35.2k views
3 votes
A car has a kinetic energy of 4.33 × 10³ J when

traveling at a speed of 23 m/s.
What is its mass?

User Osnoz
by
6.8k points

2 Answers

0 votes

Answer:

Step-by-step explanation:

The kinetic energy of an object is equivalent to 1/2 times its mass times the square of its velocity. K.E. = 1/2(m)(v^2), m is in kg, and v is in m/s.

4,330J = (1/2)(m)(529)

m = 8,660/529 = 16.37kg

We find this to be a very small mass; but then there is no description of the car proper.

User Jordaan Mylonas
by
7.4k points
4 votes

Answer:

16.37 kg.

Step-by-step explanation:

The formula for kinetic energy is:

KE = (1/2) * m * v^2

where KE is kinetic energy, m is mass, and v is velocity.

We are given KE = 4.33 × 10³ J and v = 23 m/s.

Plugging these values into the formula, we get:

4.33 × 10³ J = (1/2) * m * (23 m/s)^2

Simplifying and solving for m, we get:

m = 4.33 × 10³ J / [(1/2) * (23 m/s)^2]

m = 4.33 × 10³ J / (0.5 * 529 m^2/s^2)

m = 4.33 × 10³ J / 264.5 J/(kg·m^2/s^2)

m = 16.37 kg

Therefore, the mass of the car is approximately 16.37 kg.

User Zombian
by
8.5k points