Answer:
Time taken to stop the door is 5 s
Solution:
As per the question:
Angular speed,
Angular acceleration,
Now,
Using Kinematic eqn for rotational motion:
Since, the value of < , thus we will able to stop the door before it closes.
Time taken to stop the door, t :
t = 5 s
The horizontal movement of the rocket is 11m/s, with an acceleration of 1.6m/s². The vertical movement will be downward, with an initial velocity of zero (it was shot horizontally) and a negative acceleration of g (-9.8m/s²)
To see how far the rocket traveled before hitting the ground, let's first figure out the time t at which the rocket hit the ground:
The formula for distance is d= vt + (1/2)at² ,
Where v=initial velocity, d=distance traveled, a=acceleration, and t=time
We want to find how long it took to travel 40 meters (height above the ground), given an initial velocity of 0 and negative acceleration of 9.8
Plugging into the equation:
40 = 0(t) + (1/2) (9.8) (t²) Multiply both sides by (2/9.8)
8.16 = t² Square root of both sides
t= 2.85
The rocket traveled for 2.85 seconds before hitting the ground. Plug this number into our distance formula to find horizontal distance
d= vt + (1/2)at²
d = 11 (2.85) + (1/2) (1.6) (2.85²)
Remember that initial horizonal velocity is 11m/s and horizontal acceleration is 1.6m/s²
Simplify:
d= 31.35 + .8 * 8.16
d = 37.87
The object traveled 37.87 meters before hitting the ground.
Answer:
d = 303.33 m
Explanation:
Given that,
Acceleration of Doc Brown is 2.52 m/s²
The initial speed of Doc Brown is 0 as it was at rest.
Final speed of Doc Brown is 39.1 m/s
We need to find the distance between he and Marty. Let the distance is d. Using equation of motion as follows :
So, the distance between he and Marty is 303.33 m.
Answer:
B) uniform
Explanation:
We can solve this problem by using Boyle's law, which states that:
<em>For a constant mass of an ideal gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume.</em>
Mathematically:
where
p is the pressure of the gas
V is its volume
If we apply the equation to the bottle in the problem, we see that:
- when the volume of the bottle (and therefore, of the gas inside) decreases, than the pressure will increase
- viceversa, when the volume of the bottle increases, the pressure will decrease
The amount by which the pressure increases is inversely proportional to the decrease in volume, so the answer depends on how the volume of the bottle decreases: however, if the volume of the bottle decreases uniformly, then we can say that the pressure inside the bottle will also increases uniformly.
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Answer:
Impulse is 0.4 x 18= 7.2
Explanation:
Impulse is defined as the integral of force over the time duration. When you do the integration of Newtons second law, momentum is
= Δp
If momentum p is defined as the integral of force per unit time, then we can take the area under the curve to find momentum, as the area under the curve can approximate the integral of the function.
Therefore, to quickly summarize, taking the maximum force, 18N , multiplied by duration of the interaction, which is 0.5s-0.1s=0.4s, will give your momentum, in the units of kg•m/s.
Hope that helps!