Answer:
A)The time taken to reach a speed of 28 m/s is approximately 9.66 seconds.
B)The force required to produce this acceleration is 4640 Newtons.
C)The kinetic energy of the car when its speed is 28 m/s is 627,200 Joules.
Explanation:(i) To calculate the time taken to reach a speed of 28 m/s, we can use the formula:
v = u + at
where v is the final velocity (28 m/s), u is the initial velocity (0 m/s, since the car starts from rest), a is the acceleration (2.9 m/s²), and t is the time. Rearranging the formula to solve for t:
t = (v - u) / a
Plugging in the given values:
t = (28 m/s - 0 m/s) / (2.9 m/s²) = 28 m/s / 2.9 m/s² ≈ 9.66 s
So, the time taken to reach a speed of 28 m/s is approximately 9.66 seconds.
(ii) To calculate the force required to produce this acceleration, we can use Newton's second law of motion:
F = ma
where F is the force, m is the mass (1600 kg), and a is the acceleration (2.9 m/s²). Plugging in the given values:
F = 1600 kg × 2.9 m/s² = 4640 N
So, the force required to produce this acceleration is 4640 Newtons.
(iii) To calculate the kinetic energy of the car when its speed is 28 m/s, we can use the formula:
KE = 0.5mv²
where KE is the kinetic energy, m is the mass (1600 kg), and v is the velocity (28 m/s). Plugging in the given values:
KE = 0.5 × 1600 kg × (28 m/s)² = 0.5 × 1600 kg × 784 m²/s² = 627200 J
So, the kinetic energy of the car when its speed is 28 m/s is 627,200 Joules.