# College physics - Center of mass

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### College physics - Center of mass

College Physics- Center of Mass? The objects in the figure below are constructed of uniform wire bent into the shapes shown (Figure 1) . Each peice has a length of 0.15 . There are two objects that we need to figure out the x- and y-coordinates of the center of mass of the ...

### college physics help please...

The location of the center of mass of the partially eaten, 11 inch diameter pizza (r = 5.5) shown in Figure 9-20 is Xcm = -1.1 in. and Ycm = -1.1 in. Assuming each quadrant of the pizza to be the same, find the center of mass of the uneaten pizza above the x axis (that is, the...

### Physics

A uniform piece of wire, 30 cm long, is bent in the center to give it an L-shape. How far from the bend is the center of mass? I know that the center of mass is ([m1]x+[m2]x)/([m1]+m2]), but I don't quite understand how to apply it to this problem.

### Ap physics 1

The mass of a star in a galaxy far, far away, is 3.12 × 105 Earth masses, and the mean distance from the center of this star to the center of a planet with the same mass as our Earth is 2.46 × 108 km. Treating this planet and star as particles,with each mass concentrated at ...

### Physics

The mass of a star in a galaxy far, far away, is 2.13 × 105 Earth masses, and the mean distance from the center of this star to the center of a planet with the same mass as our Earth is 7.87 × 108 km. Treating this planet and star as particles, with each mass concentrated at...

### Physics

two point masses are located in the same plane. the distance from mass 1 to the center of mass is 3.0m. The distance from mass 2 to the center of mass is 1.0m. What is m1/m2, the ratio of mass 1 to mass 2?

### physics

For the purposes of this problem, there are three parts to the figure, and the center of mass of each one is shown in the drawing. These parts are: (1) the torso, neck, and head (total mass = 40.4 kg) with a center of mass located on the y axis at a point 0.403 m above the ...

### College Physics

The three bodies in the figure each have the same mass. If one of the bodies is moved 11.3 cm in the positive x-direction, by how much does the center of mass move?

### physics

Find the center of mass of the three mass system given that m1 1.90 kg and m2 1.30 kg Specify relative to the center of the left mass "1.00 kg "

### physics

To balance a 40.8-kg automobile tire and wheel, a mechanic must place a 41.7-g lead weight 25.0 cm from the center of the wheel. When the wheel is balanced, its center of mass is exactly at the center of the wheel. How far from the center of the wheel was its center of mass ...

### physics

To balance a 29.8 kg automobile tire and wheel, a mechanic must place a 58.2 g lead weight 25.0 cm from the center of the wheel. When the wheel is balanced, its center of mass is exactly at the center of the wheel. How far from the center of the wheel was its center of mass ...

### COLLEGE PHYSICS

Find the x and y coordinates of the center of gravity of a 4ft by 8ft uniform sheet of plywood with the upper right quadrant removed? with out mass of the plywood how do go about calculating the center gravity for x/y coordinates?

### Physics

I understand the basics of the center of mass, but I'm having a hard time with this wire one: "A uniform piece of wire, 20 cm long, is bent in the center to give it an L-shape. How far from the bend is the center of mass?" If you could help that'd be great. Thank you!

### Physics

Find the center of mass of two objects, one of mass M and one of mass m, separated by distance L? At R1 = L * (1 - m/(m+M)) from m and R2 = m * L/(m+M) from M At R1 = L^2 x (1 - m/(m+M)) from m and R2 = m * L^2/(m+M) from M At R1 = m * L/(m+M) from m and R2 = L * (1 - m/(m+M...

### physics

A NON-UNIFORM board of length L and mass M has a center of mass at 5/6L. If the fulcrum is placed at the center of the board and a block of mass m is placed at the right of the board, then where must a block of mass 3m be placed to balance the board? I assumed new variables ...

### physics

Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.78x1011 m apart. The larger of the two stars has a mass of 4.19x1030 kg, and its center is 1.75x1011 m from the system's center of mass. What is the mass of the smaller star?

### physics

The drawing shows a human figure approximately in a sitting position. For the purposes of this problem, there are three parts to the figure, and the center of mass of each one is shown in the drawing. These parts are: (1) the torso, neck, and head (total mass = 40.5 kg) with a...

