1) velocity: 98 m/s downward
Explanation:
The marble moves by uniformly accelerated motion, with constant acceleration a=g=-9.8 m/s^2 directed towards the ground. Therefore, its velocity at time t is given by:
where
is the initial velocity
is the acceleration
is the time
Substituting t = 10 s, we find:
And the negative sign means the direction of the velocity is downward.
2) Distance covered: 490 m
The distance covered in an uniformly accelerated motion can be found with the formula:
where
is the acceleration
t is the time
Substituting t=10 s, we find
And the negative sign means the displacement is below the dropping point.
Respuesta:
4.9 × 10³ J
Explicación:
Paso 1: Información provista
- Masa del coyote (m): 30 kg
- Velocidad del coyote (v): 65 km/h
Paso 2: Convertir la velocidad del coyote de km/h a m/s
Vamos a usar los siguientes factores de conversion:
65 km/h × (1000 m/1 km) × (1 h/3600 s) = 18 m/s
Paso 3: Calcular la energía cinética del coyote (K)
Usarémos la siguiente fórmula.
K = 1/2 × m × v²
K = 1/2 × 30 kg × (18 m/s)² = 4.9 × 10³ J
Volcanic eruption most likely to happen when the plates are moving intense in the ground. Maybe an earthquake are most likely for a volcanic eruption to occur.
Answer:
Explanation:
Given
coefficient of kinetic friction
mass of locomotive=180,000 kg
v=10 m/s
deceleration provided by friction
Time taken to stop completely is
v=u+at
where v=final velocity
u=initial velocity
a=acceleration
t=510.20 s
Distance traveled during this point
s=2551.02 m
To solve this problem we will apply the concepts related to the conservation of momentum. The momentum can be defined as the product between the mass of the object and its velocity, and the conservation of the momentum as the equality between the change of the initial momentum versus the final momentum. Mathematically, this relationship can be described as
Here,
= Mass of each object
= Initial velocity of each object
= Final velocity of each object
According to the statement one of the bodies does not have initial velocity, therefore said term would be zero. And the equation could be rewritten as,
Replacing the values respectively (The mass of your body with its respective speed we would have)
Therefore the initial velocity of the 2kg cart is 0.55m/s