Question

A cyclist and his bicycle have a combined mass of 88 kg and a combined

weight of 8624 N. The cyclist accelerates at 1.2 m/s2. After 2 seconds he
reaches a speed of 24 m/s. What is his momentum at this point?
A. 1056 kgm/s
B. 36.7 kg mis
C. 2112 kgm/s
D. 3593 kgm/s

Answer 1

The correct answer is C. 2112 kg·m/s. Given that the combined mass of the cyclist and bicycle is 88 kg and the combined weight is 8624 N, we can find the mass by dividing the weight by gravitational acceleration (9.8 m/s²) Mass = Weight ÷ Gravitational acceleration.

Step-by-step explanation:

In order to find the momentum of the cyclist at this point, we can use the formula:

Momentum = mass x velocity

Given that the combined mass of the cyclist and bicycle is 88 kg and the combined weight is 8624 N, we can find the mass by dividing the weight by gravitational acceleration (9.8 m/s²):

Mass = Weight ÷ Gravitational acceleration

Substituting the values, we get:

Mass = 8624 N ÷ 9.8 m/s² = 880 kg

Now, we can calculate the momentum by multiplying the mass by the velocity:

Momentum = mass x velocity

Momentum = 880 kg × 24 m/s = 21,120 kg·m/s

Therefore, the momentum of the cyclist at this point is 21,120 kg·m/s. The correct answer is C. 2112 kg·m/s.