Answer:
Explanation:
A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. ... The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a2 + b2 = c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle.
Answer:
<em>F= 99 N</em>
Explanation:
<u>Dynamics and Kinematics</u>
This problem is a combination of dynamics and kinematics because we need formulas and concepts of both branches of physics to solve it.
We need to calculate the force required to launch horizontally a pumpkin of m=1 Kg a distance of d=10 m away from a height of h=5 m.
Since the force is:
F = m.a
We need to calculate the acceleration required to move the pumpkin from rest (vo=0) to the launching speed (vf) in a time t=0.1 seconds.
The acceleration can be calculated by using the kinematic equation:
The final launching speed vf can be calculated knowing the height and maximum horizontal distance reached by the pumpkin.
When an object is thrown horizontally with a speed vf from a height h, the range or maximum horizontal distance traveled by the object can be calculated as follows:
Solving for vf:
Substituting:
Calculating:
Now we calculate the acceleration:
Thus, the force required is:
F= 99 N
Answer:
T = 10 s
Explanation:
First, we need to find the frequency of the object as follows:
where,
Speed = Angular Speed = 6 rpm
Therefore,
Now, for time period (T):
<u>T = 10 s</u>
Answer
given,
mass of the ball = 300 g
= 0.3 Kg
maximum altitude of the ball = 10.1 m
Potential energy of the softball:
PE = m g h
PE = 0.3 x 9.8 x 10.1
PE = 29.69 J
Maximum kinetic energy at which the ball is released from hand to reach height of 10.1 m is 29.69 J.
Kinetic energy at which ball returns to your hand is equal to 29.69 J.
speed of the ball
v² = 197.93
v = 14.069 m/s