Answer:
All are correct
Explanation:
A concave spherical mirror produces both types of images real and virtual of an object.
The concave spherical mirror forms a real image when the object placed between the focus and infinity.
The concave spherical mirror forms a virtual image when the object is placed between focus and the pole of the mirror.
So, it forms real and virtual both types of images and it forms the image size is more than object size, equal to object size and less than the object image.
All the options are correct.
Answer: 3.4s
Explanation:
There are three stages in the motion of the ball, so you have to calculate the times for every stage.
1) Ball dropping from 9.5m: free fall
d = Vo + gt² / 2
Vo = 0 ⇒ d = gt² / 2 ⇒ t² = 2d / g = 2 × 9.5 m / 9.81 m/s² = 1.94 s²
⇒ t = √ (1.94 s²) = 1.39s
2) Ball rising 5.7m (vertical rise)
i) Determine the initial speed:
Vf² = Vo² - 2gd
Vf² = 0 ⇒ Vo² = 2gd = 2 × 9.81 m/s² × 5.7m = 111.8 m²/s²
⇒ Vo = 10.6 m/s
ii) time rising
Vf = Vo - gt
Vf = 0 ⇒ Vo = gt ⇒
t = Vo / g = 10.6 m/s / 9.81 m/s² = 1.08 s
3) Ball dropping from 5.7 m to 1.20m above the pavement (free fall)
i) d = 5.7m - 1.20m = 4.5m
ii) d = gt² / 2 ⇒ t² = 2d / g = 2 × 4.5 m / 9.81 m/s² = 0.92 s²
⇒ t = √ (0.92 s²) = 0.96s
4) Total time
t = 1.39s + 1.08s + 0.96s = 3.43s ≈ 3.4s
Answer:
Explanation:
Newton's law of gravitation states that every particle of matter attracts any other particle in the universe with a force directly proportional to the product of there masses and inversely proportional to the square of the distance between them.
This law is also called universal law because it is applicable to all masses at all distances irrespective of the medium.
2, What is Madison's momentum? (Assume the positive direction is to the right and the negative direction is to the left.)
3. What is the total momentum of Elena and Madison?
4. When Elena and Madison collide, they hold onto each other. With what speed and in what direction do both of them move at?
1. +72.0 kg m/s
The momentum of an object is given by:
p = mv
where
m is the mass of the object
v is its velocity
Taking "to the right" as positive direction, for Elena we have
m = 60.0 kg is the mass
v = +1.20 m/s is the velocity
So, Elena's momentum is
2. -162.5 kg m/s
Here Madison is moving in the opposite direction of Elena (to the left), so her velocity is
v = -2.50 m/s
while her mass is
m = 65.0 kg
Therefore, her momentum is
3. -90.5 kg m/s
The total momentum of Elena and Madison is equal to the algebraic sum of their momenta; taking into account the correct signs, we have:
4. 0.72 m/s to the left
We can find the final speed of Elena and Madison by using the law of conservation of momentum. In fact, the final momentum must be equal to the initial momentum (before the collision).
The initial momentum is the one calculated at the previous step:
while the final momentum (after the collision) is given by
where
is Elena's mass
is Madison's mass
v is their final velocity
According to the law of conservation of momentum,
So we can find v:
and the direction is to the left, since the sign is negative.
Elena's momentum is 72.0 kg*m/s to the right, Madison's is -162.5 kg*m/s to the left. The total system momentum is -90.5 kg*m/s to the left. After colliding, they move together with a speed of 0.724 m/s to the left.
The subject here is Physics, specifically the conservation of momentum. Momentum is calculated as mass times velocity. The positive and negative signs denote direction (right, left).
Elena's momentum is the product of her mass (60.0 kg) and velocity (1.20 m/s). Hence, momentum = 60.0 kg * 1.20 m/s = 72.0 kg*m/s towards the right (positive).
Madison's momentum is the product of her mass (65.0 kg) and velocity (2.50 m/s). Because she's moving to the left, the velocity is negative. Hence, momentum = 65.0 kg * -2.50 m/s = -162.5 kg*m/s towards the left (negative).
The total momentum of Elena and Madison is the sum of their individual momenta: 72.0 kg*m/s + (-162.5 kg*m/s) = -90.5 kg*m/s to the left.
When they collide and hold onto each other, they move together, so their combined mass is 60.0 kg + 65.0 kg = 125.0 kg. The total system's momentum should still be conserved, so -90.5 kg*m/s = 125.0 kg * velocity. Solving for the speed gives velocity = -90.5 kg*m/s / 125.0 kg = -0.724 m/s. The negative sign indicates they move in the negative direction or to the left.
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Answer:
8.70 seconds.
Explanation:
1. Use the kinematic equation: v = u + at,
v = final velocity
u = initial velocity
a = acceleration
t = time.
Find variables and numbers:
v = ?
u = 20 m/s
a = -2.3 m²
v = 0 m/s
Rearrange values: t = (v - u) / a.
Plugging in the values: t = (0 - 20) / (-2.3) = 20 / 2.3
The displacement of a cyclist who travels 1 mile north 1 mile east then finally 1 mile south will be 1 mile in the east direction.
A displacement is a vector in engineering and mechanics that has a length equal to the shortest route between a point P's initial and final positions.
The displacement is the vector quantity that depends on the magnitude as well as direction. And follows the law of vector addition.
The cyclist who travels 1 mile north 1 mile east then finally 1 mile south. Then the diagram is drawn below.
From the graph, the displacement is given as,
Displacement = 1 - 0
Displacement = 1 mile
The displacement of a cyclist who travels 1 mile north 1 mile east then finally 1 mile south will be 1 mile in the east direction.
Learn more about displacement:
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