Answer:
0 J
Explanation:
Kinetic energy is defined as:
KE = 1/2 m v²
where m is mass and v is velocity.
The car starts at rest, so it has zero velocity. Therefore, its initial kinetic energy is 0 J.
Answer:
402m
Explanation:
We can solve this easily by using the free fall formula:
On both cases the final velocity will be 0m/s (maximum height), so we have:
We know that the velocity the person imparts to the ball will be the same either on Earth or on the Moon, so we write for both cases:
Which means
So we get (taking into account that gravity on earth is 6 times gravity on the Moon):
b.false
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.
#SPJ11
Answer:
0.9 N
Explanation:
The force exerted on an object is related to its change in momentum by:
where
F is the force exerted
is the change in momentum
is the time interval
The change in momentum can be rewritten as
where
m is the mass
u is the initial velocity
v is the final velocity
So the formula can be rewritten as
In this problem we have:
is the mass rate
is the initial velocity
is the final velocity
Therefore, the force exerted by the hail on the roof is:
B. control.
C. variable.
D. observation.