A straight 2.20 m wire carries a typical household current of 1.50 A (in one direction) at a location where the earth's magnetic
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Use Newton's second law to determine the acceleration being applied to the sled. There are three forces at work on the sled (its weight, the force normal to the ground, and friction) but two of them cancel, leaving friction as the only effective force. This vector is pointed in the opposite direction of the sled's movement, so if we take the direction of its movement to be the positive axis, we would find the acceleration due to the friction to be
Now we use the formula
to find the distance it travels. The sled comes to a rest, so , and let's take the starting position
to be the origin. Then the distance traveled
is
Answer: 2.83 minutes
Explanation:
It is understood that trains are approaching. That is, they have speeds of equal magnitude but opposite. When train A travels x meters northbound, then train B travels the same distance southbound.
Therefore trains approach at a speed of:
Then:
Where x is the distance between the trains
So the time in which both trains meet is:
This is:
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<em>How long will it be before they reach one another ?</em>
<h3>2.83 minutes</h3>Answer:
C) 19 m/s
Explanation:
The motion of the cannonball is a projectile motion, which consists of 2 independent motions:
- A uniform motion (constant velocity) along the horizontal direction
- A uniformly accelerated motion (constant acceleration) along the vertical direction
As a result, we have the following:
- The horizontal velocity of the cannonball remains constant during the motion, and it is given by
where
u = 25 m/s is the initial velocity
is the angle
Substituting,
- The vertical velocity keeps changing during the motion due to the acceleration of gravity. However, at the top of the trajectory, the vertical velocity is zero:
This means that at the top of its path, the cannonball has only horizontal velocity, so its velocity is
C) 19 m/s