Question

A baby carriage is rolling down a hill at 18m/s. If the carriage has 90J of kinetic energy, what is the mass of the carriage?

Answer 1

Answer:

$\boxed{\mathfrak{Mass \ of \ carriage \ (m) = 0.56 \ kg}}$

Explanation:

Kinetic Energy of carriage (KE) = 90 J

Velocity of carriage (v) = 18 m/s

Formula:

$\boxed{ \bold{KE = \frac{1}{2} m {v}^{2} }}$

m → Mass of carriage

By substituting value in the formula we get:

$\rm \implies 90 = \dfrac{1}{2} m \times {18}^{2} \\ \\ \rm \implies 162m = 90 \\ \\ \rm \implies m = \frac{90}{162} \\ \\ \rm \implies m = 0.56 \: kg$

Answer 2

Answer :

➥ The mass of the carriage = 0.56 kg

Given :

➤ Kinetic energy of the carriage (K.E) = 90 J

➤ Velocity of the carriage (v) = 18 m/s

To Find :

➤ Mass of the carriage (m) = ?

Solution :

We can find Mass of the carriage by using the formula which says K.E = ½mv²,

☃️ So let's calculate m !

As we know that

$\tt{:\implies K.E = \dfrac{1}{2}mv^{2}}$

$\tt{:\implies 90 = \dfrac{1}{2} \times m \times {18}^{2} }$

$\tt{:\implies 90 = \dfrac{1}{ \cancel{ \: 2 \: }} \times m \times \cancel{18} \times 18 }$

$\tt{:\implies 90 = 1 \times m \times 9 \times 18 }$

$\tt{:\implies 90 =m \times 9 \times 18}$

$\tt{:\implies 90 =m \times 62}$

$\tt{:\implies 90 =62m}$

$\tt{:\implies \cancel{ \dfrac{90}{62}} = m }$

$\tt{:\implies 0.56 = m}$

$\bf{:\implies \underline{ \: \: \underline{ \red{ \: \: m = 0.56 \: kg \: \: }} \: \: }}$

║Hence, the mass of the carriage is 0.56 kg.║

⠀ ⠀⠀

Additional Information :

What is Kinetic energy ?

➜ The kinetic energy of an object is the energy that it possesses due to its motion.

❍ Kinetic energy definition is given as:

The energy of an object because of its motion or the energy gained by an object from its state of rest to motion.

What is the formula of Kinetic energy ?

➜ K.E = ½ mv²

Where,

• K.E is the Kinetic energy.
• m is the mass.
• v is the velocity.

What is the unit of Kinetic energy ?

➜ SI unit → Joule

➜ CGS unit → erg

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