Answer:
the moment of force is 25 Nm.
Explanation:
Given;
weight of the book, F = 50 N
distance through which his hand was stretched, d = 50 cm = 0.5 m
The moment of force is calculated as;
moment of force = F x r
moment of force = 50 N x 0.5 m
moment of force = 25 Nm
Therefore, the moment of force is 25 Nm.
The gravitational potential energy of an object depends on three things. Its mass, its height above the surface of the earth and the pull of gravity (which is assumed to always be 9.8 m/s².
The Formula for finding the GPE is : m x g x h where m = mass, g = gravitational acceleration and h is height from earth's surface.
Using this formula we can find that :
GPE= 75 x 9.8 x 300 = 220500J (where J is the SI unit for GPE and stands for Joules.
Answer:
h = 0.0259 m
Explanation:
given,
diameter of the cone = 0.0208 m
radius,r = 0.0104 m
angle of inclination,θ = 18°
initial angular velocity, ω_i = 56 rad/s
final angular velocity ,ω_f = 0 rad/s
height, h = ?
Rotational kinetic energy
Moment of inertia of coin
so,
Transnational Kinetic energy
v = r ω
now,
using conservation energy
Kinetic energy of the coin is converted into the potential energy
KE_r + KE_t = PE
h = 0.0259 m
Vertical height gain by the coin is equal to 0.0259 m
<span>b) The force with a distance of 150 km is 889 N
c) The force with a distance of 50 km is 8000 N
This question looks like a mixture of a question and a critique of a previous answer. I'll attempt to address the original question.
Since the radius of the spherical objects isn't mentioned anywhere, I will assume that the distance from the center of each spherical object is what's being given. The gravitational force between two masses is given as
F = (G M1 M2)/r^2
where
F = Force
G = gravitational constant
M1 = Mass 1
M2 = Mass 2
r = distance between center of masses for the two masses.
So with a r value of 100 km, we have a force of 2000 Newtons. If we change the distance to 150 km, that increases the distance by a factor of 1.5 and since the force varies with the inverse square, we get the original force divided by 2.25. And 2000 / 2.25 = 888.88888.... when rounded to 3 digits gives us 889.
Looking at what looks like an answer of 890 in the question is explainable as someone rounding incorrectly to 2 significant digits.
If the distance is changed to 50 km from the original 100 km, then you have half the distance (50/100 = 0.5) and the squaring will give you a new divisor of 0.25, and 2000 / 0.25 = 8000. So the force increases to 8000 Newtons.</span>
