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A basketball is shot through the air, hitting the backboard of a hoop. During the shot, the basketball was travelling at 8 m/s, and right after hitting the backboard, the basketball travels 1 m/s in the opposite direction. The mass of a standard basketball is 590g.
a. Find the kinetic energy of the basketball before hitting the backboard (2pts)
b. Find the kinetic energy of the basketball after hitting the backboard (2pts)
c. Find the work done by the backboard to the basketball (2pts)
John carries a 175-N suitcase up three flights of stairs ( a height of 10.0m) and then pushes it with a horizontal force of 36.0N at a constant speed of 0.5m/s for a horizontal distance of 20.0meters. How much work does John do on his suitcase during this entire motion? Show complete solution.
Say & lb/sec of CO₂ gas are com .2 H pressed polytropically (pV¹² = C) from Pi =. 15 psia, ₁ 140°F to 1₂ = 440°F. As suming ideal gas action, find P2, W, Q, AS (a) as a nonflow process, (b) as a steady flow process where AP = 0, AK = 0.
A particle moving in the xy plane undergoes a displacement given by d=2.0m as a constant force F= 5.0N acts on the particle. Calculate the work done by F on the particle. Show complete solution.
Confine 1 lb of wet steam at 500°F and with an enthalpy of 800 Btu in a rigid container. Heat is applied until the steam becomes saturated. Determine (a) the initial pressure p₁, (b) quality x₁, (c) volume v₁, (d) the final pressure p2; and for the process, (e) W, (f) O.
- A 2.1 × 103 kg car starts from rest at the top of a driveway that is sloped at an angle of 20.0° with the horizontal. An average friction force of 4.0 × 103 N impedes the car’s motion so that the car’s speed at the bot- tom of the driveway is 3.8 m/s. What is the length of the driveway?
In 10 seconds, a disc accelerates uniformly from rest to a rational velocity of 20 rotations per second. Calculate the flywheel's angular acceleration in rad/s²?
A 1.8 kg mass is oscillating at the end of a steel spring with an amplitude of 20cm. The spring constant, k, is 500 N/m. Calculate:
(a) the angular frequency.
(b) the maximum velocity of the oscillating mass.
(c) the total energy of the oscillating mass.
If the grandfather clock is running slow, how would you adjust the length of the pendulum to correct the timer?
If a mass spring system is hung vertically and set into oscillation, why does the motion eventually stop?
