Determine the net force needed to cause a 1310kg sports car to accelerate from 0 - 28.6m/s[fwd] in 5.6 s
Compute the acceleration and multiply it by the mass.
500
To determine the net force needed to cause the sports car to accelerate, you can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.
Given:
Mass of the sports car (m) = 1310 kg
Initial velocity (u) = 0 m/s
Final velocity (v) = 28.6 m/s
Time taken (t) = 5.6 s
To find acceleration (a), we can use the equation:
a = (v - u) / t
Substituting the given values:
a = (28.6 m/s - 0 m/s) / 5.6 s
a = 5.107 m/s^2
Now, to find the net force (F), we can use the equation:
F = m * a
Substituting the given values:
F = 1310 kg * 5.107 m/s^2
F = 6698.57 N
Therefore, the net force needed to cause the sports car to accelerate from 0 to 28.6 m/s in 5.6 s is approximately 6698.57 Newtons (N).
To determine the net force needed to cause the acceleration of a sports car, you need to use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
Given:
Mass of the sports car (m) = 1310 kg
Final velocity of the sports car (v_f) = 28.6 m/s
Initial velocity of the sports car (v_i) = 0 m/s
Time taken (t) = 5.6 s
1. First, calculate the acceleration (a) of the sports car using the formula:
a = (v_f - v_i) / t
Substituting the values:
a = (28.6 m/s - 0 m/s) / 5.6 s
a = 28.6 m/s / 5.6 s
a ≈ 5.11 m/s²
2. Then, calculate the net force (F_net) using the formula:
F_net = m * a
Substituting the values:
F_net = 1310 kg * 5.11 m/s²
F_net ≈ 6694.1 N
Therefore, the net force needed to cause the sports car to accelerate from 0 to 28.6 m/s in 5.6 seconds is approximately 6694.1 Newtons (N) forward.