A ball whirls around on the end of a string, moving in a circle at a constant speed of 3.0 m/s. If it experiences an acceleration of 3 m/s², how long (in m) is the string? If the string in the previous problem is replaced by a string 2.40 m long but the acceleration remains unchanged, what is the ball's new speed (in m/s)?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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Instructions: Complete the following problems and submit answers
on Blackboard. Note: the numbers in these problems are subject to
change. Use this file to help figure out how to solve the problems,
then use the numbers given on the submission page to calculate the
answers.
Problems:
1. A ball whirls around on the end of a string, moving in a circle at
a constant speed of 3.0 m/s. If it experiences an acceleration of
3 m/s, how long (in m) is the string?
2. If the string in the previous problem is replaced by a string 2.40
m long but the acceleration remains unchanged, what is the
ball's new speed (in m/s)?
3. A hang glider is traveling at a speed of 11 m/s when it enters a
horizontal turn with a radius of 12 m. What is the
eration
(in m/s?) of the hang glider?
4. If the hang glider from the previous problem (with its pilot) has
a mass of 130 kg, what is the centripetal force on the glider (in
N)?
5. In the figure above, a 3.00 kg ball is traveling in a circle of
radius 1.00 m at a constant speed of 10.0 m/s. What is the
tension (in N) in the string?
6. The Earth has a mass of 5.97 * 104 kg and the Sun has a mass
of 2.00 * 1030 kg. If they are separated by a distance of 1.50 *
10° km, what is the force (in N) between the Earth and the
Sun? (Enter your answer in scientific notation: 1.23E12 means
1.23 * 1012)
7. Repeat the previous problem using centripetal forces. Assume
the Earth travels in a perfect circle around the Sun, with
masses and distances given above, and takes 365.25 days to
complete a complete circle. What is the centripetal force (in N)
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