- a 1200 W motor bike can move at a maximum speed of 30.0 m/s . how much force does the motor exert?
- what would be the average momentum of 60.0 kg sprinter who finishes 100.0 m in 60 s?
An object dropped from a window of a tall building hits the ground in 14.1 s. If its acceleration is 10 m/s^2, the height of the window above the ground is (you may neglect air resistance):
To find the force exerted by a motor, we can use the equation:
Force = Power / Velocity
In this case, the power of the motor is given as 1200 W and the velocity is 30.0 m/s.
Plugging in these values, we can calculate the force:
Force = 1200 W / 30.0 m/s
Force = 40 Newtons
Therefore, the motor exerts a force of 40 Newtons.
Moving on to the second question, the average momentum of an object is given by the equation:
Momentum = Mass × Velocity
In this case, the mass of the sprinter is given as 60.0 kg and the distance covered is 100.0 m in 60 s.
First, we need to find the average velocity of the sprinter using the formula:
Velocity = Distance / Time
Velocity = 100.0 m / 60 s
Velocity = 1.67 m/s
Now, we can calculate the average momentum using the given mass and velocity:
Momentum = 60.0 kg × 1.67 m/s
Momentum = 100.2 kg·m/s
Therefore, the average momentum of the 60.0 kg sprinter who finishes 100.0 m in 60 s is 100.2 kg·m/s.