Explanation

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

Time = 3 s → Force = 15 / 3 = 5 N

Explanation

A rocket accelerates in space by expelling exhaust gases backward, which, according to Newton’s third law, produces an equal and opposite force pushing the rocket forward.

This force is called thrust and does not depend on external air or gravity.

Explanation

"Very interesting" describes a noun by giving more information — this makes it an adjective phrase.

"Very" intensifies the adjective "interesting", forming a phrase that modifies nouns.

Explanation

The derivative of y = x² is dy/dx = 2x.

At x = 2, the slope is 2(2) = 4.

The tangent line equation is y - 4 = 4(x - 2), which simplifies to y = 4x - 4, or 4x - y = 4.

Explanation

A linear scale uses a line marked with distances to represent the scale on a map.

It helps measure actual distances directly by comparing with the marked segments on the line.

Explanation

To find the center of the circle, rewrite the equation in standard form:

45x² - 60x + 45y² + 36y = -19

Divide by 45:

x² - (4/3)x + y² + (4/5)y = -19/45

Complete the square:

(x - 2/3)² + (y + 2/5)² = ...

The center is (2/3, -2/5).

Explanation

Given the object's speed is 8 m/s after 1 second, we can determine the acceleration due to gravity on this planet is 8 m/s², since it starts from rest (0 m/s).

To find the speed after 3 seconds, we use the formula: speed = initial speed + acceleration × time

Initial speed = 0 m/s (since it's dropped)

Acceleration = 8 m/s²

Time = 3 seconds

Speed after 3 seconds = 0 + 8 × 3 = 24 m/s

Explanation

Jet engines typically produce very high power, often in the megawatt (MW) range.

1.2 × 10⁶ watts equals 1.2 megawatts, which is appropriate for a jet engine.

Explanation

خراماں خراماں کا مطلب ہوتا ہے آہستہ اور خوبصورت انداز میں چلنا۔

یہ لفظ عموماً شان و شوکت یا آرام دہ انداز کی طرف اشارہ کرتا ہے۔

Explanation

In a reversible adiabatic process, there is no heat transfer (Q = 0).

As a result, the entropy change (ΔS) is zero because entropy change is directly related to heat transfer in a reversible process (ΔS = Q / T).