A ball is thrown straight into the air with an initial velocity of 28 m/s. A) How high does the ball get? B) How long does it take for the ball to get to its maximum height?
A ball is thrown straight into the air with an initial velocity of 28 m/s. A) How high does the ball get? B) How long does it take for the ball to get to its maximum height?
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Transcribed Image Text:Background:
Kinematics is the study of motion. Kinetics is the study of what causes motion. If the
motion has a constant acceleration, then some useful mathematical relationships can be
derived:
Constant Acceleration Equations
Vf = vị + at
1
Ax = vịt +-
Definition of Work
W = FAx
Definition of Kinetic Energy
v} = v} + 2aAx
mv²
KE =
2
Newton's Second Law
Work-Kinetic Energy Theorem
W= ΔΚΕ
F = ma
Objective:
Get acquainted with the constant acceleration equations, Newton's 2nd Law of motion, and
Work and Energy. Learn to apply these equations to solve problems in 1-D.
Procedure:
Perform the indicated calculations. Use a coordinate system always; use a Free Body
Diagram (FBD) when necessary.
1. A ball is thrown straight into the air with an initial velocity of 28 m/s. A) How high does
the ball get? B) How long does it take for the ball to get to its maximum height?
2. A ball is dropped from a height of 20 m above the ground. A) How much time does it
take to reach the ground? B) What is the velocity of the ball right before it hits the
ground?
3. A 15 kg block is pushed from rest across the floor with a force of 51 N. A) What is the
acceleration of the block? B) After traveling 12 m, what is the velocity of the block?
4. Calculate the work done on the block in Problem 3 using two methods:
a. Definition of Work.
b. Work - Kinetic Energy Theorem.
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