Question

An object moving with a speed of 35m/s has a kinetic energy of 9800J. What is the mass of the object?

Answer 1

Answer:

16 kg's

Explanation:

Given :

• Speed of the object = v = 35 m/s
• Kinetic energy of the object = 9800 Joules

To find :

• Mass of the object which has speed as 35 m/s and kinetic energy of 9800 Joules

$kinetic \: energy \: = \frac{1}{2} mv ^{2}$

Where:

m = mass if the object

V = speed of the object

Substituting the values :

9800 = 1/2×m×35²

9800 = 1/2×m×1225

19600 = 1225 m

$m = \frac{19600}{1225}$

m = 16 kg's

The mass of the object is equal to 16 kg's

Answer 2

GIVEN

• Speed of object = 35 m/s
• Kinetic energy = 9800 J

TO FIND

• Mass of object

SOLUTION

We have,

• Speed (v) = 35 m/s

• Kinetic energy (K.E.) = 9800 J

We know the below formula :-

$\boxed{\boxed{\tt\blue{Kinetic \: energy (E_{k}) = \dfrac{1}{2}\: mv^2 }}} \\\\\\ \qquad\underline{\underline{\rm{Substituting \: values }}} \\\\ \longmapsto\sf 9800 = \dfrac{1}{2}\: \times m \times (35)^2 \\\\ \longmapsto\sf 9800 = \dfrac{1}{2}\: \times m \times 1225 \\\\ \longmapsto\sf 9800 = 612.5 \times m \\\\ \longmapsto\sf m = \dfrac{9800}{612.5} \\\\ \longmapsto\boxed{\boxed{\sf\blue{m = 16\: kg }}} \\\\ \therefore\underline{\large{\boxed{\tt\green{Mass \: of \: object = {\blue{16 \: kg}} }}}}$