Four particles with masses 2 kg, 5 kg, 2 kg, and 2 kg are connected by rigid rods of negligible mass as shown. assume the system
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Answer:
Baseball mass:
Explanation:
Circumference of a baseball is calculated using 2πr = 23 cm
Thus, the radius comes out to be 3.66 cm, which equals m
The mass density of the baseball matches that of a neutron or proton.
Proton mass = kg
Proton diameter = m
Proton radius = m
Volume of the baseball is
Now by substituting all values into the mass per unit volume equation for the baseball, we get:
Therefore, the baseball mass amounts to
Answer:
1)
2)
Explanation:
Projectile Motion
When an object is projected near the surface of the Earth at an angle to the horizontal, it follows a trajectory known as a parabola. The only force acting on it (ignoring wind resistance) is gravity, affecting the vertical axis.
The height of a projectile can be calculated using
where represents the initial height from ground level,
is the vertical component of the initial velocity, and t is the elapsed time.
The vertical speed component is expressed as
1) To proceed, we will determine the initial vertical velocity component since we lack sufficient data to calculate the absolute value of .
The peak height is attained when , which allows us to compute the time to reach that height.
Solving for
Thus, the maximum height reached is
We know this value is equal to 8 meters
Continuing with the calculations for
Substituting known values yields
2) At t=1.505 seconds, the ball is positioned above Julie’s head; we can calculate
Answer:
Explanation:
The beacon is rotating at an angular speed of
so we have
We know that
At this point we have
So we can conclude with