Answer:
Explanation:
The cross section area of the cable is
Let g = 9.81m/s2. The stress acting on the cable when mass is added is
The strain when the cable is stretched from 4.76 to 5.43 m is
So the young modulus of the cable is
Answer:
It is changing at the same rate at all points.
A velocity vector represents the rate of change of the position of an object. The magnitude of a velocity vector gives the speed of an object while the vector direction gives its direction. Velocity vectors can be added or subtracted according to the principles of vector addition.
Explanation:
Velocity as a Vector Quantity
Velocity is a vector quantity that refers to "the rate at which an object changes its position." Imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. While this might result in a frenzy of activity, it would result in a zero velocity. Because the person always returns to the original position, the motion would never result in a change in position. Since velocity is defined as the rate at which the position changes, this motion results in zero velocity. If a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. Every step must go into moving that person further from where he or she started. For certain, the person should never change directions and begin to return to the starting position.
Velocity is a vector quantity. As such, velocity is direction aware. When evaluating the velocity of an object, one must keep track of direction. It would not be enough to say that an object has a velocity of 55 mi/hr. One must include direction information in order to fully describe the velocity of the object. For instance, you must describe an object's velocity as being 55 mi/hr, east. This is one of the essential differences between speed and velocity. Speed is a scalar quantity and does not keep track of direction; velocity is a vector quantity and is direction aware.
The acceleration of the cart is zero
Explanation:
There are 4 forces acting on the cart:
- The 3 forces of F=15 N each, applied forward by three boys
- The force of F'=45 N applied backward by the horse
So we can write Newton's second law of motion as:
where
m is the mass of the cart
a is its acceleration
Here we have
m = 20 kg
So we can solve the equation for a, the acceleration of the cart:
This means that the acceleration of the cart is zero, because the force applied by the horse perfectly balance the forces applied by the three boys.
Learn more about acceleration and forces:
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The law of conservation of momentum says that the total momentum in the system before and after the collision remains the same. Remember that <em>p = mv </em>(where p is momentum, m is mass, and v is velocity). To find the total momentum in the system, add up the momentum of each component.
Before the collision:
The momentum of the first cart is m*v = 1.5 * 1.2 = 1.8.
The momentum of the second cart is m*v = 0.75 * 0 = 0.
The total momentum is 1.8.
After the collision:
(where x is the unknown velocity):
The momentum of the first cart is m*v = 1.5x
The momentum of the second card is m*v = 0.75 * 2 = 1.5.
The total momentum is 1.5x + 1.5. Because of conservation of momentum, you know this is equal to the momentum before the collision:
1.8 = 1.5x + 1.5
Subtracting 1.5 from both sides:
0.3 = 1.5x
And dividing by 1.5:
x = 0.2 m/s forward (you know it is forward because it is positive)
Answer: 
,
Explanation:
Given
Missile velocity raises from 0 to 
Time taken 
Convert velocity into m/s
Acceleration is the change of velocity w.r.t time
In terms of gravity, it is
Therefore, acceleration in terms of g is
