Given :
You fire a paintball from a paintball gun straight up into the air at 25.0 m/s.
To Find :
What is the ball velocity at the higher point that the ball reaches.
Solution :
We know, when ball is moving upward acceleration due to gravity is applied downward.
So, the ball will decelerate and when ball reaches maximum height its velocity will become zero.
Therefore, ball velocity is 0 m/s at maximum height.
Hence, this is the required solution.
Answer:
It would take
time for the capacitor to discharge from
to
.
It would take
time for the capacitor to discharge from
to
.
Note that
, and that
.
Explanation:
In an RC circuit, a capacitor is connected directly to a resistor. Let the time constant of this circuit is
, and the initial charge of the capacitor be
. Then at time
, the charge stored in the capacitor would be:
.
<h3>a)</h3>
.
Apply the equation
:
.
The goal is to solve for
in terms of
. Rearrange the equation:
.
Take the natural logarithm of both sides:
.
.
.
<h3>b)</h3>
.
Apply the equation
:
.
The goal is to solve for
in terms of
. Rearrange the equation:
.
Take the natural logarithm of both sides:
.
.
.
Answer:
diameter of the wire = 0.05 in =0.05 /12 =4.167 *10 ^-3 ft
area of cross section of the wire = A = 22/7 * ( d /2 ) ^2 =0.786 * ( 4.167 *10 ^-3 ) ^2 =1.365 *10 ^-5 ft2
E =...
Explanation:
Answer:
4.0 m/s²
Explanation:
Draw two free body diagrams, one for the cart and one for the hanging mass.
The cart has one force acting on it in the x direction: tension to the right.
The hanging mass has two forces acting on it in the y direction: tension up and weight down.
The hanging mass accelerates downward, so if we take up to be positive, then the acceleration is negative.
Apply Newton's second law to the hanging mass:
∑F = ma
T − m₂g = m₂(-a)
T − m₂g = -m₂a
Apply Newton's second law to the cart:
∑F = ma
T = m₁a
Substitute and solve for a:
m₁a − m₂g = -m₂a
m₁a + m₂a = m₂g
(m₁ + m₂) a = m₂g
a = m₂g / (m₁ + m₂)
Given m₁ = 2.3 kg and m₂ = 1.6 kg:
a = (1.6 kg × 9.8 m/s²) / (2.3 kg + 1.6 kg)
a = 4.0 m/s²
It's 15 N because net force is total force so you take net force - known force = unknown force