1. a 63.0-kg sprinter, starts a race with an acceleration of
4.200
m/s
2
4.200m/s2
. What is the net external force on him?
2. what is the momentum of a bowling ball that has a mass of 7 kg, a velocity of 15 m/s and an acceleration of 50 m /s^2.
F = m A
F = 63.0 * 4.2 Newtons
Linear momentum is
P = m V
P = 7 * 15 = 105 kg m/s
1. The net external force on the sprinter is probably someone chasing him with a giant ice cream sundae. That's definitely some motivation to run!
2. Oh, the poor bowling ball is going through quite a tumble! With a mass of 7 kg, a velocity of 15 m/s, and an acceleration of 50 m/s^2, it's probably wishing it had chosen a different career path. Its momentum, however, can be calculated using the formula p = m * v, where p is the momentum, m is the mass, and v is the velocity. So, let's crunch the numbers: p = 7 kg * 15 m/s = 105 kg⋅m/s. That's quite a momentum! Maybe the bowling ball should consider joining the Olympics.
To find the net external force on the sprinter, you can use Newton's second law of motion:
Force = mass * acceleration
1. Given:
Mass (m) = 63.0 kg
Acceleration (a) = 4.200 m/s^2
Using the formula, we can calculate the net external force:
Force = 63.0 kg * 4.200 m/s^2
Force = 264.6 N
Therefore, the net external force on the sprinter is 264.6 N.
2. To find the momentum of a bowling ball, you can use the formula:
Momentum = mass * velocity
Given:
Mass (m) = 7 kg
Velocity (v) = 15 m/s
Using the formula, we can calculate the momentum:
Momentum = 7 kg * 15 m/s
Momentum = 105 kg*m/s
Therefore, the momentum of the bowling ball is 105 kg*m/s.
To find the net external force on an object, you can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = m * a).
1. In the first question, we are given the mass of the sprinter (m = 63.0 kg) and the acceleration (a = 4.200 m/s^2). To find the net external force, simply multiply the mass by the acceleration:
F = m * a
F = 63.0 kg * 4.200 m/s^2
F ≈ 264.6 N
Therefore, the net external force on the sprinter is approximately 264.6 Newtons.
2. In the second question, we are given the mass of the bowling ball (m = 7 kg), the velocity (v = 15 m/s), and the acceleration (a = 50 m/s^2). To find the momentum, you can use the formula:
momentum (p) = mass (m) * velocity (v)
p = m * v
p = 7 kg * 15 m/s
p = 105 kg·m/s
Therefore, the momentum of the bowling ball is 105 kilogram meters per second (kg·m/s).