The small mass m = 3.5 kg and big mass M = 5.8 kg are initially at rest with the small mass at the top of the inclined surface. The small mass will start sliding down the large mass M without friction. The large mass itself is also free to move on a frictionless horizontal surface. Given that h = 4.6 meter, what will the magnitude of the velocity of the mass Mwhen it reaches the horizontal surface? Take g =9.81 m/s2 Provide your answer with 2 decimal places. h M

A lamp hangs vertically from a cord in a descending elevator that decelerates at 1.7 m/s2. (a) If the tension in the cord is 63 N, what is the lamp's mass? (b) What is the cord's tension when the elevator ascends with an upward acceleration of 1.7 m/s2?

A woman pulls a cloth out from under a 200 g bowl sitting on a table. The bowl is 30.0 cm from the far edge of the cloth, and the cloth exerts a friction force of 0.125 N on the bowl. Assume the cloth is pulled with a constant horizontal acceleration of 2.80 m/s2. What distance (in m) does the bowl travel relative to the top of the table? (Assume the cloth moves in the +x-direction and notice that it moves more than 30.0 cm relative to the top of the table.)

A wrench is dropped from the top of a tall tower. It takes 3.07 s to reach the ground. How tall is the tower, in meters? Assume the wrench’s initial velocity is zero, use 9.80 m/s2 as the acceleration due to gravity, and assume air drag does not matter.

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/s²

A 60 kg skydiver falls, beginning at rest.  This isn't an ordinary skydive though, because it's taking place on an alien planet where g = 8 m/s2.  The drag force on the skydiver is given by FD = -0.14 v   (N).  Calculate the speed of the skydiver after they have fallen for 322 s, in m/s. (Please answer to the fourth decimal place - i.e 14.3225)

A descending elevator is subject to a constant rate of acceleration, dropping 50.0 m as it goes from an initial velocity of 15.0 m/ downward, to rest. As a percentage of the occupants' masses, what is their apparent weight? 66% 77% 100% 123% 134%

A 140 kg wooden crate resting on a wood floor. The coefficients of stattic and kinetic friction here are μs =0.5 and μk=0.3. WHat maximum force, in newtons, can you exert horizontally on the crate without moving it? If you continue to extert this force once the crate starts to slip, what will its accelertation be in m/s2?

A fuzzy die (m = 0.2 kg) hangs from the ceiling of a car. When the car accelerates forward along a horizontal road, the die swings backward so that the string supporting it makes an angle of 4° with the vertical. What is the acceleration of the car?

A robot pushes a 20-kg box on the horizontal surface as part of the moving job. The force is 35 N to the left shown, and the box does not move. The coefficients of friction between the floor and box are µs = 0.75 and uk = 0.40. What is the minimum pushing force (magnitude only) needed to move the box, in Newtons? Useg = 10 m/s². Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.