Judy is pulling on a trunk with a 12-N force. Ike pulls at right angles to Judy. With how much force must Ike pull to make the r
esultant force on the trunk 20 N? Round answer to one decimal place.
1 answer:
To understand the problem, let's first draw a free body diagram of the forces exerted by Judy and Ike on the truck. (Refer to the left side of the attachment).
To solve for the resultant, we just use the tip-to-tail method. This is illustrated on the right side of the attachment.
We can see that the tip-to-tail method forms a right triangle thus we can just apply the Pythagorean theorem in solving for Ike's force.
ANSWER: Ike must pull the truck with a force of 16.0 N.
To solve for the resultant, we just use the tip-to-tail method. This is illustrated on the right side of the attachment.
We can see that the tip-to-tail method forms a right triangle thus we can just apply the Pythagorean theorem in solving for Ike's force.
ANSWER: Ike must pull the truck with a force of 16.0 N.
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<h2>Steps:</h2>
So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:
Next, divide both sides by 2:
Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:
-8 ÷ 2 = -4, (-4)² = 16
Add 16 to both sides of the equation:
Next, factor the left side:
Next, square root both sides of the equation:
Next, add 4 to both sides of the equation:
Now, while this is your answer, you can further simplify the radical using the product rule of radicals:
- Product rule of radicals: √ab = √a × √b
√12 = √4 × √3 = 2√3.
In exact form, your answer is
In approximate form, your answers are (rounded to the hundreths)