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:
The typical weight of a human heart is approximately 0.93 lbs.
Explanation:
Based on this,
the heart's weight constitutes about 0.5% of total body mass.
Total human weight = 185 lbs
Let the entire body weight be represented as w and the heart's weight as
.
We aim to determine the heart's weight for a human
Using the provided information

Where, h = heart weight
w = human weight


The final weight of a human heart is 0.93 lbs.
Answer:
A rock weighing 50kg should be positioned at a distance of 0.5m from the pivot of the seesaw.
Explanation:
τchild=τrock
We will utilize the formula for torque:
(F)child(d)child)=(F)rock(d)rock)
The gravitational force acts equally on both objects.
(m)childg(d)child)=(m)rockg(d)rock)
We can eliminate gravity from both sides of the equation for simplification.
(m)child(d)child)=(m)rock(d)rock)
Now employing the given masses for the rock and child. The seesaw's total length is 2 meters, with the child sitting at one end, placing them 1 meter from the center of the seesaw.
(25kg)(1m)=(50kg)drock
Solve for the distance where the rock should be positioned in relation to the seesaw's center.
drock=25kg⋅m50kg
drock=0.5m
Answer:
(a) 16.777 miles
(b) Yes, he exceeded the speed limit
Explanation:
(a)
We need to perform the necessary calculations to convert kilometers to miles:

Thus, the distance of the trip in miles is:

(b)
Next, we will compute the man's speed during the journey:

Before that, we must convert minutes to hours:

The resulting speed is:

Consequently:

Thus, it can be concluded that the driver was speeding