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A girl and a dog are playing tug of war with a piece of rope. The girl pulls on the rope with a force of 165 newtons (N) towards the east, and the dog pulls with a force of 190 N towards the west. What is the net force on the rope?

A. 25 N towards the west

B. 190 N towards the west

C. 165 N towards the east

D. 35 N towards the east

Answer Explanation:

To find the net force, we choose east direction as positive and west as negative. From this, we can present the tag of war in the diagram below.

So, the force on the dog is -190 N and that of the girl is 165 N.

The net force is the sum of the two forces

The resulting force is negative, meaning it is in the west direction. Thus, the net force is 25 N to the west.

Therefore, the Correct Answer is A.

Q #1: Pat deposits $600 in a savings account at a simple interest rate 6% per year for 5 years. How much money will Pat have earned in interest at the end of 5 years?

A. $360

B. $180

C. $95

D. $36

Answer Explanation

In the simple interest, we utilize the following formula to find the simple interest after a period of time in years.

I=P*r*t

I is the interest

P=Principal or initial deposit

r=rate

t=time in years

From the given problem, P=$600, r=6%=6/100=0.06, t=5 years. Then

I=$600*0.06*5=$180

After 5 years, Pat will earn an interest of $180.
Q #2: Which of the following is the appropriate estimate of 1 teaspoon?

A. 0.5 L

B. 50 mL

C. 5 L

D. 5 mL

Answer Explanation

A teaspoon can approximately hold 5 mL.

Although the capacity of a teaspoon could be more or less, choice D remains the most correct answer as the other choices have amounts too much for a small teaspoon.
Q #3: 7x - 6= 3x - 26 Solve the equation above for x. Which of the following is the value for x?

A. -5

B. 6

C. 5

D. -8

Answer Explanation

Here we collect like terms together and solve for the unknown value of x.

7x-6=3x-26

Add 6 to both sides of the equation

7x-6+6=3x-26+6

7x=3x-20

Subtract 3x from both sides of the equation

7x-3x=-20

4x=-20

Divide both sides by 4

4x/-4=-20/4

x = -5

The value of x = -5

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