Answer:
1. 24500 N.
2. 191406.25 watt
Step-by-step explanation:
From the question given above, the following data were obtained:
Mass (m) of car = 1000 Kg
Initial velocity (u) = 35 m/s
Distance (s) = 25 m
Final velocity (v) = 0 m/s
Time (t) = 3.2 s
Force (F) =?
Power (P) =?
Next, we shall determine the acceleration of the car. This can be obtained as follow:
Initial velocity (u) = 35 m/s
Distance (s) = 25 m
Final velocity (v) = 0 m/s
Acceleration (a) =?
v² = u² + 2as
0 = 35² + (2 × a × 25)
0 = 1225 + 50a
Collect like terms
0 – 1225 = 50a
– 1225 = 50a
Divide both side by 50
a = – 1225 / 50
a = –24.5 m/s²
1. Determination of the force.
Mass (m) of car = 1000 Kg
Acceleration (a) = –24.5 m/s²
Force (F) =?
F = m × a
F = 1000 × –24.5
F = –24500 N
The negative sign indicate that the force is in opposite direction to the motion of the car.
2. Determination of the power
Force (F) = 24500 N
Distance (s) = 25 m
Time (t) = 3.2 s
Power (P) =?
Next, we shall determine the energy.
Energy = force × distance
Energy = 24500 × 25
Energy = 612500 J
Finally, we shall determine the power. This is illustrated below:
Power = Energy /time
Power = 612500 /3.2
Power = 191406.25 watt