Answer:
A. 0.806 kN
B. 0.303 kN
Explanation:
<h3>A.</h3>
The kinetic energy of the ball is ...
KE = 1/2mv² = 1/2(0.206 kg)(18 m/s)² = 33.372 J
The work required to reduce this to zero over a distance of 4.14 cm is ...
W = Fd
F = W/d = (33.372 J)/(0.0414 m) = 0.806 kN
__
<h3>B.</h3>
When the distance is 11 cm, the force is ...
F = (33.372 J)/(0.11 m) = 0.303 kN
Answer:If you add a proton to the atom, it becomes beryllium (atomic number = 4).
It is an ion with a +1 charge, since the number of protons (4) no longer equals
the number of electrons (3).
So you have a beryllium +1 ion - the best answer choice is C.
Explanation:if this isn’t right I am so sorry
Answer:
0.572 Hz
Explanation:
given,
length of simple pendulum, l = 0.76 m
mass of the bob, m = 365 g = 0.365 Kg
angle made from the vertical, = 12°
frequency, f = ?
f = 0.572 Hz
The frequency at which pendulum vibrates is equal to 0.572 Hz
Answer:
1. k = 183.33 N/m
2. E = 0.33 J
3. x(t) = 0.06cos(2πt)
Explanation:
1. Determine the spring constant of the spring.
To determine the spring constant, we use hooke's law:
F = kΔx
where
F is the force = 11 N
Δx is the displacement = 0.06 m
k is the spring constant
k = F/Δx
k = 11/0.06 = 183.33 N/m
2. Determine the total energy of the system
the total energy(E) = Δ = 0.5 × 183.33 × 0.06² = 0.33 J.
Therefore the total energy of the system is 0.33 J
3. Write an expression x(t) for the motion of the cart. Assume the frequency f=1Hz. Express your answer in terms of the variable t and constant pi.
The expression for the motion of the cart x(t) is given by:
x(t) = Δxcos(2πft)
where the frequency f = 1 Hz
x(t) = 0.06cos(2π ×1 × t)
x(t) = 0.06cos(2πt)