Explanation

In simple harmonic motion (SHM), the restoring force is given by:

F = -kx

Where:  

- F is the restoring force  

- k is the spring constant  

- x is the displacement from the equilibrium position  

The restoring force is minimum when displacement x = 0, i.e., at the equilibrium position.

Explanation

Change in momentum = 20 − 5 = 15 kg·m/s

Time = 3 s → Force = 15 / 3 = 5 N

Explanation

The Earth bulges at the equator and rotates, creating a centrifugal force that slightly reduces gravity there.

At the poles, this effect is minimal, so ‘g’ is stronger at the poles than at the equator.

Explanation

An electric generator works on the principle of electromagnetic induction.

Faraday's law states that a changing magnetic flux induces an emf, which is the working principle of generators.

Explanation

Kinetic energy (K) is related to momentum (p) by K = p² / 2m. If momentum increases by 20%, the new momentum p' = 1.2p.

The new kinetic energy K' = (p')² / 2m = (1.2p)² / 2m = 1.44p² / 2m = 1.44K.

The percentage increase in K.E is ((K' - K) / K) × 100 = ((1.44K - K) / K) × 100 = 44%.

Explanation

The ratio of output voltage to input voltage in a transistor circuit is called the voltage gain.

It measures how much the amplifier increases the input signal voltage.

Explanation

Waves produced by oscillation of material particles require a medium to travel, called mechanical waves.

Examples include sound waves and water waves.

Explanation

Emmerson Mnangagwa is the current president of Zimbabwe Since 2017.

He replaced Robert Mugabe. 

He is the third president of Zimbabwe 

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Updated & verified on 09-09-2025

Explanation

NATO full form: North Atlantic Treaty Organization

Founded: 4 April, 1949 (Washington, USA)

Headquarters: Brussels, Belgium

Total members: 32 (30 European & 2 North American countries)

Latest Member: Sweden

Type: Military Alliance

Official Languages: English & French

Founding members: 12

Pakistan: Not a NATO member

Member Muslim country: Turkiye

In March, 7, 2024, Sweden became 32nd member of NATO.

List of NATO member countries:

1.        Albania

2.        Belgium

3.        Bulgaria

4.        Canada

5.        Croatia

6.        Czechia

7.        Denmark

8.        Estonia

9.        France

10.     Germany

11.     Greece

12.     Hungary

13.     Iceland

14.     Italy

15.     Latvia

16.     Lithuania

17.     Luxembourg

18.     Montenegro

19.     Netherlands

20.     North Macedonia

21.     Norway

22.     Poland

23.     Portugal

24.     Romania

25.     Slovakia

26.     Slovenia

27.     Spain

28.     Turkiye

29.     United Kingdom

30.     United States

31.     Finland

32.     Sweden

Explanation

For projectile motion, two complementary angles θ and 90° - θ give the same range if the initial velocity is constant.

Since 10° + 80° = 90°, the angles 10° and 80° are complementary and will have equal ranges.