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Draw the truth table for the logic circuit if the conditions for the alarm Q=1 are:
Flow rate < 5 litre/second and Temperature ≥ 30 o C
Rohul walks in a shopping complex 150 m East, then he return North and walks 180 m, then she turns west and walks 70 m, then he turns to her left and walks 180 m. Where is she now with reference to his starting position?
Find the centripetal force of a satellite of mass 1000kg orbiting the earth in a circular orbit close to it's surface. What will be the magnitude of the force if the orbit were not close to the surface of the earth but at a height above it equal to the earth's radius. Why does the centripetal force do not work?
2. A 30 foot ladder weighing 100 lbs having its center of mass one-third of the way up from the bottom rests against a smooth wall so that it makes an angle of 60 degrees with the ground. If the coefficient of friction between the ground and the ladder is 0.4, how high can a 150-lb man go before the ladder slips.
In an experiment to verify Newton’s second law, a toy train was pulled along a straight wooden track. The train started at rest, and its final speed after travelling 1.0m was measured using a speed gun. The results are summarised in the table below.
Force / N Final speed / m/s
0.5 0.60
1.0 0.84
2.0 1.34
4.0 1.87
6.0 2.19
8.0 2.59
10.0 2.85
a. Calculate the acceleration of the cart for each of the applied pulling forces.
b. Draw a fully labelled scatter plot of force (y-axis) vs acceleration (x-axis).
c. Do the results verify Newton’s second law. Briefly justify your answer?
d. Given that the mass of the train was measured using a top pan balance to be 0.40 kg, can you say anything else about the results?
North American prairie dogs live in underground burrows with several exits. They usually build a mount over one of the exits, which causes a draft to pass over the mound. How does this allow for ventilation of the burrow? [Hint: keep it simple – assume that all exits are at the same level and that there are no drafts over the other exits.]
Imagine that you do 10 pull-ups in 10 seconds. What is the average power supplied by your arm muscles when moving your body?
The resultant of the two forces and couple may be represented by a wrench. Determine the vector expression for the moment M of the wrench and find the coordinates of the point P in the x-z plane through which the resultant force of the wrench passes.
erson standing at the top of a hemispherical rock of radius R kicks a ball (initially at rest on the top of the rock) to give it horizontal velocity V⃗i as shown in above figure. (a) What must be its minimum initial speed if the ball is never to hit the rock after it is kicked? (b) With this initial speed, how far from the base of the rock does the ball hit the ground?
Karl is driving his car 15 m/s when he noticed that he is approaching a stalled truck that is approximately 35m away. He steps on the breaks and stops 1.0m away from the stalled truck. On what rate dis his car slows down? Assume that Karl reaction time is 2.0s
