A crate is pushed horizontally with a force.
The acceleration of gravity is 9.8 m/s2 .
Calculate the acceleration of the crate.
Answer in units of m/s2
1570 N
198 kg
μ = 0.44
ma=F-μ mg
a=F/m -μg
To calculate the acceleration of the crate, we need to consider the applied force, the force of gravity, and the frictional force.
The applied force is 1570 N.
The mass of the crate is 198 kg.
The coefficient of friction, μ, is 0.44.
The force of gravity can be calculated using the formula:
Force of gravity = mass * acceleration due to gravity
Force of gravity = 198 kg * 9.8 m/s^2 = 1940.4 N
The frictional force can be calculated using the formula:
Frictional force = coefficient of friction * force of gravity
Frictional force = 0.44 * 1940.4 N = 853.1 N
To calculate the acceleration, we can use Newton's second law:
Net force = mass * acceleration
Net force = Applied force - Frictional force
1570 N - 853.1 N = 716.9 N
716.9 N = 198 kg * acceleration
Simplifying for acceleration:
acceleration = 716.9 N / 198 kg
acceleration ≈ 3.621 m/s^2
Therefore, the acceleration of the crate is approximately 3.621 m/s^2.
To calculate the acceleration of the crate, we can use Newton's second law of motion.
The formula for Newton's second law is:
F = m * a
Where:
F is the force applied to the crate,
m is the mass of the crate, and
a is the acceleration of the crate.
In this case, the force applied to the crate is given as 1570 N, the mass of the crate is given as 198 kg, and we need to find the acceleration.
To solve for acceleration, we can rearrange the formula:
a = F / m
Plugging in the given values:
a = 1570 N / 198 kg
Now, we can calculate the acceleration:
a ≈ 7.92 m/s^2
Therefore, the acceleration of the crate is approximately 7.92 m/s^2.