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How long must a train undergo constant acceleration in order to go from 35 km/h east to 45 km/h west ending up 250 mm west of its original position ?


A pile of mass 50kg is being driven into the ground by a hammer of mass 400kg. If the hammer is dropped through a height of 3.5m, there is no obersaable rebound, and the average resistive force of the ground on the pile is 50kN, calculate the distance the pile sinks into the ground

A body of 4kg mass travelling at 8m/s² collides with a stationary body of mass 12kg, both being constrainted in their motion by the same frictionless guides. Find their velocities and loss of kinetic energy, if coefficient of restitution is 1 and (b) if it is 0.5

A cyclist of mass 2kg is riding his 13kg bicycle up a 1 in 10 incline. What power does he need to develop in order to maintain a constant speed of 24kph

 


a) 0.056m³ of air at 1.38 bar are compressed isothermally to a volume of 0.014m³. 

Determine the work energy required for the compression.


b) compare this to the work energy which would be required for an adibatic compression through the same volume ratio. For air R= 0.287KN and ➰ = 1.4


Calculate the work done by 2.4N force pushing a 400.g sandwich across a table 0.75m wide

a 10kg mass is suspended from the end of a spring and released. If the spring oscillates in shm with a period of 0.5s Cal the energy given to the 10kg Mass if the amplitude of oxidation is 2cm?


A force of 9n acts along the positive x axis and a force of 4n acts in direction making an angle of 60⁰ with the positive direction of the x axis. What is the sum of the resolved forces along the x axis ?

A ball of mass m = 0.490 kg is dropped near the surface of the Earth. However, there exists an air resistance F = −βv, where β = 0.700 N · s/m. After a long time, the ball approaches a speed v. What is this speed?


Assume a point charge Q1 is at x=0 and a charge Q2 is at x= d. What is the relationship between these charges if the resulting electric field is zero at the following points:

a) x= d/2; b) x= 2d; c) x= -d/2


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