Answer:
(b) Torque will increase.
Explanation:
Torque is given as the product of force and moment arm (radius).
τ = F x r
F = τ / r
where;
F is force
τ is torque
r is radius (moment arm)
Keeping force constant, we will have the following;
τ ∝ r
This shows that torque is directly proportional moment arm (radius), thus increase in moment arm, will cause increase in torque.
For instance;
let the constant force = 5 N
let the initial moment arm, r = 2m
Torque, τ = 5 N x 2m = 10 Nm
When the moment arm is increased to 4 m
Torque, τ = 5 N x 4m = 20 Nm
Therefore, at a constant force, increasing in the Moment arm, will cause increase in torque.
Coorect option is "(b) Torque will increase."
The position compared to that of home is a reference to displacement, I believe.
Displacement = x total - x initial
So I believe the answer is 5 blocks due north (if you’re walking linearly from your home), unless the questions is referring to relative displacement, in which then you’d need to use the Pythagorean theorem to find the hypotenuse between both positions. And then you’d have to find theta for the degrees between the south direction and the other unmentioned direction. But I don’t think that’s the case.
Distance refers to x total and doesn’t care for direction, as this refers to a scalar quantity opposed to a vector. Thus the equation is just
d = x
So 8 blocks + 3 blocks = a distance of eleven blocks walked total
Explanation:
If we assume negligible air resistance and heat loss, we can assume that all of the Gravitational potential energy of the ball will turn into Kinetic energy as it falls toward the ground.
Therefore our Kinetic energy = mgh = (10kg)(9.81N/kg)(100m) = 9,810J.
A) 17.9 cm
We have:
is the focal length of the mirror (for concave mirror, the focal length is positive)
is the distance between the object and the mirror
is the distance between the image and the mirror
We can then use the mirror equation to find q:
![\frac{1}{f}=\frac{1}{p}+\frac{1}{q}\\\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{15 cm}-\frac{1}{91.5 cm}=0.056 cm^{-1}\\q=\frac{1}{0.056 cm^{-1}}=17.9 cm](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bf%7D%3D%5Cfrac%7B1%7D%7Bp%7D%2B%5Cfrac%7B1%7D%7Bq%7D%5C%5C%5Cfrac%7B1%7D%7Bq%7D%3D%5Cfrac%7B1%7D%7Bf%7D-%5Cfrac%7B1%7D%7Bp%7D%3D%5Cfrac%7B1%7D%7B15%20cm%7D-%5Cfrac%7B1%7D%7B91.5%20cm%7D%3D0.056%20cm%5E%7B-1%7D%5C%5Cq%3D%5Cfrac%7B1%7D%7B0.056%20cm%5E%7B-1%7D%7D%3D17.9%20cm)
B) -5.0 cm
The height of the image can be determined by using the magnification equation:
![\frac{q}{p}=-\frac{h_i}{h_o}](https://tex.z-dn.net/?f=%5Cfrac%7Bq%7D%7Bp%7D%3D-%5Cfrac%7Bh_i%7D%7Bh_o%7D)
where
is the heigth of the image
is the height of the object
Substituting and re-arranging the formula, we find
![h_i = -h_o \frac{q}{p}=-(25.4 cm)\frac{17.9 cm}{91.5 cm}=-5.0 cm](https://tex.z-dn.net/?f=h_i%20%3D%20-h_o%20%5Cfrac%7Bq%7D%7Bp%7D%3D-%2825.4%20cm%29%5Cfrac%7B17.9%20cm%7D%7B91.5%20cm%7D%3D-5.0%20cm)
And the negative sign means the image is inverted.
Answer:
the change in potential energy is proportional to the displacement from the equilibrium position.
Explanation:
Simple Harmonic Motion is said to occur when an object is oscillating around a particular position where is it in equilibrium by a force with the following features:
The force has to be directed towards the equilibrium position and secondly, the magnitude of the force is proportional to the displacement from the equilibrium position of the object.