Question

The work done on a 10 kilogram mass to give it a speed of 5 meters per second is

Answer 1

The work done on a 10 kg mass to accelerate it to a speed of 5 m/s is calculated using the kinetic energy formula, which yields 125 Joules.

Step-by-step explanation:

The work done on an object can be calculated using the concept of kinetic energy in physics. The formula for kinetic energy is K = (1/2)mv², where m is the mass of the object and v is its velocity. Applying this to a 10 kilogram mass being accelerated to a speed of 5 meters per second, we find that the kinetic energy (and hence the work done) is:

Write down the formula for kinetic energy: K = (1/2)mv².

Substitute the mass (m = 10 kg) and the velocity (v = 5 m/s) into the equation.

Perform the calculation: K = (1/2) × (10 kg) × (5 m/s)² = (1/2) × 10 × 25 = 125 J.

Thus, the work done on the mass to bring it to a speed of 5 m/s is 125 Joules.

Answer 2

Answer: 125 Joules

Step-by-step explanation:

The equation linking distance, speed and work done together is Ek = 1/2 x mass x speed^2.

It is important to remember that Work done is measured in Joules and so it is the same as working out the energy required i.e. any form of energy like thermal energy or kinetic energy (like in this example).

So.. Ek = kinetic energy (Ek)

Mass = kilograms (kg)

Speed = metres per second (m/s)

Therefore, the answer to this question is:
Ek = 1/2 x 10 x 5^2

Ek = 5 x 25

Ek = 125 J (Joules)

And since Ek is the same as work done..

Work done = 125 J