Answer:
The centripetal acceleration of the runner is .
Explanation:
Given that,
A runner completes the 200 m dash in 24.0 s and runs at constant speed throughout the race. We need to find the centripetal acceleration as he runs the curved portion of the track. We know that the centripetal acceleration is given by :
v is the velocity of runner
Centripetal acceleration,
So, the centripetal acceleration of the runner is . Hence, this is the required solution.
Answer:
2.67kg
Explanation:
The maximum velocity, of a body experiencing simple harmonic motion is given by equation (1);
where is the angular velocity and A is the amplitude.
The problem describes the oscillation of a loaded spring, and for a loaded spring the angular velocity is given by equation (2);
where k is the force constant of the spring and m is the loaded mass.
We can make the subject of formula in equation (1) as follows;
We then combine equations (2) and (3) as follows;
According to the problem, the following are given;
We then substitute these values into equation (4) and solve for the unknown mass m as follows;
Squaring both sides, we obtain the following;