<span>Centripetal
force is easily calculated as long as you know the mass, </span>m, of the object; its distance, r, from the center; and the tangential velocity, v. This equation is based on the metric system; note that the
centripetal force, f, is measured in Newtons.
F = mv^2 / r
19 N = m ( 0.54^2) / ( 0.36)
Solve for m
<span>M = 23.5 kg</span>
Answer:
<em>The density of rock = 3.37 g/cm³</em>
Explanation:
Density: Density can be defined as the ratio of the mass of a body to the volume. The S.I unit of density is kg/m³. It can be expressed mathematically as ,
D = M/V............................................... Equation 1
Where D = density of the body, M = mass of the body, V = volume of the body.
From Archimedes' principle, a body will displace a volume of water equal to its volume.
Therefore, Volume of the object = volume of water displaced
<em>Given: M = 300 g, V = volume of water displace = 89.0 cm³.</em>
<em>Substituting these values into equation 1</em>
<em>D = 300/89</em>
<em>D = 3.37 g/cm³</em>
<em>The density of rock = 3.37 g/cm³</em>
Answer:
v= 3.18 m/s
Explanation:
Given that
m= 150 g = 0.15 kg
M= 240 g = 0.24 kg
Angular speed ,ω = 150 rpm
The speed in rad/s
ω = 15.7 rad/s
The distance of center of mass from 150 g
r= 20.30 cm
The speed of the mass 150 g
v= ω r
v= 20.30 x 15.7 cm/s
v= 318.71 cm/s
v= 3.18 m/s
Answer:
1) The car is slowing down
2) A = 40N forward & B = 25N up
Explanation:
Whenever you're dealing with forces on moving objects, it is important to look at each of the numbers and the directions they're going in.
With the racecar, we see it has four forces on it, 2,000 N up and down, 8,000 back, and 6,000 N forward. Now, each of these forces are going in their respective directions, but they are most in comparison with the force going in the opposite direction (vertical axis, horizontal axis). The two 2,000 N forces will cancel each other out since there is an equal force in both directions, causing a net force of <u>0 N on the vertical axis</u>. This is because the car is most likely moving on a flat surface. As for the horizontal axis, we simply subtract 6,000 & 8,000 to get a net force of <u>-2,000 N in the backwards direction</u>, telling us that the car is slowing down.
As for the boxes, we see the same vertical and horizontal axes, but separated to each box. Box A has a net force of <u>40 N in the forward direction</u> and Box B has a net force of <u>25 N in the upward direction</u>.
Answer:
Explanation:
Magnetic field due to a solenoid
B = μ₀ nI where n is no of turns per unit length and I is current
for outer layer of turns
B = μ₀ x (250 / .3) x 3
= 4π x 10⁻⁷ x (250 / .3) x 3
= 3.14 x 10⁻³ T
for inner layer of turns
B = μ₀ x (300 / .3) x 3
= 4π x 10⁻⁷ x (300 / .3) x 3
= 3.77 x 10⁻³ T
Total magnetic field
= (3.14 + 3.77 ) x 10⁻³ T
= 6.91 x 10⁻³ T .
