The most common symbol for momentum is p
Answer:
7. Net constant force down the ramp
Explanation:
After the car is released and starts moving up the ramp, the only force that is applied on the car is weight because of the gravity, we were told that the friction force is neglected. the force because of the weight is given by:

where θ is the angle of the ramp.
as you can see those values won't change, so the force remains constant down the ramp.
Answer:
The pressure at the top of the step is 129.303 kilopascals.
Explanation:
From Hydrostatics we find that the pressure difference between extremes of the water column is defined by the following formula, which is a particular case of the Bernoulli's Principle (
):
(1)
,
- Total pressures at the bottom and at the top, measured in pascals.
- Density of the water, measured in kilograms per cubic meter.
- Height difference of the step, measured in meters.
If we know that
,
,
and
, then the pressure at the top of the step is:




The pressure at the top of the step is 129.303 kilopascals.
Answer:
by a factor of 2
Explanation:
Maximum speed of a body in simple harmonic motion relate to the amplitude by the following formula:
v ( maximum speed in m/s ) = x ( amplitude in meters ) √K /m where K is in N/m and m is kg
v is directly proportional to the amplitude and increases as the amplitude increases by a factor of 2
Answer:

Explanation:
We can try writing the equation of the horizontal component of the length of the minute hand in terms of distance and the angle, that depends of time in this particular case.
The x-component of the length of the minute hand is:
(1)
- d is the length of the minute hand (d=D/2)
- D is the diameter of the clock
- t is the time (min)
Now, using the angular kinematic equations we can express the angle in term of angular velocity and time. As we know, the minute hand moves with a constant angular velocity, so we can use this equation:
(2)
Also we know, that the minute hand moves 90 degrees or π/2 rad in 15 min, so using the definition of angular velocity, we have:
Now, let's put this value on (2)
Finally the length x(t) of the shadow of the minute hand as a function of time t, will be:

I hope it helps you!