Answer:
The equivalent stiffness of the string is 8.93 N/m.
Explanation:
Given that,
Spring stiffness is
According to figure,
and is in series
We need to calculate the equivalent
Using formula for series
Put the value into the formula
k and is in parallel
We need to calculate the k'
Using formula for parallel
Put the value into the formula
,k' and is in series
We need to calculate the equivalent stiffness of the spring
Using formula for series
Put the value into the formula
Hence, The equivalent stiffness of the string is 8.93 N/m.
Answer:
2.45 m/s²
Explanation:
From the question,
On the Earth
W = mg.................. Equation 1
Where W = weight of the alien on the earth, m = mass of the alien on the earth, g = acceleration due to gravity of the earth.
Make m the subject of equation 1
m = W/g................... Equation 2
Given: W = 3200 N
Constant: 9.8 m/s²
Substitute these value into equation 2
m = 3200/9.8
m = 326.5 kg.
Similarly,
On planet 9,
W' = mg'............... Equation 3
Where W' = weight of the alien on planet 9, g' = acceleration due to gravity on planet 9.
make g' the subject of the equation
g' = W'/m............ Equation 4
Given: W' = 800 N
Substitute into equation 4
g' = 800/326.5
g' = 2.45 m/s²
All the 4 processes are correct answer to change the state of matter. Hope it helps.
ANSWER:
0.0562 J
STEP-BY-STEP EXPLANATION:
Angular momentum is expressed in terms of moment of inertia and angular velocity. This is expressed as follows:
Here, I is the angular momentum and ω is the angular velocity.
Angular momentum is mass time the square of the radius of the object. Moment of inertia for a uniform disk is given as,
Here, m is the mass of the disk and r is the radius of the disk.
Replacing:
Convert the units of angular velocity into rad/s.
We replace each data to calculate the angular momentum:
The angular momentum of the uniform disk is 0.0562 J
Answer:
The resultant field will have a magnitude of 241.71 V/m, 30.28° to the left of E1.
Explanation:
To find the resultant electric fields, you simply need to add the vectors representing both electric field E1 and electric field E2. You can do this by using the component method, where you add the x-component and y-component of each vector:
E1 = 99 V/m, 0° from the y-axis
E1x = 0 V/m
E1y = 99 V/m, up
E2 = 164 V/m, 48° from y-axis
E2x = 164*sin(48°) V/m, to the left
E2y = 164*cos(48°) V/m, up
To find the magnitude of the resultant vector, we use the pythagorean theorem. To find the direction, we use trigonometry.
The direction from the y-axis will be:
° to the left of E1.