### physics

The drawing shows a human figure approximately in a sitting position. For the purposes of this problem, there are three parts to the figure, and the center of mass of each one is shown in the drawing. These parts are: (1) the torso, neck, and head (total mass = 40.5 kg) with a...

### Physics-torques

Suppose that a meter stick is balanced at its center. A 0.27-kg is positioned at 18 cm from the left end of the meter stick. Where should a 0.28 kg mass be placed to balance the 0.27 kg mass? Express your answer in terms of the position (in cm) of the 0.28-kg mass as measured ...

### Physics

On a frictionless table, a glob of clay of mass 0.54 kg strikes a bar of mass 1.24 kg perpendicularly at a point 0.27 m from the center of the bar and sticks to it. 1. If the bar is 1.02 m long and the clay is moving at 6.3 m/s before striking the bar, what is the final speed ...

### Physics

Center of mass of a body coincides with its center of gravity irrespective of its mass and size 1. True 2.False

### Physics

Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.80 x 10^11 m apart. The larger of the two stars has a mass of 3.50 x 10^30 kg, and its center is 3.00 x 10^11 m from the system's center of mass. What is the mass of the smaller ...

### ap physics c

Hi What is the center of mass of the following object measured from the center of the sphere?: a sphere of radius R and mass m2 is connected to a solid tube of mass m1 and length L Thank you!

### physics

Compute the force of attraction between a 25 kg. mass and a 45 kg. mass that are 9.6 meters apart from center to center.

### College Physics

You are holding a shopping basket at the grocery store with two 0.69-kg cartons of cereal at the left end of the basket. The basket is 0.90 m long. Where should you place a 1.8-kg half gallon of milk, relative to the left end of the basket, so that the center of mass of your ...

### Physics

Two balls are approaching each other head on. Their velocities are + 9.55 and -11.0 m/s (a) Determine the velocity of the center of mass of the two balls if they have the same mass. (b) Determine the velocity of the center of mass of the two balls if the mass of one ball(v=9....

### Physics

A 28 kg canoe has a 24 kg passenger. The passenger is 2.0 m from the left end of the canoe and the center of mass of the canoe by itself is 2.9 m from the left end. a. Calculate the position of the center of mass of the canoe/passenger system. b. if we neglect any horizontal ...

### Physics

Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.80 1011 m apart. The larger of the two stars has a mass of 3.50 1030 kg, and its center is 3.00 1011 m from the system's center of mass. What is the mass of the smaller star?

### Physics

Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.80 1011 m apart. The larger of the two stars has a mass of 3.50 1030 kg, and its center is 3.00 1011 m from the system's center of mass. What is the mass of the smaller star?

### Physics

Two stars in a binary system orbit around their center of mass. The centers of the two stars are 7.40 1011 m apart. The larger of the two stars has a mass of 3.40 1030 kg, and its center is 2.50 1011 m from the system's center of mass. What is the mass of the smaller star?

### physics! center of mass

a long non uniform board of length 8 m and mass m = 12 kg is suspended by two ropes if the tensions in the ropes are mg/3 (on left) and 2mg/3 (on right) what is the location of the board's center of mass thank you!

### physics! center of mass

a long non uniform board of length 8 m and mass m = 12 kg is suspended by two ropes if the tensions in the ropes are mg/3 (on left) and 2mg/3 (on right) what is the location of the board's center of mass thank you!

### physics

What is the net gravitational field due the sun and earth at the center of the moon? You are given that the mass of the sun in 1.99 x 10^30 and the mass of the earth is 5.97 x 10^24. The distance from the center of the sun to the center of the earth is 1.496 x 10^8 and the ...

### physics

two planets of masses "m" and "M" respectively. have a center to center separation of "R".At what distance from the center of the planet of mass"M" do the gravitational force of planets cancel each other?????

### physics

two planets of masses "m" and "M" respectively. have a center to center separation of "R".At what distance from the center of the planet of mass"M" do the gravitational force of planets cancel each other????? help me plzzz??????

### physics

A rod of length 39.0 cm has linear density (mass-per-length) given by the following equation, where x is the distance from one end. ë = 50.0 g/m + 21.0x g/m2 (a) What is its mass? (b) How far from the x = 0 end is its center of mass? I think you would plug in the 39cm for the...

