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Physics
UTME / JAMB 2024
Motion Force Circular Motion
Solution
The friction due to air mass can be reduced by
A
streaming
B
lubricating
C
propeller
D
polishing
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Streaming refers to the streamlined shape of an object, which helps minimize air resistance (drag) as it moves through the air. This is often applied in aerodynamics to improve the efficiency of vehicles and objects moving through air.
Source: WAEC / JAMB / NECO Classroom Archive (Record #70358)
Physics
UTME / JAMB 2024
Motion Force Circular Motion
Solution
The moon's acceleration due to gravity is \(\frac{1}{6}\) of the earth's value. The weight of a bowling ball on the moon would be
A
6 times its weight on the earth
B
\(\frac{1}{6}\) of its weight on the earth
C
36 times its weight on the earth
D
equal to its weight on the earth
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
W\(_{moon}\) = mass x g = mass x \(\frac{10}{6}\) = \(\frac{10m}{6}\)N
W\(_{earth}\) = mass x g = mass x 10 = 10m
mass = constant
g on earth = 10m/s\(^2\) and g on moon = \(\frac{1}{6}\) x that on earth
Therefore, The weight of a bowling ball on the moon would be \(\frac{1}{6}\), the weight on earth.
Source: WAEC / JAMB / NECO Classroom Archive (Record #70372)
Physics
UTME / JAMB 2024
Motion Force Circular Motion
Solution
A body is whirled in a horizontal circle at the rate of 800 revolutions per minute. Determine the angular velocity
A
100\(\pi\)rads\(^{-1}\)
B
33.3\(\pi\)rads\(^{-1}\)
C
29.5\(\pi\)rads\(^{-1}\)
D
26.7\(\pi\)rads\(^{-1}\)
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
Angular velocity(\(\omega\)) = 2\(\pi\) x rev per sec
Rev. per sec = \(\frac{800}{60}\) \(\approxeq\) 13.33 rev/s
Angular velocity(\(\omega\)) = 2\(\pi\) x 13.33 \(\approxeq\) 26.7\(\pi\)rad/s
Source: WAEC / JAMB / NECO Classroom Archive (Record #70476)
Physics
UTME / JAMB 2024
Motion Force Circular Motion
Solution
The tangential force acting on an object that opposes it from sliding freely on the adjacent surface is called
A
Normal force
B
Friction force
C
Weight
D
Upthrust
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
The tangential force acting on an object that prevents it from sliding freely on the adjacent surface is called friction. Friction plays a crucial role in preventing or resisting motion between surfaces in contact.
Source: WAEC / JAMB / NECO Classroom Archive (Record #70488)
Physics
UTME / JAMB 2024
Motion Force Circular Motion
Solution
A body is pulled on a horizontal surface with a rope inclined at 30º to the vertical. If the effective force pulling the body along the horizontal surface is 15N, calculate the tension on the rope.
A
30N
B
60N
C
22.5N
D
75N
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Effective horizontal force = 15N
T = tension on the rope
F\(_x\) = T sin\(\theta\)
15 = T x sin 30º
T = \(\frac{15}{0.5}\) = 15 x 2 = 30N.
Source: WAEC / JAMB / NECO Classroom Archive (Record #70536)
Physics
UTME / JAMB 2023
Motion Force Circular Motion
Solution
The branch of physics that deals with the motion of objects and the forces acting on them is called:
A
Electromagnetism
B
Thermodynamics
C
Mechanics
D
Quantum mechanics
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Mechanics is the branch of physics that deals with the motion of objects and the forces acting on them. It is the foundation of all other branches of physics, and it is used to study everything from the motion of planets to the motion of electrons.
Source: WAEC / JAMB / NECO Classroom Archive (Record #68566)
Physics
WAEC / WASSCE 2022
Motion Force Circular Motion
Solution
The engine of a car provides a forward force of 1240 N and the total resistive force on the car is 800N. If the mass of the car is 1220 kg, determine the distance the car has to travel from the rest before acquiring a speed of 4 m s\(^{-1}\).
A
44.0 m
B
22.2 m
C
11.1 m
D
5.5 m
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Acceleration[a] = \(\frac{[forward - resistive]force}{mass}\)
a = \(\frac{1240-800}{1220}\) → \(\frac{440-800}{1220}\)
a = 0.36m/s\(^2\), v = 4m/s, s = ?
Second equation of motion:
s is distance
u is initial velocity
v is final velocity
a is acceleration
v\(^2\) = u\(^2\) + 2as
4\(^2\) = 0\(^2\) + 2 * 0.36 * s
16 = 0.72s
22.2m = s
Source: WAEC / JAMB / NECO Classroom Archive (Record #63405)
Physics
UTME / JAMB 2021
Motion Force Circular Motion
Solution
Particles of mass 10\(^{-2}\)kg is fixed to the tip of a fan blade which rotates with angular velocity of 100rad\(^{-1}\). If the radius of the blade is 0.2m, the centripetal force is?
