Complete Question
The diagram for this question is shown on the first uploaded image
Answer:
, 
Explanation:
From the question we are told that
The initial velocity of the arcade ball is 
The time taken by the ball to enter the basket is 
Generally the x -component of the initial velocity is
=> 
Generally the y -component of the initial velocity is
=> 
Generally the distance x is mathematically represented as
=> 
=>
Generally from kinematic equation the distance y is mathematically represented as
=> 
=>
Study of interaction between matter and energy using mechianical description
Well, for the distance traveled, the car goes from the northernmost point to the southernmost point. So, it travels half of the circle's circumference = 4.7/2 = 2.35 km.
For the displacement, by going from the northernmost point to the southernmost point, the car basically just travels the diameter of circle.
So, using the formula: Circumference = 2πr = <span>πd
Hence, the d = C/</span>π = 4.7/<span>π = 1.49605... = 1.5 km (2 significant figures)
Therefore, displacement = 1.5 km</span>
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;