### physics

A thin, light string is wrapped around the rim of a 4.00kg solid uniform disk that is 30.0cm in diameter. A person pulls on the string with a constant force of 100N tangent to the disk. Find the linear acceleration of its center of mass. If the disk is replaced by a hollow ...

### Physics Classical Mechanics

The mean distance from the center of the earth to the center of the moon is rem = 3.84 × 108 m. The mass of the earth is me = 5.98 × 1024 kg and the mass of the moon is mm = 7.34 × 1022 kg. The mean radius of the earth is re = 6.37 × 106 m. The mean radius of the moon is ...

### Physics

To determine the location of his center of mass, a physics student lies on a lightweight plank supported by two scales L = 2.40 m apart If the left scale reads 278 N, and the right scale reads 116 N, calculate the student's mass. Calculate the distance from the student's head ...

### physics

To determine the location of his center of mass, a physics student lies on a lightweight plank supported by two scales L = 2.44 m apart. If the left scale reads 309 N, and the right scale reads 125 N, calculate the student's mass. Calculate the distance from the student's head...

### College Physics

A 27.7-cm-by-27.7-cm checkerboard has a mass of 103.1 g. There are four 27.7-g checkers located on the checkerboard, as shown in the figure. Relative to the origin located at the bottom left corner of the checkerboard, where is the center of mass of the checkerboard-checkers ...

### College Physics

Three weights are attached to the corners of an equilateral triangle (side length 10 cm) made from stiff but very light wire. Measured from the bottom left corner, what is the center of mass of this object if M1 = 0.1 kg, M2 = 0.2 kg, and M3 = 0.3 kg?

### Physics

How far is the center of mass of the Earth-Moon system from the center of the Earth? The Earth's mass is 5.97×1024 kg, the Moon's mass is 7.4×1022 kg, and the distance between their centers is 3.8×108 m.

### Physics

How far is the center of mass of the Earth-Moon system from the center of the Earth? The Earth's mass is 5.97e24 Kg, the Moon's mass is 7.4e22 Kg, and the distance between their centers is 3.8e8m.

### Physics

John’s mass is 81.0 kg, and Barbara’s is 62.4 kg. He is standing on the x axis at xJ = +9.41 m, while she is standing on the x axis at xB = +4.34 m. They switch positions. How far and in which direction does their center of mass move as a result of the switch? Distance ...

### physics

A uniform, square metal plate with side L = 3.50 cm and mass 0.087 kg is located with its lower left corner at (x, y) = (0, 0) as shown in the figure. Two squares with side length L/4 are removed from the plate. (a) What is the x-coordinate of the center of mass? (b) What is ...

### physics

The drawing shows three particles that are moving with different velocities. Two of the particles have mass m, and the third has a mass 2m. The third particle has a velocity of v3 = +5.1 m/s. At the instant shown, the center of mass (cm) of the three particles is at the ...

### Physics

If the create has a mass of 90 kg and is 1.6 {\rm m} tall and 0.80 {\rm m} in depth and width, what is the minimum force needed to make the crate start tipping? (Assume the center of mass of the crate is at its center and static friction great enough to prevent slipping.)

### college physics

A wet towel of mass 4 kg is hung in the center of a 6 m clothesline, so that the line makes an angle 10o with the horizontal. The tension in the line is closest to... 50N, 40N, 100N, 200N, or 10N

### College Physics

Two tiny, spherical water drops, with identical charges of -7.10 x 10-16 C, have a center-to-center separation of 1.23 cm. (a) What is the magnitude of the electrostatic force acting between them? (b) How many excess electrons are on each drop, giving it its charge imbalance?

### Physics please help

How far from the center of the Earth (in km) is the center of mass of the Earth + satellite system if the satellite has a mass of 6560 kg and is in orbit 46200 km above the surface of the Earth. The mass of the Earth is 5.98 * 10^24 kg and the radius of the Earth is 6370 km.

### Physics - Center of Mass

The density of a 5.0-m long rod can be described by the linear density function λ(x) = 145 g/m + 14.2x g/m2. One end of the rod is positioned at x = 0 and the other at x = 5 m. a) Determine the total mass of the rod. b) Determine the center-of-mass coordinate.

