Solutions to some physics UTME past questions

Question 1
A bullet fired vertically upward from a gun held 2.0m above the ground reaches its maximum height in 4.0 s. calculate its initial velocity. {2009}
A.10ms-1 B.8ms-1 C. 40ms-1 D. 20ms-1
Solution
C is the correct option
Question 2
An object of mass 80kg is pulled on a horizontal rough ground by a force of 500N. Find the coefficient of static friction. {2009}
A.0.8 B. 0.4 C. 1.0 D. 0.6
[g = 10ms-2]Solution
D is the correct option
Question 3
Two cars moving in the same direction have speeds of 100kmh-1 and 130kmh-1. What is the velocity of the faster car as measured by an observer in the slower car? {2010}
A.130kmh-1 B. 230kmh-1 C. 200kmh-1 D. 30kmh-1
Solution
You are to calculate the relative speed
D is the correct option
Question 4
A car moves with an initial velocity of 25ms-1 and reaches a velocity of 45ms-1 in 10s. What is the acceleration of the car?{2010}
- 5ms-1 B. 25ms-1 C. 20ms-1 D. 2ms-1
Solution
D is the correct option
Question 5
Two balls X and Y weighing 5g and 50kg respectively were thrown up vertically at the same time with a velocity of 100ms-1. How will their positions be one second later? {2011}
A. X and Y will both be 500m from the point of throw
B. X and Y will be 500m from each other
C. Y will be 500 m ahead of X
D. X will be 500m ahead of Y.
Solution
The distance covered after one second
S = 500m
The position the two balls will be from the point of throw is independent on their mass.
A is the correct option
Question 6
If it takes an object 3s to fall freely to the ground from a certain height, what is the distance covered by the object?
A. 60 m B. 90 m C. 30 m D. 45 m.
[g = 10ms-2]Solution
Initial velocity = 0
S = 45m
D is the correct option
Question 7
Calculate the total distance covered by a train before coming to rest if its initial speed is 30ms-1 with a constant retardation of 0.1ms-2. {2012}
A. 5500m
B. 4500m
C. 4200m
D. 3000m.
Solution
V = 0
U =30ms-1
a=-0.1ms-2
The a is negative because the motion is retarding i.e. deceleration
S = 4500 m
B is the correct option
Question 8
A car starts from rest and moves with a uniform acceleration of 30ms-2 for 20s. Calculate the distance covered at the end of the motion.{2012}
A. 6km
B. 12km
C. 18km
D. 24km.
Solution
S = 6000m = 6km
A is the correct option
Question 9
An object of mass 20kg slides down an inclined plane at an angle of 30o to the horizontal. The coefficient of static friction is {2012}
A. 0.2 B. 0.3 C. 0.5 D. 0.6
[g = 10ms-2]
Solution
D is the correct answer
Question 10
A train with an initial velocity of 20ms-1 is subjected to a uniform deceleration of 2ms-2. The time required to bring the train to a complete halt is
- 40s B. 5s C. 10s D. 20s
Solution
V = 0
U = 20
a= -2
C is the correct option
Question 11
Calculate the apparent weight loss of a man weighing 70kg in an elevator moving downwards with an acceleration of 1.5ms-2. {2013}
A. 105N B. 686N C. 595N D. 581N
Solution
The apparent weight loss = ma = 70 * 1.5 = 105N
A is the correct option
Question 12
The coefficient of friction between two perfectly smooth surface is {2013}
A. Zero B. Infinity C. One D. Half
Solution
A is the correct option
Recommended: Mor solution to UTME past physics quetions