The height difference is found by

Then the change in potential energy is
Answer:
A) 138.8g
B)73.97 cm/s
Explanation:
K = 15.5 Kn/m
A = 7 cm
N = 37 oscillations
tn = 20 seconds
A) In harmonic motion, we know that;
ω² = k/m and m = k/ω²
Also, angular frequency (ω) = 2π/T
Now, T is the time it takes to complete one oscillation.
So from the question, we can calculate T as;
T = 22/37.
Thus ;
ω = 2π/(22/37) = 10.5672
So,mass of ball (m) = k/ω² = 15.5/10.5672² = 0.1388kg or 138.8g
B) In simple harmonic motion, velocity is given as;
v(t) = vmax Sin (ωt + Φ)
It is from the derivative of;
v(t) = -Aω Sin (ωt + Φ)
So comparing the two equations of v(t), we can see that ;
vmax = Aω
Vmax = 7 x 10.5672 = 73.97 cm/s
Answer:
The change in temperature, 
Explanation:
Given that,
The temperature in Spearfish, South Dakota, rose from
in just 2 minutes. We need to find the temperature change in Celsius degrees. Change in temperature is given by final temperature minus initial temperature such that,

The relation between degrees Celsius and degrees Fahrenheit is given by :

Here, F = 49 degrees

So, the change in temperature is 9.45 degree Celsius. Hence, this is the required solution.
Answer:
F = 19.1 N
Explanation:
To find the force exerted by the string on the block you use the following formula:
(1)
k: spring constant = 95.5 N/m
x: displacement of the block from its equilibrium position = 0.200 m
you replace the values of k and x in the equation (1):

Hence, the force exterted on the block is 19.1 N
Answer:
Impulse = 88 kg m/s
Mass = 8.8 kg
Explanation:
<u>We are given a graph of Force vs. Time. Looking at the graph we can see that the Force acts approximately between the time interval from 1sec to 4sec. </u>
Newton's Second Law relates an object's acceleration as a function of both the object's mass and the applied net force on the object. It is expressed as:
Eqn. (1)
where
: is the Net Force in Newtons (
)
: is the mass (
)
: is the acceleration (
)
We also know that the acceleration is denoted by the velocity (
) of an object as a function of time (
) with
Eqn. (2)
Now substituting Eqn. (2) into Eqn. (1) we have
Eqn. (3)
However since in Eqn. (3) the time-variable is present, as a result the left hand side (i.e.
is in fact the Impulse
of the cart ), whilst the right hand side denotes the change in momentum of the cart, which by definition gives as the impulse. Also from the graph we can say that the Net Force is approximately ≈
and
(thus just before the cut-off time of the force acting).
Thus to find the Impulse we have:

So the impulse of the cart is 
Then, we know that the cart is moving at
. Plugging in the values in Eqn. (3) we have:

So the mass of the cart is
.