Answer:
a) v = 54.7m/s
b) v = (58 - 1.66a) m/s
c) t = 69.9 s
d) v = -58.0 m/s
Explanation:
Given;
The height equation of the arrow;
H = 58t - 0.83t^2
(a) Find the velocity of the arrow after two seconds. m/s;
The velocity of the arrow v can be given as dH/dt, the change in height per unit time.
v = dH/dt = 58 - 2(0.83t) ......1
At t = 2 seconds
v = dH/dt = 58 - 2(0.83×2)
v = 54.7m/s
(b) Find the velocity of the arrow when t = a. m/s
Substituting t = a into equation 1
v = 58 - 2(0.83×a)
v = (58 - 1.66a) m/s
(c) When will the arrow hit the surface? (Round your answer to one decimal place.) t = s
the time when H = 0
Substituting H = 0, we have;
H = 58t - 0.83t^2 = 0
0.83t^2 = 58t
0.83t = 58
t = 58/0.83
t = 69.9 s
(d) With what velocity will the arrow hit the surface? m/s
from equation 1;
v = dH/dt = 58 - 2(0.83t)
Substituting t = 69.9s
v = 58 - 2(0.83×69.9)
v = -58.0 m/s
Answer:
- The equivalent capacitance of the combination is greater than the capacitance of either of the capacitors.
- The voltage across each of the capacitors is the same.
- The sum of the charge stored on each capacitor is equal to the charge supplied by the battery.
Explanation:
The capacitance connected in parallel will have the same potentials across its ends. If the battery has a charge Q, it is divided among the capacitors.
That is,
Q = q₁ + q₂ + q₃
But, the potential is shared equally as V. So, the individual capacitance of the equation has the form q₁ = C₁V , q₂ = C₂V, etc.
So, in this case, when the effective capacitance is formulated, it would be
C = C₁ + C₂ + C₃ farad
Therefore, the true statements are
The equivalent capacitance of the combination is greater than the capacitance of either of the capacitors.
The potential across each of the capacitors is the same.
The charge supplied by the battery divided among the capacitors.
Answer:
The apple fell at a distance of 4.17 m.
Explanation:
Work is defined as the force that is applied on a body to move it from one point to another. When a force is applied, an energy transfer occurs. Then it can be said that work is energy in motion.
When a net force is applied to the body or a system and this produces displacement, then that force is said to perform mechanical work.
In the International System of Units, work is measured in Joule. Joule is equivalent to Newton per meter.
The work is equal to the product of the force by the distance and by the cosine of the angle that exists between the direction of the force and the direction that travels the point or the object that moves.
Work=Force*distance* cosine(angle)
On the other hand, Newton's second law says that the acceleration of a body is proportional to the resultant of forces on it acting and inversely proportional to its mass. This is represented by:
F=m*a
where F is Force [N], m is Mass [kg] and a Acceleration [m / s²]
In this case, the acceleration corresponds to the acceleration of gravity, whose value is 9.81 m / s². So you have:
- Work= 9 J
- F=m*a=0.22 kg*9.81 m/s²= 2.1582 N
- distance= ?
- angle=0 → cosine(angle)= 1
Replacing:
9 J= 2.1582 N* distante* 1
Solving:
distance= 4.17 m
<u><em>The apple fell at a distance of 4.17 m.</em></u>
<u><em></em></u>
Answer:
- kinetic energy involves motion, and potential energy involves position.
- although both energies involve position, only potential energy involves motion.
hope it is helpful to you ☺️☺️✌️
Answer:
Newton's 3rd law of motion
Explanation:
According to the question, Newt noticed that It hurt his body more when he Jumped off a high diving board than It did when he Jumped off the lower board. What law of newton is this and why
By the time Newt want to jump, for him to do so, he has to push himself against the ground according to the Newton's 3rd law of motion.
The law states that in every action, there will be equal and opposite reaction.
The force at which he pushes himself against the ground will determine the force at which he will carry himself to jump off the high diving board.
The reaction towards the high diving board will be greater than the reaction towards the low diving board.
Therefore, Newt will hurt his body more when he Jumped off a high diving board than It did when he Jumped off the lower board. And the law of newton that is responsible for this is Newton's third law of motion.