot-pounds.
Explanation:
The student's question relates to the concept of work done by a force. According to the equation for work, W = Fd cos θ, the work done by a force is the product of the magnitude of the force, the distance over which it acts and the cosine of the angle between the force and the displacement vectors. In this case, the force is 3 pounds, the displacement can be calculated using Pythagorean theorem from the points (3,7) to (8,8) yielding approximately 5.1 feet, and the angle with the horizontal is 42 degrees. Using these values, the work done can be calculated as:
W = 3 pounds * 5.1 feet * cos(42 degrees) = approximately 11.7 foot-pounds
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Answers
Answer:
adult tickets 6.9
children tickets 3.9
Step-by-step explanation:
3x + y = 24.60 L1
5x + 4y = 50.10 L2
5L1 - 3L2
15x + 5y = 123
-15x - 12y = -150.3
-7y = -27,3
y = -27,3/-7
y = 3.9
3x + y = 24.60
3x + 3.9 = 24.60
3x = 24.60 - 3.9
3x = 20.7
x = 20.7 / 3
x = 6.9
b.330
c.120
d.720
Answers
Answer:
the answer is c.120
Step-by-step explanation:
10 x 3 x 4 = 120
Answers
Answer:The Phillips family used their sprinklers for 20 hours while The Petersons family used their sprinklers for 15 hours.
Step-by-step explanation:
Let x = the number of times that the Phillips family used their sprinkler last summer.
Let y = the number of times that the Petersons family used their sprinkler last summer.
The water output rate for the Phillips family sprinkler was 35 L per hour.
This means that the total volume of water from their sprinkler is 35xL
The water output rate for the Petersons family sprinkler was 15 L per hour.
This means that the total volume of water from their sprinkler is 15yL
The families used their sprinklers for a combined total of 35 hours, resulting in a total water output of 925 L. This means
x + y = 35
35x + 15y = 925 - - - - - - - - 2
Substituting x = 35 - y into equation 2
35(35-y) + 15y = 925
1225 - 35y + 15y = 925
- 20y = 925 - 1225 =- 300
y = - 300 / -20 = 15
x = 35 - y = 35 - 15 = 20
The Phillips family used their sprinklers for 20 hours while The Petersons family used their sprinklers for 15 hours.
45º
B.
90º
C.
150º
D.
160º
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Answers
This is the answer:
Answers
The standard set up for direct variation is y=kx, which happens to be the case here. K stands for constant, which is what it is asking for. The constant is the ratio of y/x in direct variation and I can not solve that without seeing the graph, but the meaning of the constant of variation in this situation is The amount Ben earns per hour. Or in general The constant number multiplied by x to get y in the ratio between x and y in a direct variation situation.