Question

The kinetic energy of the diver is 5040 J. The speed of the diver is 12 m/s. Calculate the mass of the diver.

What's the mass of the diver?​

Answer 1

70 kg

Step-by-step explanation:

Kinetic energy is the energy acquired by the body while it is moving,i.e. when the body is in motion.It has a unit of joule.

Kinetic energy has the formula of 1/2*m*v*v:

• K.E. = 1/2*m*v² where m = mass, v = velocity during the time the body was in motion

We are given,

• K.E. = 5040 J
• velocity or speed in a certain direction: 12 m/s

We have to find the mass of diver.

Putting the values in the equation of K.E.:

• K.E. = 1/2*m*v²
• 5040 = 1/2*m*12*12..(Cancel 2 and 12 to get 6)

Remember the units are in S.I. system.

• 5040 = m*6*12
• 5040 = m*72
• 5040/72 = 70 = m(Transpose 72 to LHS)

Hence, the mass of the diver is 70 kg.

Answer 2

• 70 kg

Step-by-step explanation:

We know that,

• Kinetic energy = 1/2 mv²

Where m is mass and v is velocity or speed.

Putting the required values,

• 5040 = 1/2 × m ( 12 × 12)
• 5040 × 2 = m × 144
• 10080 = m × 144

divide both side by 144

• m = 70 kg

So the mass of the diver is 70 kg respectively.