Use the momentum vs. time graph below to answer the following questions. let east be the positive direction & west be the negative direction. express all answers in the appropriate mks units. momentum vs. time graph a.) identify when the object was not moving. b.) over what period of time was the object speeding up? to c.) over what period of time was the object slowing down? to d.) over what period of time was the object's speed constant? to e.) state the magnitude & direction of the object's impulse during the following 3 time frames: 0 to 150 s → 150 to 200 s → 200 to 250 s → f.) determine the magnitude & direction of the object's total impulse. g.) state the magnitude & direction of the net force on the object during the following 3 time frames: 0 to 150 s → 150 to 200 s → 200 to 250 s →

The de broglie relation λ=h/p can be rewritten in terms of the wave number k as p=kℏ. recall that wave number is defined by k=2π/λ. using the fact that λ=v/f, find the wave numbers k1 and k2 corresponding to frequencies f1 and f2. express your answer as two expressions

Air is held within a frictionless piston-cylinder container, which is oriented vertically. the mass of the piston is 0.45 kg and the cross-sectional area is 0.0030 m2. initially (state 1) the pressure of the gas is sufficient to support the weight of the piston as well as the force exerted by the atmospheric pressure ( 101.32 kpa). the volume occupied by the air within the cylinder in state 1 is 1.00 liter. one end of a spring (with spring constant k = 1000 n/m) is attached to the top of the piston, while the other end of the spring is attached to a stage that can move vertically. initially the spring is undeflected and therefore exerts no force. then the stage is then moved quasistatically downward a distance of 10.0 cm, at which point the system reaches state 2. the piston-cylinder is not insulated; rather it remains in diathermal contact with the surroundings, which are at a constant temperature of 300 k. what is the change of pressure within the container?

A0.580-kg rock is tied to the end of a string and is swung in a circle with a radius of 0.500 meters. the velocity of the rock is 4.50 m/s. what is the centripetal force acting on the rock? 15.5 n 5.22 n 69.8 n 23.5 n