### physics

a uniform meter bar of mass 120kg is sup ported on two knife edges 30cm from its center, with a diagram calculate the reactions at these supports when a 160kg mass is suspended 20cm from the center of gravity of the bar towards the left end

### phy

Find the center of mass of the three mass system that m1 = 1.90 kg and m2 = 1.30 kg. Specify relative to the center of the left hand (1.00 kg) mass.

### physics

The mass of the Earth is 5.98x10^24 kg, and the mass of the Moon is 7.36x 10^22 kg. The distance of separation, measured between their centers, is 3.84x10^8 m. Locate the center of mass of the Earth-Moon system as measured from the center of the Earth. I tried using the ...

### Physics help!

How far from the center of the Earth (in km) is the center of mass of the Earth + satellite system if the satellite has a mass of 6560 kg and is in orbit 46200 km above the surface of the Earth. The mass of the Earth is 5.98 * 10^24 kg and the radius of the Earth is 6370 km

### physics

A solid uniform sphere has a mass of 7.0 104 kg and a radius of 1.2 m. (a) What is the magnitude of the gravitational force due to the sphere on a particle of mass m = 0.7 kg located at a distance of 2.1 m from the center of the sphere? N (b) What if it is 1.0 m from the ...

### Physics: Centre of Mass

Three masses of 4.0 kg, 5.0 kg and 7.0 kg are located on a line at positions +4.0, +8.0, and -5.0 in meters from the origin, respectively. Where is the center of mass of these three masses? With respect to the origin as x = 0, I calculated the center of mass to be: (4.0 kg)*(4...

### Physics

A uniform disk of radius 0.5 m and mass 3.9 kg is rotating about its center of mass. Its moment of inertia about its center of mass is I=(1/2)mR^2. Its angular velocity as a function of time is given by (t)=7kt^6/t1^7 where k = 3.8 rad and t1= 5 s. Find the magnitude of the ...

### Physics

A sheet of siding has a centrally-located doorway of width 2.0 m and height 6.0 m cut out of it. The sheet, with the doorway hole, has a mass of 264 kg. (a) What is the x coordinate of the center of mass? (b) What is the y coordinate of the center of mass? Assume the lower ...

### Physics

A CD (radius 6.0 cm) is spinning freely with an angular velocity of 450 rpm when a bug drops onto the CD a distance 4.6 cm from the center. If the CD slows to 260 rpm, what is the ratio of the bug's mass to the mass of the CD? (Ignore the effect of the hole in the center of ...

### Physics

A star of mass 2.0 1028 kg that is 1.6 1020 m from the center of a galaxy revolves around that center once every 3.4 108 years. Assuming that this star is essentially at the edge of the galaxy, each of the stars in the galaxy has a mass equal to that of this star, and the ...

### physics Only one part left !!!!!! PLZ HELP

A uniform, square metal plate with side L = 3.50 cm and mass 0.087 kg is located with its lower left corner at (x, y) = (0, 0) as shown in the figure. Two squares with side length L/4 are removed from the plate. (a) What is the x-coordinate of the center of mass? = L/2 (b) ...

### physics Only one part left !!!!!! PLZ HELP

A uniform, square metal plate with side L = 3.50 cm and mass 0.087 kg is located with its lower left corner at (x, y) = (0, 0) as shown in the figure. Two squares with side length L/4 are removed from the plate. (a) What is the x-coordinate of the center of mass? = L/2 (b) ...

### physics

Consider the earth following its nearly circular orbit (dashed curve) about the sun.(Figure 2) The earth has mass mearth=5.98×1024kg and the sun has mass msun=1.99×1030kg. They are separated, center to center, by r=93millionmiles=150millionkm.

### Physics - Center of Mass

A 32-cm-by-32-cm checkerboard has a mass of 120 g. There are four 19-g checkers located on the checkerboard, as shown in the figure. Relative to the origin located at the bottom left corner of the checkerboard, where is the center of mass of the checkerboard-checkers system?

### College Physics

A uniform horizontal rod of mass M and length l rotates with angular velocity w (omega) about a vertical axis through its center. Attached to each end of the rod is a small mass m. Determine the angular momentum of the system about the axis. Write you're answer in terms of M, ...

