Explanation:
The height of an object thrown upward from the floor of a canyon 106 ft deep, with an initial velocity of 120 ft per second. The equation is given by :
Since, the depth of the canyon is (-106 feet) and the time taken by the object to rise to the height of the canyon wall is calculated as :
h = 0
On solving the above quadratic equation,
x₁ = 1.023 seconds
and
x₂ = 6.477 seconds
So, the time taken by the object to rise to the height of the canyon wall is 1.023 seconds (ignoring 6.477 seconds). Hence, this is the required solution.
If the rod is in rotational equilibrium, then the net torques acting on it is zero:
∑ τ = 0
Let's give the system a counterclockwise orientation, so that forces that would cause the rod to rotate counterclockwise act in the positive direction. Compute the magnitudes of each torque:
• at the left end,
τ = + (50 N) (2.0 m) = 100 N•m
• at the right end,
τ = - (200 N) (5.0 m) = - 1000 N•m
• at a point a distance d to the right of the pivot point,
τ = + (300 N) d
Then
∑ τ = 100 N•m - 1000 N•m + (300 N) d = 0
⇒ (300 N) d = 1100 N•m
⇒ d ≈ 3.7 m
Answer:
Explanation:
<u>Temperature Scales
</u>
There are three temperature scales in the modern sciences: Fahrenheit, Celsius, and Kelvin. Fahrenheit temperature scale assigns the value 32 for the freezing point of water and 212 for the boiling point of water and divides that interval into 180 parts. Celsius scale has a similar reference, giving 0 to the freezing point of water and 100 for the boiling point of water. The conversion between them is as follows
The coldest temperature yet measured on the surface of any body in the solar system is -235°C. Converting to Fahrenheit
At the top, the roller coaster has a very large amount of potential energy. This amount of potential energy is present because the roller coaster is at a elevated place with respect to the ground. While the roller coaster goes down some of the potential energy is lost depending on the change in height and is converted to other energy. As the roller coaster is losing the potential energy, it gains some kinetic energy since this type of energy is dependent on the speed of the object moving and the mass. Therefore the answer i believe is where potential energy is converted to kinetic energy.
Answer:
b. Projectiles A & B have the same likelihood of breaking the glass since they have the same initial momentum
.
c. Projectile A has the greater likelihood of breaking the glass since its momentum change is larger.
Explanation:
for option b, the two projectiles have the same initial mass and velocity, hence they posses the same amount of momentum that if sufficient enough could break the glass.
for option c, projectile A changes direction, maintaining the same speed v. Its momentum changes from from mv to -mv, since its speed changed direction.
the difference in momentum becomes
Δp = -mv - mv = -2mv
this is twice the initial momentum.
projectile B changes momentum from mv to 0
Δp = 0 - mv = -mv.
this is half of the final momentum of projectile A.
Also we know that force is proportional to to the rate of change of momentum, which is greater in projectile A, therefore projectile A impacts more force on the glass. Projectile A therefore has the greater likelihood of breaking the glass since its momentum change is larger.