A bicycle tire is spinning counterclockwise at 2.70 rad/s. During a time period At 1.90 s, the tire is stopped and spun in the o
1 answer:
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A. the direction the object is moving in will not change.
B. the acceleration of the object will be 0 m/s2
Explanation:
We can answer this problem by using Newton's second law of motion:
where
is the net force acting on an object
m is the mass of the object
a is its acceleration
In this problem, all the forces acting on the object are balanced, therefore the net force is zero:
which means that also the acceleration is zero:
Acceleration is equal to the rate of change of velocity: therefore, zero acceleration means that the velocity of the object does not change. We can now analyze the given statements:
A. the direction the object is moving in will not change. --> TRUE, because the velocity is not changing.
B. the acceleration of the object will be 0 m/s2 --> TRUE, as we stated above
c. the object will not be in motion. --> FALSE: we just know that its velocity is constant, but it can be different from zero
D. the velocity of the object will be 0 m/s. --> FALSE, for the same reason stated in C
Learn more about Newton's second law of motion:
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The speed of the object increases
Explanation:
We can answer this question by applying the work-energy theorem, which states that the work done on an object is equal to the change in kinetic energy of the object. Mathematically:
where
W is the work done on the object
are the final and initial kinetic energy of the object, respectively
m is the mass of the object
v is its final speed
u is its initial speed
In this case, the force does a positive amount of work on the object, so
This also implies that
And so
And therefore
which means that the speed of the object increases.
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