### Physics

A round body of mass M, radius R, and moment of inertia I= BMR^2 is rolling without slipping. Its kinetic energy can be decomposed into the energy of its center of mass motion (translation) and the enrgy of rotation about its center of mass. The fractions of the body's kinetc ...

### Physics

A round body of mass M, radius R, and moment of inertia I= BMR^2 is rolling without slipping. Its kinetic energy can be decomposed into the energy of its center of mass motion (translation) and the enrgy of rotation about its center of mass. The fractions of the body's kinetc ...

### Physics

A round body of mass M, radius R, and moment of inertia I= BMR^2 is rolling without slipping. Its kinetic energy can be decomposed into the energy of its center of mass motion (translation) and the enrgy of rotation about its center of mass. The fractions of the body's kinetc ...

### physics

A high jumper wants to clear the bar at 2.1m. To do so he needs to raise his center of mass to a height of 2.4m. Assuming that air resistance can be neglected and his center of mass is 1.1m above the ground at take-off, determine the required vertical take-off speed.

### physics

A suspension bridge supported by a cable 100ft long has a sag of 10ft at its center. If the bridge has a weight of 20,000 lbs and its center of mass is the center of the bridge, what is the tension on the cable?

### physics

A star of mass 2.0 1031 kg that is 4.8 1020 m from the center of a galaxy revolves around that center once every 4.2 108 years. Assuming that this star is essentially at the edge of the galaxy, each of the stars in the galaxy has a mass equal to that of this star, and the ...

### physics

A bullet with mass m and a velocity of v is shot perpendicular to the edge of a uniform rod with length L and mass 4m which is free to move and rotate on a frictionless horizontal surface. The bullet is lodged into the rod and move together after the collision. a) Calculate ...

### physics

You are standing on a merry-go-round of mass 500 kg and radius 2 m. Initially you are at 1.2 m from the center and you are rotating with an angular speed of 45 rad/s. (a) If you move in to a point 0.2 m from the center, what speed will you be rotating at? Assume your mass is ...

### Physics

The uniform sheet of siding shown has a centrally-located doorway of width 2.0 m and height 6.0 m cut out of it. The sheet, with the doorway hole, has a mass of 264 kg. (a) What is the x coordinate of the center of mass? (b) What is the y coordinate of the center of mass? ...

### A physics question

I was researching amusement park rides for a recent project (from this site I have noticed that many others are in the same boat as me). Anywho, I am doing the Ferris wheel or the Giant Wheel, and I was wondering if this was right, with respect to potential energy: this is due...

### physics

A basketball of mass 0.602 kg is passed to a player of mass 83.0 kg who jumps off the floor while catching the ball. The player's center of mass is instantaneously at rest just before he catches the ball, which is initially moving at a velocity of 11.5 m/s, directed 30.0° ...

### Physics(please help)

Four very thin rods, each 8.3 m long, are joined to form a square. The center of mass of the square is located at the coordinate origin. The rod on the right is then removed. What are the x- and y-coordinates of the center of mass of the remaining three-rod system? I have no ...

### Physics

a 32 kg child stands at the edge of a circular platform that rotates at w=2rad/s about its center. Mass of platform=60kg, radius=2m. The child walks from the rim towards the center. Find the Angular speed when the child reaches a point 0.500 m from the center.

### physics

a. A stone is dropped at t = 0 s. A second stone, with a mass 2.0 times that of the first, is dropped from the same point at t = 0.25 s. How far from the release point is the center of mass of the two stones at t = 0.52 s? Assume that neither stone has yet reached the ground. ...

### Physics

A spaceship of mass m travels from the Earth to the Moon along a line that passes through the center of the Earth and the center of the Moon. (a) At what distance from the center of the Earth is the force due to the Earth five times the magnitude of the force due to the Moon? ...

