# The kinetic energy of a bicycle is 24 J and its impulse is 12 kg times m / s. Find the mass and speed of the bike.

September 12, 2021 | education

| Ek = 24 J.

p = 12 kg * m / s.

m -?

V -?

The kinetic energy of the body Ek is a scalar physical quantity that shows what kind of mechanical work the body can perform. The kinetic energy of the body, Ek, is determined by the formula: Ek = m * V2 / 2, where m is the mass of the body, V is the speed of the body.

The momentum of a body p is a vector physical quantity equal to the product of the body’s mass m by its velocity V: p = m * V.

Ek = p * V / 2.

V = 2 * Ek / r.

V = 2 * 24 J / 12 kg * m / s = 4 m / s.

m = p / V.

m = 12 kg * m / s / 4 m / s = 3 kg.

Answer: a bicycle with a mass of m = 3 kg moves at a speed of V = 4 m / s.

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