A basketball player drops a 0.5 kg basketball vertically so that it is traveling at 5.0 m/s when it reaches the floor. The ball rebounds upward at a speed of 3.2 m/s. The ball is in contact with the ground for a time of 10 ms. Draw a sketch of the situation, labeling all of the physical quantities given in the problem. Identify your system in the sketch. Make sure all relevant moments in time are shown in your sketch.

Determine the velocity of the crate when t = 4 s. Express your answer to three significant figures and include the appropriate units. The coefficient of kinetic friction between the 55-kg crate and the ground is μk = 0.3. The crate starts from rest, and P = 240 N. (Figure 1) Part A Figure 30° ✓ 1 of 1 НА ? v = Value Units Submit Request Answer Part B Determine the distance the crate travels when t = 4 s. Express your answer to three significant figures and include the appropriate units. НА ? 8 = Value Units Submit Request Answer Provide Feedback

A rocket with a mass of 2.70x106 kg exerts a vertical force of 3.40×107 N on the gases it expels. ▼ Part A Determine the acceleration of the rocket. Assume g remains constant, and ignore the mass of gas expelled (not realistic). Express your answer using two significant figures. VE ΑΣΦ Submit Dart R Request Answer ? m/s²

Big Boris (90kg) skates backward, 1.0 meter ahead of small skater Sofia (45 kg) , holding her hand as they travel 3.0 "/s . At the 30-second mark, Boris starts pulling Sofia past him, so that by 32.0 s she is 1.0 m ahead of him. During that move, what was Sofia's average velocity, relative to Boris? -0.5 m/s -2.0 m/s +2.0 m/s -1.0 m/s +0.5 m/s +1.0 m/s

Question 3. The cart shown in figure below moves with constant deceleration changing the speed from v0 = 5 m/s to v1 = 1 m/s. After 2 seconds when it reaches the speed v1 it suddenly stops. Write the displacement of the mass as a function of time. Mass m moves without friction on the surface of the cart. Assume positive direction from left to right (direction of motion of the cart). Numerical values: m = 2 kg, k = 1.152 kN/m. V k Ans: x(t) = 3.472 cos 24 t + 41.6 sin 24 t (mm) m L

2. In a scifi movie about astronauts on a space station, one of the astronaut's safety line is cut while on a space walk. The astronaut, who 10 meters from the shuttle and is moving 0.1 m/s away from it, finds that the suit's thruster pack has also been damaged and no longer works and that only 30 seconds of air remains. To get back to the shuttle, the astronaut unstraps a 10-kg tool kit and throws it away with a speed of 5 m/s. In the scene, the astronaut, who has a mass of 100 kg without the toolkit, survives. Is this reasonable?

If you free the cork in a highly pressurized champagne bottle, the resulting launch of the cork will, in principle, cause the bottle to recoil. A filled champagne bottle has a mass of 1.8 kg. The cork has a mass of 7.5 g and is launched at 18 m/s. Part A If the bottle could move freely, with what speed would it recoil? Express your answer with the appropriate units. HA Value Units Vbottle = Submit Request Answer Part B Complete previous part(s) Provide Feedback HP All-in-One hp REDESIGNED. RELIABLE. READY FOR YOU Power New, colorful ripple pattern

A cart that rolls with low friction on a track is originally at rest. It is given a brief push, and it coasts a long distance along a track in the +x direction, slowly coming to a stop. Study graphs (A) - (C) below, which do not have the vertical axes labeled. One is a position (x) versus time graph, one is a momentum (px) versus time graph, and one is a net force (Fnet,x) versus time graph. Label the vertical (y-) axis of each of the graphs, and explain how you made your determination. (A) (B) (C) t

A round with a mass of m = 18.5 g is shot out of a gun that has length L = 1.18 m. The round spends t = 0.19 s in the barrel. 1)Write an expression, in terms of the given quantities, for the magnitude of the round's acceleration, a, as it travels through the gun's barrel. You may assume the acceleration is constant throughout the motion.  2) Calculate the numerical value for the magnitude of the round’s acceleration, a in m/s2.  3)What is the numerical value of the net force FNET in newtons acting on the round?

A block of mass m1 = 11.5 kg slides along a horizontal surface (with friction, μk = 0.21) a distance d = 2.15 m before striking a second block of mass m2 = 8.25 kg. The first block has an initial velocity of v = 8.25 m/s. 1. Assuming that block one stops after it collides with block two, what is block two's velocity after impact in m/s?  2. How far does block two travel, d2 in meters, before coming to rest after the collision?