Core Vector Review

The sum of 2 vector forces is <5, -3>.  What is the magnitude of the resulting force?

• mag: 16

• mag: 5.831

• mag: 34

• mag: 4

John and Danny, own a strong and stubborn puppy named Dexter. It is so hard to take Dexter for a walk that they devise a scheme to use 2 leashes. If John and Danny pull with forces of 23 lbs and 27 lbs at the angles shown, how hard is Dexter pulling if the puppy holds the children at a standstill?

Hint: see notes pg 69 ex 5

• 50 lbs

• 47.954 lbs

• 48.073 lbs

• 48.461 lbs

What is the resulting net force?

• 14.422 newtons north

• 20 newtons north

• 4 newtons south

• 4 newtons north

• 20 newtons south

What is the magnitude of the resulting force ?

• 18.727 Newtons

• 20 Newtons

• 4 Newtons

• 8.082 Newtons

What is the magnitude of the resulting force?

Round to 3 decimal places

_________ Newtons

ENTER NUMBER ONLY

Mathematical Equivalence

ON

Shirley, Scott, and Dan are pushing this trunk across the floor. Shirley is pushing with a force of 185 N at 0° while Scott pushes with a force of 165 N at 30° and Dan applies a force of 195 N at 300°.  Which is the correct work to find the resulting force?

• 
• 
• 
• 

Which diagram shows the correct resulting force?

• 
• 
• 
• 

Which is the correct math for converting this vector to component form?

What is the component form of this vector? Round to 3 decimal places. Make sure you are in degree mode.

• $<3.473,\ -3.597>$

• $<-3.473,\ 3.597>$

• $<-135.482,\ 11.766>$

• $<-3.597,\ 3.473>$

• $<-5,5>$

Which is the correct math for converting this vector to component form?

•  $<10\cos58\degree,10\sin58\degree>$  

•  $<10\cos238\degree,10\sin238\degree>$  

•  $<10\cos122\degree,10\sin122\degree>$  

•  $<10\cos\left(-58\degree\right),10\sin\left(-58\degree\right)>$