Answer:
The speed of the car = 3.32 m/s
Explanation:
Speed: This can be defined as the rate of change of distance. The S.I unit of speed is m/s.
Note: From the question, The force acting on the car through the winch = The tension on the cable.
F = T = ma..................... Equation 1
Where F = Force on the car, T = tension on the cable, m = mass of the car, a = acceleration of the car.
Where T = 100(s+1) N,
100(s+1) = ma ......................... Equation 2
making a the subject of equation 2
a = 100(s+1)/m ...................... Equation 3.
When s = 10 m, m = 2 Mg = 2×10³ kg = 2000 kg
a = 100(10+1)/2000
a = 0.55 m/s²
Using
v² = u²+2as........................... Equation 4
Where a = 0.55 m/s², s = 10 m, u = 0 m/s
Substituting into equation 4
v² = 0² + 2(0.55)(10)
v² = 11
v = √11
v = 3.316
v ≈ 3.32 m/s.
Thus the speed of the car = 3.32 m/s
