The answer is:
1.8 meters.
Explanation:
An athlete swinging can be considered a pendulum.
The pendulum's maximum height is the point at which it changes direction, which means that its velocity is equal to zero. In this point, for the mechanical energy conservation, all its kinetic energy is transformed into potential energy. Similarly, when the pendulum is at its resting position (when the athlete grabs the rope), its energy is totally kinetic.
Therefore we can say that:
Solving for h:
As we can see, the maximum height is independent on the mass and on the length of the rope, therefore it will be the same for the 100kg-athlete as it is for the 50kg-athlete, since their initial speeds are the same.
We know that the <span>50kg-athlete reached a height of 1.8 m, h</span>ence, the maximum height reached by the 100kg-athlete will be
1.8 m.
Answer:
85 miles .
Explanation:
Displacement along the 110 South freeway = 260 - 150 = 110 miles
Displacement along the 110 North freeway = 150 - 175 = - 25 miles
Net displacement = 110 - 25 = 85 miles
So Joey's displacement from the 260 mile marker is 85 miles .
Answer:
Er = 231.76 V/m, 27.23° to the left of E1
Explanation:
To find the resultant electric field, you can use the component method. Where you add the respective x-component and y-component of each vector:
E1:
E2:
Keep in mind that the x component of electric field E2 is directed to the left.
∑x:
∑y:
The magnitud of the resulting electric field can be found using pythagorean theorem. For the direction, we will use trigonometry.
or 27.23° to the left of E1.
Particles in a SOLID have a small amount of energy, vibrate, and are stuck in place?
The gravitational forces between two masses are inversely proportional to
the square of the distance between the centers of the masses.
So if the distance between the <u>centers</u> of the asteroids is multiplied by 1/2,
then the gravitational forces between them are multiplied by ...
1 / (1/2)² = (2)² = 4 .
The new force is (100N) x (4) = <em>400N</em>.