In a projectile laboratory experiment on, a mini-launcher was tilted 60.0° above the horizontal. A 10.0 g ball was placed inside the mini launcher compressing the spring inside the mini-launcher, whose force constant is 21.0 N/m, by a distance 𝑥. When the spring is released, the spring pushes the ball out of mini launcher and reaches a height of 67.5 cm above the muzzle of the mini launcher. Assume that the inner walls of the mini-launcher is frictionless.
(a) What is the speed of the ball as it leaves the muzzle of mini-launcher?
(b) If the distance travelled by the ball inside the mini-launcher from the compressed spring is 20.0cm, to what distance 𝑥 was the spring initially compressed?
(c) What is the distance 𝑑 between the muzzle of the mini-launcher and the uncompressed length of the spring?
(d) What is the speed of the ball when the spring returns to its normal length?
in an air motor cylinder the compressed air has an internal energy of 450 kj/kg at the beginning of the expansion and an internal energy of 220kj/kg after expansion.of the work done by air during the expansion under a pressure of 50Pa by 6×10^7cm³ per 10kg.calculate the heat flow to and fro from the cylinder
The driver of a 2.0 × 103 kg red car traveling on the highway at 45m/s slams on his brakes to avoid striking a second yellow car in front of him, which had come to rest because of blocking ahead as shown in above Fig. After the brakes are applied, a constant friction force of 7.5 × 103 N acts on the car. Ignore air resistance.
(a) Determine the least distance should the brakes be applied to avoid a collision with the other vehicle?
(b) If the distance between the vehicles is initially only 40.0 m, at what speed would the collision occur?
(c) Write your conclusive observations on the result obtained from this numerical. i.e. the importance of Physics in daily life.
In a piston-cylinder setup, 50 liters of water at 200kPa and 25°C is heated under constant pressure until it completely evaporates.
a) The mass of the water,
b) its temperature in the last case,
c) The heat given to the water during evaporation,
d) its volume in the final state,
e) Show the P-V and T-V (Pressure, temperature and specific volume) graph that you will draw the whole system.
The radius of a silver bar is 30 𝑐𝑚. What force is required to stretch the bar by
12.7% of its length where Young’s modulus is 𝑌 = 7.25 × 1010 𝑁𝑚−2
Two trains A and B are moving towards each other at a speed of 156.2m/s. If the frequency of the whistle emitted by A is 844.6Hz, then what is the apparent frequency of the whistle heard by the passenger sitting in train B. Note that the velocity of sound in air is 340m/s.
Consider an automobile moving at v mph that skids d feet after its brakes lock. Calculate how far it would skid if it was moving at 2v and the brakes were locked.
1. What is the frequency of a wave, given that its period is about 6.7s?
2. If a water wave oscillates up and down 7 times each second and the distance between wave crests is 2.7m, what is its wavelength?
calculate the temperature at the base of the mountain if its height is 4 km and the temperature at the top is 6 C