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1. A bullet moving at the rate of 300 m/s is fired into a thick target and penetrates up to 500 mm. If it is fired into a 250 mm thick target, find the velocity of emergence. Take the resistance to be uniform in both the cases.
A typical automobile under hard braking loses speed at a rate of about 7.0 m/s2 ; the typical reaction time to engage the brakes is 0.50 s. A local school board sets the speed limit in a school zone such that all cars should be able to stop in 4.0 m. (a) What maximum speed does this imply for an automobile in this zone? (b) What fraction of the 4.0 m is due to the reaction time?
A body is projected upward with a velocity of 30m/s. Find the time when the velocity will be 5m/s
A car has a steady speed of 25m/s along a horizontal curve of radius 115m. What is the minimum coefficient of static friction between the road and the car’s tires that will allow the car to travel at this speed without sliding?
A uniform ladder of length 50 feet, rests against a vertical wall with which it makes an angle of
60 degree, the coefficient of friction between wall and ladder and ground respectively being 1/2 and 3/5. If a man whose weight is one-fourth to the ladder ascends the ladder, how high will
be he when ladder slips?
A partial of mass m moves in the xy plane so that its position vector is r=acos(wt)i+basin(at)j where a,b and w are constants and a>b. Find the kinetic energy (i)at x=a,(ii)at y=b,(iii) work done I moving the particle from x=a to x=b
a) The resistor of an RC circuit has a resistance of 10 MΩ, the time constant is 1 s. What is the capacity of the capacitor? b) To what percent of the original value does the voltage of the capacitor decrease in 2 s?
Ms. Ratchford wants to go for a walk. She travels to Starbucks which is 3.5 km [N11W] she then goes to Walmart to get groceries and travels 1.5 KM[S45E]. What is her displacement?
The acceleration of a particle is given by a relation a=v3 . It is known that at time t=0, position is -2m and velocity is CRN. Find the displacement, position, velocity and acceleration at instant of CRN/5 sec
Find the maximum distance the spring is compressed. Assume a spring constant of 1.0 x 106N/m.
