The momentum of an object of mass 4 kg is 20 kg ms -1 . The kinetic energy of the object is A 10 J B 50 J C 100 J D 400 J E 800 J.

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The momentum of an object of mass 4 kg is 20 kg ms-1 - Scottish Highers Physics - Question 3 - 2023

Question 3

The momentum of an object of mass 4 kg is 20 kg ms-1. The kinetic energy of the object is A 10 J B 50 J C 100 J D 400 J E 800 J.

Step 1

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Answer

The momentum (p) of an object is given by the formula:

$p = m imes v$

Where:

Rearranging the formula to find velocity:

$v = \frac{p}{m} = \frac{20}{4} = 5 \, \text{ms}^{-1}$

Step 2

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Answer

The kinetic energy (KE) can be calculated using the formula:

$KE = \frac{1}{2}mv^2$

Substituting the values:

$KE = \frac{1}{2} \times 4 \times (5)^2$ $KE = 2 \times 25 = 50 \text{ J}$

Thus, the kinetic energy of the object is 50 J.

Step 3

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Answer

The correct answer is B: 50 J.

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