Respuesta :
Answer:
0.39 [tex]m/s^2[/tex]
Explanation:
Parameters given:
Mass of car, m = 940 kg
Speed of car, v = 11.8 m/s
Power supplied by engine, P = 4300 W
To get the acceleration, we must define the relationship between Power and velocity.
Power, P, is given in terms of velocity, v, as:
P = F * v
where F = force
This is because Power is given as:
[tex]P = \frac{E}{t} \\\\\\P = \frac{F*d}{t} \\\\\\=> P = F * v[/tex]
(where E = energy. t = time taken, d = distance moved)
Force, F, is given as:
F = m*a
Therefore, Power will be:
P = m * a * v
Acceleration, a, will then be:
[tex]a = \frac{P}{m*v}[/tex]
[tex]a = \frac{4300}{940 * 118} \\\\\\a = 0.39 m/s^2[/tex]
The acceleration of the car at that time is 0.39 [tex]m/s^2[/tex]
Answer: The acceleration of the car at that time is 0.39 m/s^2
Explanation:
Power (P) is given by
Power (P) = work done (W) / time (t)
But, work done (W) = force (F) × displacement (d)
Therefore,
Power (P) = (F × d) / t
But, velocity (V) is defined by
Velocity (V) = displacement (d) / time (t)
Hence,
Power (P) = Force (F) × Velocity (V)
P = F × V
Where P is power is Watts (W)
F is force is Newtons (N)
and V is velocity in meter / second (m/s)
To calculate the acceleration, we will first determine the Force, F
From the question,
P = 4300.0W
V = 11.8 m/s
Therefore,
4300.0 = F × 11.8
F = 4300.0 ÷ 11.8
F = 364.407N
From the formula,
F = m × a
Where m is the mass
a is the acceleration
and F is force
Acceleration is given by,
a = F / m
From the question,
m = 940.0 kg
Hence,
a = 364.407 / 940.0
a = 0.39 m/s^2
