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a body of mass 2kg initially at rest on a smooth horizontal plane is subjected to a horizontal forve of magnitude 1/2v+1. find the time when the velocity is 1ms

One mole of an ideal monoatomic gas goes through a cycle in a heat engine process z is isobaric, process x is isochoric,and process y is adiabatic.Find

1. The heat absorbed or release

2. The change in internal energy

3. The work done for each of the three processes and the whole cycle.


A force ๐นโƒ— = (6๐šคฬ‚ - ๐šฅฬ‚) N acts on a particle that undergoes a displacement ๐‘‘โƒ— = (3๐šคฬ‚ + ๐šฅฬ‚) m. Find (a) the dot product ๐นโƒ— โ€ข ๐‘‘โƒ— and (b) the angle between ๐นโƒ— and ๐‘‘โƒ—.ย 


Vector ๐ดโƒ— has a magnitude of 5.00 units, and vector B โƒ—ย has a magnitude of 9.00 units.ย 

The two vectors make an angle of 50.0ยฐ with each other. Find ๐ดโƒ— โ€ขB โƒ—.ย 


Due to a force field, a particle of 10kg moves along a space curve where position vector is given in a function of time by (4t^3)i ฬ‚+(5t^2)j ฬ‚+(t^2)k ฬ‚




a. ) What is the velocity vector?




i ฬ‚ j k ฬ‚




b. ) Calculate for the momentum.




i ฬ‚ j k ฬ‚

The dryer of a washing machine goes into its spin cycle from rest and gains a speed of 5.0 rev/s in 3.0s. When the lid is opened, the dryer slows down and finally stops in the 7.0s. Compute the angular acceleration during the first 3.0s and the last 7.0s. Through how many revolutions does the dryer turn before coming to stop?


At what temperature do Celsius and Fahrenheit are equivalent in value? Prove your answer.

AU-tube of uniform cross-sectional area, open to the atmosphere, is partially filled with mercury. Water is then poured into both arms. If the equilibrium configuration of the tube is as



shown i*n_{j} with h_{2} = 2.5cr , determine the value of



h_{1}

Ashower head has 10 circular openings, each with radius 2.0 mm. The shower head is connected to a pipe with radius 0.70 cm. if the speed of water in the pipe is 4.0 m/s, what is its




speed as it exits the shower-head openings?

A horizontal pipe 20.0 cm in diameter has a smooth reduction to a pipe 7.00 cm in diameter. If the pressure of the water in the larger pipe is 6.0 x 10 Pa and the pressure in the smaller pipe



s 3.0*10^ 4 Pa , at what rate does water flow through the pipes?

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