Acceleration = (change in speed) / (time for the change)
Change in speed = (speed at the end) minus (speed at the beginning.
The cart's acceleration is
(0 - 2 m/s) / (0.3 sec)
= ( -2 / 0.3 ) (m/s²) = -(6 and 2/3) m/s² .
Newton's second law of motion says
Force = (mass) x (acceleration) .
For this cart: Force = (1.5 kg) x ( - 6-2/3 m/s²)
= ( - 1.5 x 20/3 ) (kg-m/s²)
= - 10 newtons .
The force is negative because it acts opposite to the direction
in which the cart is moving, it causes a negative acceleration,
and it eventually stops the cart.
Answer:
The correct answer is A.
Objects in free fall accelerate due to <u>gravity</u>.
Explanation:
Momentum can help an object to keep its state of motion at a constant velocity when no external force is applied. It can never accelerate the object.
According to the laws of motion, we know that acceleration is produced in a body only when a Force is applied in the direction of motion of body.
During a free fall, only the force of gravity is acting on an object and that too in the direction of its motion. Hence, the acceleration produced in a free falling object is due to gravity.
Answer:
0.09 m/s²
Explanation:
Acceleration: This can be defined as the rate of change of velocity.
The S.I unit of acceleration is m/s².
From the question, expression for acceleration is given as
F' = ma
Using Pythagoras Theory,
√(F₁²+F₂²) = ma................... Equation 1
Where F₁ = Force of the First person on the boulder, F₂ = Force of the Second person on the boulder, F' = resultant force acting on the boulder, m = mass of the boulder, a = acceleration of the boulder.
make a the subject of the equation
a = √(F₁²+F₂²) /m................ Equation 2
Given: m = 825 kg, F₁ = 64 N, F₂ = 38 N,
Substitute into equation 2
a = [√(64²+38²)]/825
a = {√(5540)}/825
a = 74.43/825
a = 0.09 m/s²
Wave An oscillation that transfers energy and momentum.
Mechanical wave A disturbance of matter that travels along a medium. Examples include waves on a string, sound, and water waves.
Wave speed Speed at which the wave disturbance moves. Depends only on the properties of the medium. Also called the propagation speed.
Transverse wave Oscillations where particles are displaced perpendicular to the wave direction.
Longitudinal wave Oscillations where particles are displaced parallel to the wave direction.
In a transverse wave, perpendicular to the direction the wave travels, the particles are displaced. Examples of transverse waves include on a string vibrations and on the water surface ripples. By moving the slinky up and down vertically, we can create a horizontal transverse wave.
In a longitudinal wave, parallel to the direction the wave travels, the particles are displaced. Compressions that move along a slinky are an example of longitudinal waves. By pushing and pulling the slinky horizontally, we can make a horizontal longitudinal wave.
Common mistakes and misconceptions
Sometimes people forget that wave velocity is not the same as the velocity of the medium particles. How fast the disturbance travels through a medium is the wave speed. The velocity of the particle is how fast a particle moves about its position of equilibrium.
a) The acceleration of the proton is 
b) The time required to reach the given velocity is 
Explanation:
a)
This is a motion at constant acceleration, so we can use the following suvat equation:

where
v is the final velocity
u is the initial velocity
a is the acceleration
s is the distance covered
For the proton in this problem, we have:
is the final velocity
is the initial velocity (it starts from rest)
is the distance covered
Solving for a, we find the acceleration:

b)
For this part, we can use the following suvat equation instead:

where:
v is the final velocity
u is the initial velocity
a is the acceleration
t is the time taken for the velocity to change from u to v
We have here the following data:
is the final velocity
is the initial velocity (it starts from rest)

Solving for t, we find

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