Sam applies a force at 30° to the horizontal to move a football tackling dummy 10 m horizontally. He does 160 J of mechanical work. Determine the magnitude of the force by using vector dot product.

Step-by-step explanation:

We can find the horizontal component of force he applied by using the formula for work:

Solving for force, we have:

However he applied the original force at an angle of to the horizontal. This force of 16 newtons is only the horizontal component of that force. To find the magnitude of the original force, we can use basic trigonometry:

angles 1 and 3 are vertical angles, meaning that they are equal to each other. to solve this you may set angle 1 and 3 equal to each other and just solve for x like

110 = 2x + 10

100 = 2x

50 = x

check:

110 = 2* 50 + 10

110 = 100 + 10

110 = 110

hope this !

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35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105