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2 answers:
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The acceleration of the car at impact is 15m/s².
<h3>What is Newton's Second Law of Motion?</h3>Newton's second law provides a precise explanation of the modifications that a force can make to a body's motion. According to this, a body's momentum changes at a rate that is equal to the force acting on it over time in both magnitude and direction. A body's momentum is equal to the sum of its mass and velocity. Similar to velocity, momentum has both a magnitude and a direction, making it a vector quantity.
acceleration - rate of change of velocity with time, both in terms of speed and direction. A point or object going straight forward is accelerated when it accelerates or decelerates.
There are three types of accelerated motions :
- uniform acceleration,
- non-uniform acceleration
- average acceleration.
express all the units in their most basic form.
kg, newton = kg*m/s², acceleration =m/s²
to learn more about Newton's Second law of Motion - brainly.com/question/13447525
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Answer:
a) A = [m /s²]
, B = [m / ]
, b) v = a to + 2B/3
Explanation:
a) to define the units of the constants, we see that the left part has units of acceleration so the right part must also have the same units
A = [m /s²]
B = [m / s²]
B = [m / ]
b) We must use the definition of acceleration
a = dv / dt
dv = adt
We integrate
∫ dv = ∫ (A + B ) dt
v = a t + B 2/3
We evaluate between:
the lower limit t = 0 v = o and the upper limit t = to v = v
v = a to + 2B/3
c) Let's use the definition of speed
v = dx / dt
dx = v dt
∫ dx = ∫ (a t + 2B/3 ) dt
x = a t²/2 + 2b/3 2/5
For the interval t = 0 and t = to, we evaluate the integral
x = A/2 t₀² + 4B/15 √t₀⁵
Gravitational potential energy is converted into kinetic energy
Explanation:
There are two forms of energy involved in the situation described in the problem:
- Gravitational potential energy: it is the energy possessed by a body due to its position in the gravitational field. Near the Earth surface, it is given by
, where m is the mass of the body, g is the acceleration of gravity, h is the height of the object from the ground
- Kinetic energy: it is the energy possessed by a body due to its motion. It is given by
, where m is the mass of the body and v its speed.
In this problem, Sonja and the bike starts from the top of the hill and they ride downhill. As they go downhill, their altitude from the ground (h) decreases, so their gravitational potential energy decreases; at the same time, since the total energy is conserved (in absence of friction or air resistance), the speed of the bike and Sonja increases, and their kinetic energy increases. Therefore, there is a conversion of energy from gravitational potential to kinetic.
Learn more about kinetic and potential energy:
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