Answer:
50m/s, 187.5m
Explanation:
Consider unit analysis:
m/s² = m/(s×s)
This can be read as "meters per second, per second". From fundamental kinematics, meters per second is the same as saying velocity.
Velocity is being increased per second, and this is called acceleration:
a = v/t, where a is acceleration, v is change of velocity and t is change of time. "Change" is represented by a triangle called delta and (delta)A = A2 - A1
From the question, we have the variables:
a = 5m/s²
(delta)v = v2 - 25m/s
(delta)t = 5s (initial time is 0)
a = v/t
(5m/s^2)=v/5s
25m/s = v2 - 25m/s
50m/s = v2
The final velocity of the vehicle is 50m/s.
A formula exists to find displacement with regards to acceleration:
d=v(initial) × t +1/2 × a × t²
d=25m/s × 5s + 1/2 × 5m/s² ×(5s)²
d=125m+1/2×125m
d=125m+62.5m
d=187.5m
The distance travelled by the vehicle is 192.5m.
<em>One of the most important skills you can have in any science is unit analysis. Treat meters, seconds, moles, etc as </em><em>values</em><em> when doing </em><em>calculations</em><em> </em><em>and see if you get the result you're looking for.</em>
Answer: The answer is 700kg
Explanation:
Answer:
<em>The apple's potential energy is 0.9555 Joule</em>
Explanation:
<u>Gravitational Potential Energy</u>
Gravitational potential energy is the energy stored in an object because of its vertical position or height in a gravitational field.
It can be calculated with the equation:
Where m is the mass of the object, h is the height with respect to a fixed reference, and g is the acceleration of gravity, or 9.8 m/s^2.
The apple has a mass of m=0.15 kg and it's located at a height of h=0.65 m. Calculate the potential energy:
The apple's potential energy is 0.9555 Joule
Answer:
- The x-component of the velocity of the third particle is
- The y-component of the velocity of the third particle is
- The increase in kinetic energy is
Explanation:
We can take conservation of linear momentum to find the velocities:
The initial momentum of the nucleus will be:
as is at rest.
After the decay, the first particle has a momentum
the second one has a momentum
By conservation of linear momentum we have:
for the third particle, we know that mass is conserved:
The velocity will be:
The kinetic energy is given by
And, as the initial kinetic energy is zero, this must be the increase in energy.