A lab technician uses a cylindrical projectile launcher to throw rubber spheres horizontally at a nearby vertical target. Using a radar gun, she establishes that a sphere with a mass of 0.150 kg and diameter of 6.00 cm has its speed reduced by 10% due to air resistance when the initial speed is of 46.0 m/s as it travels from the launch site to the target a distance of 18.0 m away. Due to the air resistance, a change in temperature occurs initially only for the air in a cylinder equal to the volume of air swept out by the sphere. Determine the maximum possible temperature change (in °C) for this air when the temperature of the air is 20.0°C. To find the greatest possible temperature change, you may make the following assumptions: air has a molar specific heat of C₁ = (-)R, an equivalent molar mass of 28.9 g/mol, and a density of 1.20 kg/m³. °C

A bullet with a mass m, = 12.7 g is fired into a block of wood at velocity v, 253 m/s. The block is attached to a spring that has a spring constant k of 205 N/m. The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass mw of the wooden block. mw = kg

A person is crossing a bridge. The bridge is 3.2 meters long and is 25 kg. One side of the bridge rests on the ground while the other side of the bridge is elevated 25 degrees above the ground. The end of the bridge that is elevated is connected to a rope, which is attached to a overhanging section of a cliff. The person walking across is 62 kg, and walks three quarters of the way to the rope end of the bridge then stops. Please determine the magnitude of the force that the ground exerts on the bridge. (use image for reference)

The 0.5-kg ball is fired from the tube at A with a velocity of v = 6 m/s. If the coefficient of restitution between the ball and the surface is e = 0.8, determine the height h after it bounces off the surface. v = 6 m/s 2 m 130° B C h

A rocket motor is undergoing a "bench test." It is attached to a fixed support by four large springs of constant 10^6 N/m. The motor burns fuel at a rate of 50 kg/s. When the motor is running the springs are observed to stretch 1.5 cm. Determine the exhaust speed of the burned fuel.

15 75 Vb+w だ h A block of mass m,-1.28 kg slides to the right at a speed of 2.46 m/s on a frictionless horizontal surface, as shown in the figure. It "collides" with a wedge of mass mw, which moves to the left at a speed of 1.13 m/s. The wedge is shaped so that the block slides seamlessly up the Teflon (frictionless!) surface, as the two come together. Relative to the horizontal surface, block and wedge are moving with a common velocity Vb+w at the instant the block stops sliding up the wedge. a) If the block's center of mass rises by a distance h = 0.38 m, what is the mass of the wedge? The gravitational acceleration is g = 9.8 m/s². Express your answer in kg.

The uniform 19-m pole has a mass of 150 kg and is supported by its smooth ends against the vertical walls and by the tension Tin the vertical cable. Compute the magnitudes of the reactions at A and B. B T 12 m 7 m A 14 m Answers: FA = N FB

The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A→ through  D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified. What is the x component of  A→?

In a train crash, a train of mass 1.85 x 104 kg collides with a stationary train of mass 2.20 x 104 kg at a speed of u = 20.0 ms-1. Filling the crash, they connect and move at the same speed. There is no friction. The train driver blows a whistle which is open at one end and closed at the other. It has a length of 0.480m . The speed of sound in air is 343 ms-1.  1. Draw a diagram of the standing wave pattern of the air pressure in the whistle for its fundamental resonant frequency. Label the open and closed ends of the whistle. 2. calculate the frequency of the sound made by the whistles fundamental resonance.