Answer:
The force of static friction is 17.15 N
Explanation:
It is given that,
Mass of the bucket, m = 5 kg
The coefficient of static friction is, 
We need to find the maximum force of static friction. It is given by :


F = 17.15 N
So, the force of static friction is 17.15 N. Hence, this is the required solution.
Answer:
the Princess in "St. George and the Dragon"
Answer:
<em>The speed of the projectile when it impacts the ground is 1000 m/s</em>
Explanation:
<u>Vertical Launch</u>
When an object is launched vertically and upwards it starts to move at an initial speed vo, then the acceleration of gravity makes that speed to reduce until it reaches 0. The object has reached its maximum height. Then, it starts to move downwards in free fall, with initial speed zero and gradually increasing it until it reaches the ground level. We will demonstrate that the speed it has when impacts the ground is the same (and opposite) as the initial speed vo.
The speed when the object is moving upwards is given by

The time it takes to reach the maximum height is when vf=0, i.e.

solving for t

The maximum height reached is

Then, the object starts to fall. The object's height is given by

where t' is the time the object has traveled downwards. The height will be 0 again when

Solving for t'

We can see the time it takes to reach the maximum height is the same it takes to return to ground level. Of course, the speed when it happens is

Thus, the speed of the projectile when it impacts the ground is 1000 m/s
Answer:
Work done is 12.3 J
Explanation:
We have,
Mass of puck, m = 0.35 kg
Force of friction acting on the puck when it slides is 0.15 N
Distance travelled by the puck is 82 m.
It is required to find the work done on the puck. Finally the puck comes to rest and the force of friction is acting on it. It means the applied force is 0.15 N. Work done is given by

The work done on the puck is 12.3 J.
Lindsay should fly the plane in the direction [W 12.5° S] to get Hamilton.
Using Sine rule to solve this question
Sine rule => SinA/a = SinB/b = SinC/c = constant
The magnitude of wind is 50 with an angle of 60 degrees.
The magnitude of plane is 200 and the angle at which it should fly is unknown and should be θ.
One side is 50 km/hr at an angle of 60 degrees.
sin 60°/200 = sin θ / 50
50 × sin 60° = 200 × sin θ
√3/2 = 4 × sin θ
√3/8 = sin θ
sin θ = 0.2165
θ = sin⁻¹(0.2165)
θ = 12.5°
So Lindsay have to fly the plane in the direction of [W 12.5° S].
Learn more about Sine Rule here:
brainly.com/question/27174058
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