You are about to do a back squat. You place a 20 kg plate on one end of the bar and mistakenly place a 40 kg plate on the other end of the bar. The bar is 2 m long and has a mass of 20 kg without the plates on it. The 20 kg plate is located 0.4 m from the left end of the bar and the 40 kg plate is located 0.4 m from the right end of the bar. How far (m) from the right end of the bar is the center of gravity located?

Two objects are shown with masses and velocities. The objects collide. 14 Kg 2 m/s 8 m/s 6 Kg

Kramer goes bowling and decides to employ the force of gravity to "pick up a spare." He rolls the 6.50 kg bowling ball very slowly so that it comes to rest a center-to-center distance of 0.245 m from the one remaining 2.00 kg bowling pin. Treat both the ball and the pin as point objects, and determine the magnitude of the force of gravity ?⃗ grav between them.

A 4,600 kg open train car is rolling on frictionless rails at 21.1 m/s when it starts pouring rain. A while later the car's speed is 19.5 m/s. What mass of water has collected in the car? Provide your answer in appropriate units of meters (m), seconds (s), kilograms (kg), radians (rad) or combinations thereof, such as m/s or m/s^2. Use at least three significant figures in your answer, do not use scientific notation. Using more significant figures will not be considered incorrect; using fewer may lead to errors due to rounding.

An astronaut is a short distance from her space station without a tether rope or jet pack. She does have a large wrench. To move herself toward the space station she could, a) throw the wrench directly toward the station, b) throw the wrench parallel to the orbit of the station, c) throw the wrench away from the station or d) throw the wrench toward the space station without letting go of it.

The centers of the earth and its moon are separated by an average of 3.84 c 10^5 m and the moon's mass is 7.35 c 10^22 kg. What does Earth's moon exert on a 10 kg mass?

I have attempted the forumlas above multiple times and my answer I am getting for Yg is .0958m.  I have entered it as .096, .095, .0958 and each time I am being told answer is wrong.  Is there an issue with my calculation?

Two stars in a binary system orbit around their center of mass. The centers of the two stars are 6.96x10¹¹ m apart. The larger of the two stars has a mass of 4.46x10³0 kg, and its center is 1.86x10¹¹ m from the system's center of mass. What is the mass of the smaller star?

A 0.25 kg mass of clay is moving with a horizontal velocity of v when it collides and sticks to a 5 kg object hanging from the end of a 1 meter long rod. Find the minimum velocity v so that the objects will make one complete revolution.

Two stars in a binary system orbit around their center of mass. The centers of the two stars are 6.91x1011 m apart. The larger of the two stars has a mass of 4.17x1030 kg, and its center is 2.22x1011 m from the system's center of mass. What is the mass of the smaller star?