A 120-kg astronaut is riding in a rocket sled that is sliding along an inclined plane. The sled has a horizontal component of acceleration of 5.0 m/s² and a downward component of 3.8 m/s². Calculate the magnitude of the force on the rider by the sled. (Hint: Remember that gravitational acceleration must be considered.)
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- Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 12,200 kg. The thrust of its engines is 27,000 N. (Assume that the gravitational acceleration on the Moon is 1.67 m/s².) (a) Calculate (in m/s²) its magnitude of acceleration in a vertical takeoff from the Moon. m/s² (b) Could it lift off from Earth? If not, why not? Yes, the thrust of the module's engines is equal to its weight on Earth. ◇ No, the thrust of the module's engines is equal to its weight on Earth. No, the thrust of the module's engines is less than its weight on Earth. Yes, the thrust of the module's engines is greater than its weight on Earth. If it could, calculate (in m/s²) the magnitude of its acceleration. (If not, enter NONE.) m/s²Two blocks A and B with mA = 0.9 kg and mB = 0.80 kg are connected by a string of negligible mass. They rest on a frictionless horizontal surface. You pull on block A with a horizontal force of 7.8 N. (A) Find the magnitude of the acceleration (in m/s2) of the blocks. (B) Determine the tension (in N) in the string connecting the two blocks.Consider two blocks connected . Block A has mass 2.00 kg, and block B has mass 5.00 kg. The table on which B sits is frictionless, the cord connecting the blocks is light and flexible, and the pulley is light and frictionless. The horizontal force F S has magnitude F = 20.0 N, and block B moves to the left with an acceleration of 1.50 m/s2. What is the tension in the cord that connects the two blocks?
- A box of mass m, = 5 kg and a box of mass m,=2.5 kg are connected with a cord of negligible mass over a frictionless and massless pulley. The two objects are released from rest. The box is placed on a frictionless incline of angle 0 = 23°. (please use g = 9.8 m. m. 1. Calculate the magnitude of the acceleration of the masses with its unit: a = 4.6025 X m s^(-2) v 2. Calculate the magnitude of the tension in the cord with its unit: T= 25 X N 3. The box is sliding upward sliding downwardx not slidingTwo objects are connected by a massless cable passing over a frictionless pulley. Object A is positioned on a table, while object B hangs freely. The coefficient of kinetic friction between object A and the table is 0.09950. If the mass of object A is 150 kg, and the mass of object B is 238 kg, what is the acceleration of the objects?A flea jumps by exerting a force of 1.28 × 10-5 N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 0.660 x 10-6 N on the flea. Find the direction and magnitude of the acceleration of the flea if its mass is 6.50 x 10-7 kg. Do not neglect the gravitational force. (Assume that the breeze blows in the +x-direction and that the +y-direction is up.) magnitude m/s2 direction o counterclockwise from the +x-axis Additional Materials
- A 43.2 kg video cart is rolled down a hallway. It is accelerated at 0.30 m/s^2. If a force of 27 N is applied to move the cart, what force of friction do the wheels have against the floor?A 92.4 kg person is standing inside an elevator. The person is riding the elevator from the 12th floor down to the 3rd floor (a distance of 30.8 m). As the elevator passes the 4th floor it is slows at a rate of 0.620 m/s^2. What is the magnitude of the normal force acting on the person as the elevator passes the 4th floor?A 83.2 kg person is standing inside an elevator. The elevator is moving upward at 2.54 m/s and is decreasing speed at a rate of 1.82 m/s^2. What is the normal force that is acting on the person?