Answer:
69.28 m/s
Step-by-step explanation:
From the question given above, the following data were obtained:
Power = 400 Watt
Time (t) = 10 minutes
Mass (m) = 100 Kg
Velocity (v) =?
Next, we shall convert 10 mins to seconds (s). This can be obtained as follow:
1 min = 60 s
Therefore,
10 mins = 10 × 60
10 mins = 600 s
Next, we shall determine the energy. This can be obtained as follow:
Power = 400 Watt
Time (t) = 600 s
Energy (E) =?
E = Pt
E = 400 × 600
E = 240000 J
Finally, we shall determine how fast the cart is moving. This can be obtained as illustrated below:
Mass (m) = 100 Kg
Energy (E) = Kinetic energy (KE) = 240000 J
Velocity (v) =?
KE = ½mv²
240000 = ½ × 100 × v²
240000 = 50 × v²
Divide both side by 50
v² = 240000 / 50
v² = 4800
Take the square root of both side
v = √4800
v = 69.28 m/s
Thus, the cart is moving with a speed of 69.28 m/s