A
2N
B
20N
C
200N
D
400N
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Given
m = 10\(^{-2}\)
w = 100rads\(^{-1}\)
F = mw\(^{2}\)r
r = 0.2m
F = ?
= 10\(^{-2}\) x (100)\(^{2}\) x 0.2
= 20N
Source: WAEC / JAMB / NECO Classroom Archive (Record #60752)
Physics
WAEC / WASSCE 2021
Motion Force Circular Motion
Solution
A ball is swung in a horizontal circle of centre O with a constant speed. What is the direction of its acceleration?
A
Away from O
B
Along the Circumference of the circle
C
Toward centre O
D
Along a tangent to the circle
medium Difficulty
Verified Correct Answer: Option C
Physical Principles & Numerical Solution
Simple harmonic motion (SHM) is a special type of periodic motion where the restoring force on the moving object is directly proportional to the magnitude of the object's displacement and acts towards the object's equilibrium position.
Source: WAEC / JAMB / NECO Classroom Archive (Record #61906)
Physics
WAEC / WASSCE 2019
Motion Force Circular Motion
Solution
An electron of mass 9.1 x 10\(^{-31}\) kg moves with a speed of 2.0 x 10\(^6\) ms\(^{-1}\) round the nucleus of an atom in a Circular path of radius 6.1 x 10(^{11}\) m. Determine the angular speed of the electron.
A
3.28 x 10\(^{16}\) rad s\(^{-1}\)
B
8.55 x 10\(^{3}\) rad s\(^{-1}\)
C
9.11 x 10\(^{13}\) rad s\(^{-1}\)
D
5.22 x 10\(^{15}\) rad s\(^{-1}\)
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Angular speed of the electron (W)
w = \(\frac{Velocity}{Radius} = \frac{V}{R}\)
= \(\frac{2.0 \times 10^6}{6.1 \times 10^{11}}\)
= 3.28 x 10\(^{16}\) rads\(^{-1}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #58963)
Physics
WAEC / WASSCE 2018
Motion Force Circular Motion
Solution
A body of mass m moving around a circle of radius r with a uniform speed v experiences a centripetal force F. The work done by the centripetal force on it is
A
Fv
B
zero
C
Fmr
D
\(\frac{Fr}{m}\)
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Work is done whenever the given conditions are satisfied. (ii) there is a displacement of the body caused by the applied force along the direction of the applied force. No displacement takes place in this case. So, work done by a centripetal force is always zero.
The work done by centripetal force in the case of a uniform circular motion is 0 joules.
Source: WAEC / JAMB / NECO Classroom Archive (Record #49653)
Physics
UTME / JAMB 2016
Motion Force Circular Motion
Solution
A satellite revolving around the earth is kept on its orbit by?
A
Centripetal forces only
B
Centripetal and frictional forces
C
Centrifugal forces only
D
Centripetal and centrifugal forces
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
The concept of centrifugal force can be applied in rotating devices, such as centrifuges, centrifugal pumps, centrifugal governors, and centrifugal clutches, and in centrifugal railways, planetary orbits and banked curves, when they are analyzed in a rotating coordinate system.
Source: WAEC / JAMB / NECO Classroom Archive (Record #44729)
Physics
UTME / JAMB 2010
Motion Force Circular Motion
Solution
Two cars moving in the same direction have speeds of 100 kmh\(^{-1}\) and 130 kmh\(^{-1}\). What is the velocity of the faster car as measured by an observer in the slower car?
A
30 kmh-1
B
130 kmh-1
C
200 kmh
D
230 kmh-1
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Since the cars are moving in the same direction, the velocity of a body A, Va,relative to another body B, Vb is given by V = Va - Vb
∴ the velocity of faster car is measured by the observer in the slower car is V = 130kmh-1 - 100 kmh-1 = 30 kmh-1
Source: WAEC / JAMB / NECO Classroom Archive (Record #14283)
Physics
UTME / JAMB 2010
Motion Force Circular Motion
Solution
A car moves with an initial velocity of 25 ms\(^{-1}\) and reaches a velocity of 45 ms\(^{-1}\) in 10s. What is the acceleration of the car?
A
2 ms-2
B
5 ms-2
C
20 ms-2
D
25 ms-2
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Acceleration = (increase in velocity)/time taken
= (45 - 25)/10 = (20)/10 = 2ms-2
Source: WAEC / JAMB / NECO Classroom Archive (Record #14288)
Physics
UTME / JAMB 2010
Motion Force Circular Motion
Solution
The surfaces of conveyor belts are made rough so as to?
A
protect them while carrying loads
B
prevent the loads from slipping
C
enable them to carry more load
D
make them stronger
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
Rough surface promotes friction. Therefore, roughness of conveyor belt prevents the load from slipping
Source: WAEC / JAMB / NECO Classroom Archive (Record #14292)