The mass of cart A is 2.18 kg. The mass of cart B is 1.86 kg. The mass of cart C is 2.81 kg. Cart A rolls without friction on a plane that is inclined at an angle theta = θ = 27 degrees away from vertical (as shown in the diagram). Carts B and C roll without friction on a plane that is inclined at an angle phi = φ = 18 degrees away from horizontal (as shown in the diagram). Ignore friction throughout this problem. Assume that the only forces acting on the carts are tension forces, normal forces (including forces exerted by each other), and gravity with g = 9.81 m/s2. Calculate the acceleration of cart C (in units of m/s2). The sign, positive or negative, of your answer is important. Assume an acceleration pointing to the right and down the ramp is positive. Draw three free body diagrams, one for each cart (or block) in the problem. Each diagram can refer to only one object! Beneath each diagram, write out Newton's second law as it refers to that object. Write out the second law using symbols, not numbers. Writing "net force = m a" does not qualify because that could be written for any object. The symbols and subscripts should clearly refer to specific forces in each diagram. After you have done the above, you may begin combining equations to solve the problem. This can be done with symbols or numbers, but include units in your equations.
Gravitational force
In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.
Acceleration Due to Gravity
In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.
ASAP please!!!
This question refers to the three carts as arranged in the INCLINED PLANE DIAGRAM above.
The mass of cart A is 2.18 kg. The mass of cart B is 1.86 kg. The mass of cart C is 2.81 kg. Cart A rolls without friction on a plane that is inclined at an angle theta = θ = 27 degrees away from vertical (as shown in the diagram). Carts B and C roll without friction on a plane that is inclined at an angle phi = φ = 18 degrees away from horizontal (as shown in the diagram).
Ignore friction throughout this problem. Assume that the only forces acting on the carts are tension forces, normal forces (including forces exerted by each other), and gravity with g = 9.81 m/s2. Calculate the acceleration of cart C (in units of m/s2). The sign, positive or negative, of your answer is important. Assume an acceleration pointing to the right and down the ramp is positive.
Draw three free body diagrams, one for each cart (or block) in the problem. Each diagram can refer to only one object!
Beneath each diagram, write out Newton's second law as it refers to that object. Write out the second law using symbols, not numbers. Writing "net force = m a" does not qualify because that could be written for any object. The symbols and subscripts should clearly refer to specific forces in each diagram.
After you have done the above, you may begin combining equations to solve the problem. This can be done with symbols or numbers, but include units in your equations.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
