An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Question

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range (A) 200 J -500 J (B) 2 × 105 J -3 × 105 J (C) 20,000 J -50,000 J (D) 2,000 J -5,000 J

Tardigrade Admin · Accepted Answer

The average speed of the athelete v=(100/10)=10 m / s ∴ text K.E. =(1/2) mv 2 If mass is 40 kg then, K.E. =(1/2) × 40 ×(10)2=2000 J If mass is 100 kg then, text K.E. =(1/2) × 100 ×(10)2=5000 J

Q. An athlete in the olympic games covers a distance of $100 m$ in $10 s$ . His kinetic energy can be estimated to be in the range

$200 J - 500 J$

$2 \times 1 0^{5} J - 3 \times 1 0^{5} J$

$20, 000 J - 50, 000 J$

$2, 000 J - 5, 000 J$

The average speed of the athelete
$v = \frac{100}{10} = 10 m / s$
$∴ K.E. = \frac{1}{2} m v^{2}$
If mass is $40 k g$ then, K.E. $= \frac{1}{2} \times 40 \times (10)^{2} = 2000 J$
If mass is $100 k g$ then,
$K.E. = \frac{1}{2} \times 100 \times (10)^{2} = 5000 J$

Q. An athlete in the olympic games covers a distance of 100m in 10s. His kinetic energy can be estimated to be in the range

200J−500J

2×105J−3×105J

20,000J−50,000J

2,000J−5,000J