Gurumuda Networks
Unit vector – problems and solutions
1. An object moves at a velocity of v = (2i − 1.5j) m/s. What is the displacement of the object after 4 seconds?
Known :
The horizontal component of the velocity (vx) = 2 m/s
The vertical component of the velocity (vy) = 1.5 m/s
Time interval (t) = 4 seconds
Wanted : Displacement
Vector displacement – problems and solutions
1. A person walks from point A to point B, 600 meters north; then to point C, 400 meters west; then to point D, 200 meters south; and then finish at point E, 700 meters east. What is the magnitude of the displacement?
Solution :
Known :
AF = AB – BF = AB – CD = 600 – 200 = 400 m
EF = DE – DF = DE – BC = 700 – 400 = 300 m
Graphical of linear motion – problems and solutions
1. Graph distance (vertical) versus time (horizontal) as shown in the figure below. An object at rest shown by number…
Solution :
Number 3, shown by a straight line.
Average velocity – problems and solutions
1. Someone rounds a rectangle with a length of 400 m and width of 100 m, 12 times in 1 hour. What are the average velocity and the average speed?
Known :
Length of rectangle = 400 meters
Width of rectangle = 100 meters
Circumference of the rectangle = (2 x 400 meters) + (2 x 100 meters) = 800 meters + 200 meters = 1000 meters
Distance = 12 x 1000 meters = 12,000 meters = 12 kilometers
27 Projectile motion – problems and solutions 1. A bullet fired at an angle θ = 60o with a velocity of 20 m/s. Acceleration due to gravity is 10 m/s2. What is the time interval to reach the maximum height? Known : The initial velocity of bullet (vo) = 20 m/s Angle (θ) = 60oC … Read more
Black principle – problems and solutions
1. 200-gram water at 30°C mixed with 100-gram water at 90°C. The specific heat of water = 1 cal.gram−1°C−1. Determine the final temperature of the mixture!
Known :
Mass of water 2 (m1) = 200 gram
Temperature of water 1 (T1) = 30oC
Mass of water 2 (m2) = 100 gram
10 Dynamics Object connected by cord over pulley Atwood machine – Problems and Solutions
1. Block A with a mass of 5 kg, placed on a smooth horizontal plane. Block B with a mass of 3 kg hanging at one end of the cord connected with block A over a pulley. Acceleration due to gravity is 10 m/s2. What is the acceleration of both blocks?
Known :
Mass of block A (mA) = 5 kg
Mass of block B (mB) = 3 kg
Acceleration due to gravity (g) = 10 m/s2
Circular motion – problems and solutions
1. A 10-kg object moves in a circle at constant speed 4 m/s. If the radius of the circle is 0.5 meters, then :
1) The frequency of circle is 4/π Hz
2) The centripetal acceleration is 32 m.s-2
3) The centripetal force is 320 N
4) The period is 4π s.
Which are the true statements?
Free fall motion – problems and solutions
1. A stone free fall from the height of 45 meters. If the acceleration due to gravity is 10 ms-2, what is the speed of the stone when hits the ground?
Known :
Height (h) = 45 meters
Acceleration due to gravity (g) = 10 m/s2
Wanted : The final velocity of the stone when it hits the ground (vt)
