Hi everyone,
Could someone please show me how to prove this?
Homework Statement
Determine |A U B| in terms of |A| and |B| assuming that A and B are disjoint
Homework Equations
The Attempt at a Solution
I know that A U B must be finite because A and B are disjoint, but...
Well, in the problem it states that the two objects are separated by .420 m. Is that what you mean? Thus, the 41.0 object is at .420 m, right?
Thank you
[SOLVED] gravitational field
Homework Statement
How much work is done by the Moon's gravitational field as a 1100kg meteor comes in from outer space and impacts on the Moon's surface?
Homework Equations
W=GMm/r
The Attempt at a Solution
W=6.67 X 10^-11(6 X 10^22)(1100kg)/1.5 X...
Thank you
The triangle is placed in the second quadrent, where m3 is at (0,0) m2 is at (-4,0)m and m1 is at (0,3)
Does this look correct?
F32=-6.67X10^-11Nm^2/kg(5.5kg)(4kg)/4^2= -9.2 X 10^-11i
F13= -6.67X10^-11Nm^2/kg^2(4)(2)/3^2= 5.9X10^-11j
Thank you
It's in the middle. Is that what you mean? So, wouldn't you just take
6.67 X 10^-11(145)(41/2)/.42^2?
6.67 X 10^-11(445kg)(41.0kg)/2/(.42)^2?
Thank you
Hi everyone,
Could someone please help me with this problem?
Homework Statement
Three uniform spheres of mass m1=2.00kg, 4.00kg, and m2=5.50 kg are placed at the corners of a right triangle. Calculate the resultant gravitational force on the 4.00 kg object, assuming the spheres are...
Thank you very much
Could you please tell me if a. looks correct?
For part b., would you just take the first one plus the middle one plus the third one and set it equal to the total force and solve for the middle one?
Thank you
Hello everyone,
Could someone please help me with this problem?
Homework Statement
A 145kg object and a 445kg object are separated by .420m.
a. Find the net gravitational force exerted by these objects on a 41.0kg object placed midway between them.
b. At what position can the 41.0kg...
Thank you very much
Could you please explain to me how to find one of these? Once I can find one, I can find the others. It seems like there isn't enough information given, because the 11.5 s is not used in any of the equations, right?
Thank you
Hi everyone,
Could someone please help me with this problem?
Homework Statement
A simple harmonic oscillator takes 11.5s to undergo four complete vibrations.
a. Find the period of its motion
b. Find the frequency in Hertz
c. Find the angular frequency in radians per second...
Hi everyone,
Could someone please help me with this problem?
Homework Statement
In an engine, a piston oscilates with simple harmonic motion so that its position varies according to the following expression, where x is in centimeters and t is in seconds.
x=5.00cmcos(3t+pi/5)
a. At...
Hi everyone,
Could someone please help me with this problem?
Homework Statement
Determine the gravitational foce that you exert on another persona 1.00 m away. Assume that you and the other person are point masses of 73.0 kg each.
Homework Equations
F=Gm1(m2)/r^2
The Attempt...
Homework Statement
A rod of length 38.5 cm has linear density (mass-per-length) given by the following equation, where x is the distance from one end.
λ=50.0g/m+16.5g/m^2
a. What is its mass in g?
b. How far from the x=0 end is its center of mass in m?
Homework Equations
The...
Homework Statement
A ball of mass .110 kg is dropped from rest from a height of 1.25 m. It rebounds from the floor to reach a height of .800 m. What impulse was given to the ball by the floor?
Homework Equations
I=ΣFΔt
Δp=I
The Attempt at a Solution
Could someone please tell...
Homework Statement
A 3.00 kg stell ball strikes a wall with a speed of 9.0m/s at an angle of 60° with the surface. It bounces off with the same speed and angle. If the ball is in contact with the wall for .200 s, what is the average force exerted by the wall on the ball?
Homework...
Would it be like this?
Integral (2xi+5yj)(idx)|0 to 4.96=
integral 0 to 4.96(2x)dx=
2xx|0 to 4.56=
2x^2|0 to 4.56=
41.6
Work done in the y direction=0
Total work=41.6J
Thank you
Thank you very much
Could you tell me if this is correct?
a. As it falls 50m, what is the work done on the raindrop by the gravitational force?
Wouldn't this be 0J? Because when it is perpendicular the work is 0, right?
b. What is the work done on the raindrop by air resistance...
Homework Statement
A motorist drives south at 24.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 3.00 min, and finally travels northwest at 30.0 m/s for 1.00 min. For this 7.00 min trip, find the following values.
a. Total vector displacement displacement
b. Average speed
c...
Homework Statement
A raindrop of mass 3.07 X 10^-5 kg falls vertically at constant speed under the influence of gravity and air resistance. Model the drop as a particle.
a. As it falls 50m, what is the work done on the raindrop by the gravitational force?
b. What is the work done on the...
"work" problem
Homework Statement
A force F(2xi+5yi)N acts on an object as it moves in the x direction from the origin to x=4.96m. Find the work W=integral vector F(dr) done by the force on the object
Homework Equations
The Attempt at a Solution
integral 0 to 4.96...
Homework Statement
Vector A has a magnitude of 5.00 units, and vector B has a magnitude of 9.00 units. The two vectors make an angle of 49° with each other. Find (vector A)(vector B)
Homework Equations
The Attempt at a Solution
(5i+0j)(0i+9j)=
(5N)(0m)+(0N)(9m)=
square root...
Homework Statement
Prove that |x+y|</|x|+|y|
Homework Equations
The Attempt at a Solution
Assume that x and y are real numbers.
|5+2|</|5|+|7|
7</7
|-5-2|</|-5|+|-2|
7</7
I know that it is true by testing different numbers, but I'm not sure how to prove it. Could someone...