Answer:
Explanation:
total weight acting downwards
= 3g + 10g
13 g
volume of lead = 10 / 11.3 = .885 cm³
Let the volume of bobber submerged in water be v in floating position . buoyant force on bobber = v x 1 x g
Buoyant force on lead = .885 x 1 x g
total buoyant force = vg + .885 g
For floating
vg + .885 g = 13 g
v = 12.115 cm³
total volume of bobber
= 4/3 x 3.14 x 2³
= 33.5 cm³
fraction of volume submerged
= 12.115 / 33.5
= .36
= 36 %
Answer:
2.5 m
Explanation:
Weight of billboard worker = 800 N
Number of ropes = 2
Length of scaffold = 4 m
Weight of scaffold = 500 N
Tension in rope = 550 N
The sum of the torques will be

The position of the person will be 2.5 m
<h2>Answer:</h2>
<u>Angular velocity of bicycle tire is 15.78 radians per second.</u>
<h3>Explanation:</h3>
Angular velocity is the change in angular speed of an object with respect to time take for change or it is the rate of change of circular motion.
In the given question the circular displacement is 25 rounds around a central point.
The angular displacement is measured in degrees and 1 round is equal to 360 degrees.
25 Rounds = 25 × 360 = 9000 degrees.
Angular velocity = angular displacement /time = 9000/10 = 900 degrees per second.
In SI,angular velocity is represented in radians per second.
So, 1 radian = 57.29 degrees
Angular velocity = 15.78 radians per second
Answer:
Two possible points
<em>x= 0.67 cm to the right of q1</em>
<em>x= 2 cm to the left of q1</em>
Explanation:
<u>Electrostatic Forces</u>
If two point charges q1 and q2 are at a distance d, there is an electrostatic force between them with magnitude

We need to place a charge q3 someplace between q1 and q2 so the net force on it is zero, thus the force from 1 to 3 (F13) equals to the force from 2 to 3 (F23). The charge q3 is assumed to be placed at a distance x to the right of q1, and (2 cm - x) to the left of q2. Let's compute both forces recalling that q1=1, q2=4q and q3=q.





Equating


Operating and simplifying

To solve for x, we must take square roots in boths sides of the equation. It's very important to recall the square root has two possible signs, because it will lead us to 2 possible answer to the problem.

Assuming the positive sign
:




Since x is positive, the charge q3 has zero net force between charges q1 and q2. Now, we set the square root as negative



The negative sign of x means q3 is located to the left of q1 (assumed in the origin).
Mass is the amount of matter present in an object, it also determines the strength of the mutual gravitational force of an object to another object. Volume is the amount of space that the object occupies. Meanwhile, density is the amount of mass per volume of an object, with that formula, we can say that density is directly proportional to the mass but indirectly proportional to the volume.