Answer:
The torque on the wrench is 4.188 Nm
Explanation:
Let r = xi + yj where is the distance of the applied force to the origin.
Since x = 18 cm = 0.18 cm and y = 5.5 cm = 0.055 cm,
r = 0.18i + 0.055j
The applied force f = 88i - 23j
The torque τ = r × F
So, τ = r × F = (0.18i + 0.055j) × (88i - 23j) = 0.18i × 88i + 0.18i × -23j + 0.055j × 88i + 0.055j × -23j
= (0.18 × 88)i × i + (0.18 × -23)i × j + (0.055 × 88)j × i + (0.055 × -22)j × j
= (0.18 × 88) × 0 + (0.18 × -23) × k + (0.055 × 88) × (-k) + (0.055 × -22) × 0 since i × i = 0, j × j = 0, i × j = k and j × i = -k
= 0 - 4.14k + 0.0484(-k) + 0
= -4.14k - 0.0484k
= -4.1884k Nm
≅ -4.188k Nm
So, the torque on the wrench is 4.188 Nm
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
The power created is 
Explanation:
From the question we are told that
The that the average power is mathematically represented as
Where W is is the Workdone which is mathematically represented as
Where F is the applies force and s is the displacement due to the force
So
Now this displacement can be represented mathematically as
Where 
is the average velocity and 
is the time taken
So
=>
Explanation:
It is given that,
Mass of the car 1, 
Initial speed of car 1, 
(east)
Mass of the car 2, 
Initial speed of car 2, 
(north)
(b) As the cars stick together. It is a case of inelastic collision. Let V is the common speed after the collision. Using the conservation of momentum as :
The magnitude of speed,
V = 12.22 m/s
(b) Let 
is the direction the wreckage move just after the collision. It is given by :
Hence, this is the required solution.
The answer is adequate nutrition, regular physical activity, and practical ways to reduce calories while retaining important nutrients.
Explanation:
Despite that adequate nutrition, regular physical activity, and practical ways to reduce calories while retaining important nutrients is one of the best strategy to reducing weight, most time it is very difficult for those that want to reduce or control their weight to discipline themselves enough to follow these routine. But one an individual that want to loose weight or live a healthy lifestyle is able to follow these procedures he/she will surely loose weight.
