A wrench 0.5 meters long lies along the positive y -axis, and grips a bolt at the origin. A force is applied in the direction of ⟨0,−1,3⟩ ⟨ 0 , − 1 , 3 ⟩ at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the bolt.

200N

Step-by-step explanation:

Torque is defined as the turning effect of force about a point. It is expressed as;

Torque = Force × radius

T = Fr

Given parameters

Torque = 100Nm

Radius = 0.5metres

Required

Magnitude of the force F

From the formula T = Fr

F = T/r

F = 100Nm/0.5m

F = 100/(1/2)

F = 100 × 2/1

F = 200Newtons

Hence the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the bolt is 200N

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.