54J
You calculate kinetic energy by the equation.
KE= 1/2mv^2
m= mass
v= velocity
then we have
KE = 1/2 x 3 x 6^2
KE = 1/2 x 3 x 36 = 54J
Answer:
a. The speed is 2.39 m/s
b. The acceleration of the block is 10.2
Explanation:
First, we have to do the energy balance where we consider two states, the first where the spring remains still and the second when it is stretched 0.400m:
Δx=
W_{ext}=20.4 Nm

To determine, the acceleration we solve the following equation for a:

Answer:
<em>It takes 3 seconds to reach its high point</em>
Explanation:
<u>Projectile Motion</u>
In a projectile motion (or 2D motion), the object is launched with an initial angle θ and an initial velocity vo.
The components of the velocity are


The speed in the horizontal direction at any time t is:

The time taken to reach the maximum height is when vy=0, or:

We are given the y-component of the velocity, thus:


It takes 3 seconds to reach its high point
In order to calculate the temperature, we need to know that temperature and pressure are directly proportional, that is, if the pressure increases, the temperature (in Kelvin) also increases in the same proportion.
So, first let's convert the temperature from Celsius to Kelvin, by adding 273 units:

Then, let's calculate the proportion:

Now, converting back to Celsius, we have:

So the temperature would be 166.5 °C.