### college pre-calculus

4x^2+4y^2-16x-24y+51=0 is the equation of a circle. where is the center of the circle and what is it's radius? A. center (2,3) radius=1/4 B. center (2,3) radius=1/2 C. center (-2,-3) radius=1/4 D. center (-2,-3) radius=1/2

### center of mass

3 point mass of 4g placed at x=1,3,-6. where should a point fourth mass of 4 gm be placed to make the center of the mass at the orgin? this what i got : -24+4+12+4x/16=-8+4x/16. this what i did but i didn't get the right answer(which is 2) can someone tell me what is the problem

### Physics

A stone is dropped at t = 0. A second stone, with 4 times the mass of the first, is dropped from the same point at t = 110 ms. (a) How far below the release point is the center of mass of the two stones at t = 410 ms? (Neither stone has yet reached the ground.) (b) How fast is...

### physics

A ball with radius 12cm rolls on a level surface, and the translational speed of the center of mass is 0.35 m/s. What is the angular speed about the center of mass if the ball rolls without slipping?

### physics

A bullet of mass = 0.13 kg is fired with a velocity of = 87.1 m/s into a solid cylinder of mass = 17.1 kg and radius = 0.29 m. The cylinder is initially at rest and is mounted on a fixed vertical axis that runs through its center of mass. The line of motion of the bullet is ...

### physics/calculus

I need help in calculating work. following quantites are given. * G: 6.67E-11 *Mass of earth:5.98E24 *mass of satelightt:80kg *x(initial) center of the earth-7E6 m *x(final) center of the earth 12E6 m How do I make integral equation I need use 20 interval.

### Physics

The density of a 5.0-m long rod can be described by the linear density function λ(x) = 140 g/m + 14.8x g/m2. One end of the rod is positioned at x = 0 and the other at x = 5 m. (a) Determine the total mass of the rod. (b) Determine the center-of-mass coordinate. I found ...

### Physics

The Hubble Space Telescope (HST) has recorded evidence of a black hole at the center of the M87 galaxy. Using Doppler data, it's been measured that matter is orbiting the center of this galaxy at an orbital speed of 7.5x10 5 m/s, out at a radius of 5.7x10 17 m. Calculate the ...

### Physics

Consider the earth following its nearly circular orbit about the sun. The earth has mass 5.98*10^24 and the sun has mass 1.99*10^30. They are separated, center to center, by r=150 million k. What is the size of the gravitational force acting on the earth due to the sun?

### physics

In the figure below, a constant horizontal force Fapp of magnitude 17 N is applied to a wheel of mass 8 kg and radius 0.70 m. The wheel rolls smoothly on the horizontal surface, and the acceleration of its center of mass has magnitude 0.75 m/s2. (a) In unit-vector notation, ...

### physics

The motion of a human body through space can be modeled as the motion of a particle at the body's center of mass. The components of the position of an athlete's center of mass from the beginning to the end of a certain jump are described by the following two equations, where t...

### PHYSICS

Chapter 07, Problem 48 Two particles are moving along the x axis. Particle 1 has a mass m1 and a velocity v1 = +5.0 m/s. Particle 2 has a mass m2 and a velocity v2 = -7.9 m/s. The velocity of the center of mass of these two particles is zero. In other words, the center of mass...

### Physics

Two balls are approaching each other head-on. Their velocities are +10.00 and -12.8 m/s. (a) Determine the velocity of the center of mass of the two balls if they have the same mass. m/s (b) Determine the velocity of the center of mass of the two balls if the mass of one ball...

### Physics

Belinda needs to find the center of mass of a sculpture she has made so that it will hang in a gallery correctly. The sculpture is all in one plane and consists of various shaped uniform objects with masses and sizes as shown. The length of the rectangle is L = 1.4 m and the ...

### physics

Three guns are aimed at the center of a circle,and each fires a bullet simultaneously. The directions in which they fire are 120 degrees apart. Two of the bullets have the same mass of 4.50*10^-3 kg and the same speed of 324 m/s. The other bullet has an unknown mass and a ...

### Physics

A spaceship of mass 175,000 kg travels from the Earth to the Moon along a line that passes through the center of the Earth and the center of the Moon. At what distance from the center of the Earth is the force due to the Earth twice the magnitude of the force due to the Moon? ...

### physics

A curcial part of a piece of machinery starts as a flat uniform cylindrical disk of radius R0 and mass M. It then has a circular hole of radius R1 drilled into it. The hole's center is a distance h from the center of the disk. Find the moment of inertia of this disk (with off-...