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A KTM Commuter train travel between two station, A and B. The train starts from rest from station A and accelerates at a constant rate for 0.5 km until it reaches a speed of 30 m/s. It then travel at this constant speed for T s before decelerating at a constant rate of 1.5 m/s and coming to rest at station B. Determine the value of T if the distance between the two stations 6km. Calculate also the total time taken for the whole journey.
Imagine that a satellite weighing 2500 kg revolves around the Earth in a circular path. How much work does the Earth do on top of the satellite?
A load of mass 120kg is raise vertically through a high of 2m in 30s by a machine whose efficiency is 100% calculate power generated by the machine
The illustration shows a lamp and a candle illuminating a screen positioned between them at 0.34 m. If the lamp is moved to a distance r = 0.588 m, how much brighter must the lightbulb be than the candle to have the same illuminance on the screen?
Determine the mass of air in slugs contained in a room whose dimensions are 15 ft x 20ft x 20ft. Assume the density of air is 0.0724 lb/ft3 .
A mass of 20 kg is being pulled, with a rope, up a frictionless slope inclined at an angle of 30°. The rope is parallel to the slope, and the mass is traveling at a constant 5 ms-1 in a straight line.
a. Draw a free-body diagram for this situation.
b. Draw a vector triangle for the weight, dividing it into perpendicular components.
c. Calculate the component of the weight that is parallel to the slope.
d. Hence calculate the work done in pulling the mass 3 metres.
e. What is the power required?
f. How much gravitational potential energy has the mass gained when pulled 3 metres along the slope?
g. The 20 kg mass is then released from rest on another 30° slope, but this time there is a frictional force of 15 N. Find the magnitude and direction of the acceleration in this case.
A boy has a mass of 50 kg. He jumps at a speed of 2.5 m/s into a stationary boat which has a mass of 70 kg. Please calculate their speed (ignore friction).
Pumped-storage hydroelectricity allows energy to be stored to prepare for periods of high demand. Let a high-level reservoir be 500 m above a low-level reservoir. What is the useful power output if the water from the high-level reservoir flows at a rate of 100 kg per minute and the turbine is 85% efficient?
1. A truck moving at 35 m/s collide with a car moving at 50 m/s. After collision, both truck and car move together at the same speed. Mass of the truck is 1,500 kg and the mass of the car is 700 kg. What is the velocity of both truck and car after collision?
Four point charges are equally separated by 1.00 m in air. If q1 = 3.0 nC, q2 = -4.0 nC, q3 = 2.0 nC, and q4 = -5.0 nC, what is the electric field at a point halfway between q2 and q3? show the equation, solution and complete answer.
