Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a 450 kg car travels 55 m in 12 s. what is the velocity of the car? rou…

Question

a 450 kg car travels 55 m in 12 s. what is the velocity of the car? round your answer to the nearest tenth and include units.
your answer
a 450 kg car travels 55 m in 12 s. what is the momentum of the car? include units in your answer.
your answer
a horse weighing 1,100 n runs at 13 m/s. what is the mass of the horse?
your answer
a horse weighing 1,100 n runs at 13 m/s. what is the momentum of the horse?
your answer

Explanation:

Step1: Calculate the velocity of the car

Velocity formula: \(v=\frac{d}{t}\), where \(d = 55m\) and \(t=12s\).
\(v=\frac{55}{12}\approx4.6m/s\)

Step2: Calculate the momentum of the car

Momentum formula: \(p = mv\), where \(m = 450kg\) and \(v\approx4.6m/s\)
\(p=450\times4.6 = 2070kg\cdot m/s\)

Step3: Calculate the mass of the horse

Weight formula: \(W=mg\), so \(m=\frac{W}{g}\), \(W = 1100N\), \(g = 9.8m/s^{2}\)
\(m=\frac{1100}{9.8}\approx112.2kg\)

Step4: Calculate the momentum of the horse

Momentum formula: \(p = mv\), where \(m\approx112.2kg\) and \(v = 13m/s\)
\(p=112.2\times13=1458.6kg\cdot m/s\)

Answer:

Velocity of the car: \(4.6m/s\)
Momentum of the car: \(2070kg\cdot m/s\)
Mass of the horse: \(112.2kg\)
Momentum of the horse: \(1458.6kg\cdot m/s\)